Metrics for Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.1%)

Memory

-13.0MiB live, 25.1MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.2s (11.4%)

Memory

87.1MiB live, 1 826.1MiB allocated

Samples

813.0ms	8 256×	0	valid
16.0ms	252×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-mult: 241.0ms (45.2% of total)

ival-sub: 83.0ms (15.6% of total)

ival-sqrt: 81.0ms (15.2% of total)

ival-div: 63.0ms (11.8% of total)

ival-add: 46.0ms (8.6% of total)

exact: 11.0ms (2.1% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain192.0ms (1.8%)

Memory

-9.9MiB live, 270.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))`
0	-	-	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
0	-	-	`(*.f64 #s(literal 3 binary64) (sqrt.f64 x))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))`
0	-	-	`(*.f64 x #s(literal 9 binary64))`
0	-	-	`y`
0	-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

85.0ms

512×

valid

Compiler

Compiled 118 to 40 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sub: 43.0ms (63.9% of total)

ival-mult: 13.0ms (19.3% of total)

ival-div: 4.0ms (5.9% of total)

ival-sqrt: 4.0ms (5.9% of total)

ival-add: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess297.0ms (2.8%)

Memory

-39.4MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 216×	`lower-fma.f64`
3 216×	`lower-fma.f32`
1 344×	`lower-*.f32`
1 338×	`lower-*.f64`
1 274×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	84	64
2	304	62
3	1272	62
4	3592	62
5	5843	62
6	7559	62
0	12	14
0	19	14
1	34	12
2	75	12
3	186	12
4	324	12
5	425	12
6	841	12
7	1707	12
8	2627	12
9	3358	12
10	3543	12
11	3573	12
12	3574	12
13	3574	12
14	3776	12
15	4021	12
16	4491	12
17	4491	12
18	4491	12
0	4491	11

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify207.0ms (2%)

Memory

-13.5MiB live, 142.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Rules

3 216×	`lower-fma.f64`
3 216×	`lower-fma.f32`
1 344×	`lower-*.f32`
1 338×	`lower-*.f64`
546×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	19	49
1	34	41
2	75	41
3	186	41
4	324	41
5	425	41
6	841	41
7	1707	41
8	2627	41
9	3358	41
10	3543	41
11	3573	41
12	3574	41
13	3574	41
14	3776	41
15	4021	41
16	4491	41
17	4491	41
18	4491	41
0	4491	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)

Outputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)

localize37.0ms (0.4%)

Memory

8.4MiB live, 81.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
accuracy	0.3125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.46086282154555	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (35.7% of total)

ival-div: 2.0ms (17.8% of total)

ival-sqrt: 2.0ms (17.8% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms	x	@	0	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms	x	@	-inf	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms	x	@	-inf	(* 3 (sqrt x))
0.0ms	y	@	inf	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

simplify302.0ms (2.9%)

Memory

-10.9MiB live, 346.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 212×	`lower-fma.f64`
9 212×	`lower-fma.f32`
4 246×	`lower-*.f64`
4 246×	`lower-*.f32`
2 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	570
1	195	543
2	610	543
3	2210	541
4	6078	541
0	8442	509

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))

rewrite308.0ms (3%)

Memory

20.9MiB live, 371.7MiB allocated

Rules

5 628×	`lower-fma.f64`
5 628×	`lower-fma.f32`
4 000×	`lower-*.f32`
3 994×	`lower-*.f64`
2 686×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	19	32
1	66	26
2	521	26
3	6476	26
0	8295	25

Stop Event

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

Counts

5 → 202

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))

Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 81 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(+.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 y y))) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 y y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
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(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 x #s(literal 9 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 x #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 x #s(literal 9 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (fma.f64 y y (.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))) (-.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 y y)))

eval33.0ms (0.3%)

Memory: -6.0MiB live, 69.2MiB allocated
Compiler: Compiled 6 680 to 748 computations (88.8% saved)

prune63.0ms (0.6%)

Memory

11.2MiB live, 133.0MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	263	19	282
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	263	20	283

Accuracy

100.0%

Counts

283 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
	99.3%	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
	64.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
	99.4%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	99.4%	(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
▶	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
	78.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 y (/.f64 y (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) (.f64 x (*.f64 x #s(literal 81 binary64))))))) #s(literal 1 binary64)))
	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
▶	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶	63.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
▶	63.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
	62.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	67.2%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
	35.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 648 to 450 computations (30.6% saved)

simplify244.0ms (2.3%)

Memory

-17.3MiB live, 189.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 x (.f64 x x)))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
cost-diff	0	(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff	0	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))

Rules

5 944×	`lower-fma.f32`
5 938×	`lower-fma.f64`
2 248×	`lower-*.f32`
2 232×	`lower-*.f64`
1 816×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	274
0	65	269
1	116	243
2	228	243
3	410	239
4	550	239
5	851	239
6	1316	239
7	2313	239
8	3899	239
9	5237	239
10	6252	239
11	7679	239
12	7900	239
13	7910	239
0	8035	238

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))
(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
y
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 9 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/9 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)

Outputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 9 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/9 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(sqrt.f64 x)

localize291.0ms (2.8%)

Memory

-18.7MiB live, 217.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3515625	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy	1.6449815474010498	(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
accuracy	10.983209969684834	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
accuracy	21.279271111525457	(sqrt.f64 (.f64 x (.f64 x x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.19044877930532605	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
accuracy	0.3125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
accuracy	0.3125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.33203125	(/.f64 #s(literal 1/9 binary64) x)
accuracy	32.528424004255044	#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.3125	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	41.121067959089665	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy	0.01171875	(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
accuracy	0.22265625	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
accuracy	0.3125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

84.0ms	241×	0	valid
4.0ms	9×	1	valid
3.0ms	6×	2	valid

Compiler

Compiled 247 to 38 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 31.0ms (43.7% of total)

ival-mult: 18.0ms (25.4% of total)

const: 7.0ms (9.9% of total)

ival-add: 6.0ms (8.5% of total)

ival-sqrt: 4.0ms (5.6% of total)

ival-sub: 3.0ms (4.2% of total)

adjust: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series33.0ms (0.3%)

Memory

2.6MiB live, 41.0MiB allocated

Counts

19 → 372

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) (patch (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x (.f64 x x))) (patch (sqrt.f64 (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (patch (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* y (* (sqrt x) 3))
1.0ms	x	@	-inf	(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
1.0ms	y	@	0	(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
1.0ms	x	@	0	(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
1.0ms	x	@	-inf	(* y (* (sqrt x) 3))

simplify428.0ms (4.1%)

Memory

29.3MiB live, 313.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 200×	`lower-fma.f64`
15 200×	`lower-fma.f32`
5 066×	`lower-*.f64`
5 066×	`lower-*.f32`
3 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	3529
1	429	3291
2	1449	3282
3	3451	3275
0	8504	3080

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 358

Calls

Call 1

Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 1/3 (sqrt x))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(* (sqrt (pow x 3)) (- (* 3 y) 3))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(* 3 (* (sqrt (pow x 3)) y))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(* 3 (* (sqrt (pow x 3)) y))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
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(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* 3 (* (sqrt (pow x 3)) y))
(.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* 3 (* (sqrt (pow x 3)) y))
(.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

rewrite279.0ms (2.7%)

Memory

-7.7MiB live, 429.5MiB allocated

Rules

5 838×	`lower-fma.f32`
5 832×	`lower-fma.f64`
5 562×	`lower-*.f32`
5 546×	`lower-*.f64`
4 274×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	201
0	65	175
1	264	171
2	1702	171
0	8819	171

Stop Event

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

Counts

19 → 431

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt.f64 (.f64 x (.f64 x x)))
(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(fma.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
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(/.f64 (.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 y y) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 y y)) (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (.f64 y y) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))
(.f64 (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(.f64 (-.f64 (.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(.f64 #s(literal 1 binary64) #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)))
(.f64 #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

eval235.0ms (2.3%)

Memory: -24.7MiB live, 221.5MiB allocated
Compiler: Compiled 18 068 to 1 153 computations (93.6% saved)

prune158.0ms (1.5%)

Memory

9.4MiB live, 173.6MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	891	22	913
Fresh	9	5	14
Picked	3	2	5
Done	1	0	1
Total	904	29	933

Accuracy

100.0%

Counts

933 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
▶	99.4%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	63.9%	(.f64 (.f64 (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
	99.4%	(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
	63.9%	(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
	63.8%	(.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
	64.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
	63.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	35.8%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
	62.8%	#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	67.2%	#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
	35.9%	#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	82.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x))
	46.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (neg.f64 (.f64 x #s(literal 1/9 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x))
	50.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) x))
	45.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) x))
	28.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
	18.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) x))
	35.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
	82.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))))
▶	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
▶	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
✓	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
▶	99.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
	2.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))

Compiler

Compiled 866 to 575 computations (33.6% saved)

simplify486.0ms (4.7%)

Memory

25.4MiB live, 178.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
cost-diff	0	(sqrt.f64 x)
cost-diff	128	(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
cost-diff	832	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
cost-diff	0	(+.f64 y #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
cost-diff	128	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
cost-diff	0	#s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))

Rules

14 956×	`lower-fma.f32`
14 950×	`lower-fma.f64`
2 814×	`lower-*.f32`
2 798×	`lower-*.f64`
1 672×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	280
0	72	278
1	137	268
2	277	263
3	433	263
4	512	263
5	718	263
6	1244	263
7	2112	263
8	3285	263
9	4404	263
10	5322	263
11	6848	263
12	7673	263
13	7809	263
14	7809	263
15	7967	263
16	7989	263
17	7995	263
18	7995	263
0	8388	259

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(sqrt.f64 x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
y

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(sqrt.f64 x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
x
y
#s(literal 3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
y

localize306.0ms (2.9%)

Memory

-16.9MiB live, 107.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
accuracy	0.33203125	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0.3359375	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
accuracy	0.015625	(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
accuracy	0.20703125	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.3125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.33203125	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.36556625976844204	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.39453125	(/.f64 #s(literal 1/3 binary64) x)
accuracy	22.842659143733748	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
accuracy	0	(sqrt.f64 x)
accuracy	0.24609375	(*.f64 (sqrt.f64 x) y)
accuracy	0.2890625	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
accuracy	41.121067959089665	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
accuracy	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
accuracy	0.12890625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.1484375	(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
accuracy	0.29296875	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))

Samples

240.0ms	223×	0	valid
9.0ms	16×	1	valid
8.0ms	12×	2	valid
4.0ms	5×	3	valid

Compiler

Compiled 225 to 46 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-add: 117.0ms (49% of total)

ival-mult: 94.0ms (39.4% of total)

ival-div: 8.0ms (3.4% of total)

const: 7.0ms (2.9% of total)

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

adjust: 4.0ms (1.7% of total)

ival-sub: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series85.0ms (0.8%)

Memory

-16.0MiB live, 21.5MiB allocated

Counts

21 → 408

Calls

Call 1

Inputs
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (patch #s(approx (/ (+ ( (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (patch (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (patch (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (patch (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3)))
1.0ms	x	@	-inf	(+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y))))
1.0ms	x	@	-inf	(* (sqrt x) (+ -3 (/ 1/3 x)))
0.0ms	x	@	inf	(+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y))))
0.0ms	y	@	0	(+ (* 1/3 (sqrt (/ 1 x))) (* (sqrt x) (+ (* 3 y) -3)))

simplify367.0ms (3.5%)

Memory

13.5MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 184×	`lower-fma.f64`
13 184×	`lower-fma.f32`
4 520×	`lower-*.f64`
4 520×	`lower-*.f32`
2 114×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	4166
1	556	3878
2	1901	3868
3	3637	3860
0	8128	3555

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 404

Calls

Call 1

Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(* 3 (* (sqrt x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* 1/3 (sqrt (/ 1 x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* (sqrt x) (- (* 3 y) 3))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -3 (sqrt x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
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(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

rewrite345.0ms (3.3%)

Memory

26.3MiB live, 457.3MiB allocated

Rules

8 456×	`lower-fma.f32`
8 450×	`lower-fma.f64`
3 786×	`lower-*.f32`
3 770×	`lower-*.f64`
3 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	235
0	72	232
1	289	217
2	2454	217
0	8323	209

Stop Event

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

Counts

21 → 629

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
#s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (/.f64 (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 x #s(literal 9 binary64)) (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 (.f64 x #s(literal 9 binary64)) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
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(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (fma.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))))))
(.f64 #s(literal 3 binary64) (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 (.f64 x #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))))
(fma.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64))) (-.f64 (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal -9 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 x #s(literal 9 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)) (sqrt.f64 x))) (neg.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) #s(literal -27 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (fma.f64 x #s(literal 9 binary64) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

eval167.0ms (1.6%)

Memory: -15.7MiB live, 333.8MiB allocated
Compiler: Compiled 23 492 to 1 895 computations (91.9% saved)

prune362.0ms (3.5%)

Memory

15.8MiB live, 431.5MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1 179	16	1 195
Fresh	11	11	22
Picked	2	3	5
Done	0	2	2
Total	1 192	32	1 224

Accuracy

100.0%

Counts

1 224 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
▶	99.5%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
	62.8%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
	82.2%	(.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	99.4%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	99.4%	(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
	99.4%	(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
	63.9%	(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
	63.8%	(.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
▶	63.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	35.8%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
	57.0%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
	35.6%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	67.2%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
▶	35.9%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	62.8%	#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
	50.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) x))
	18.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) x))
	35.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
✓	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
▶	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
	64.0%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64))))))
	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
✓	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	63.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
	35.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
▶	28.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
✓	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	2.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))

Compiler

Compiled 784 to 542 computations (30.9% saved)

simplify314.0ms (3%)

Memory

-13.4MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	0	(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	128	(.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	832	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))

Rules

3 744×	`lower-fma.f32`
3 740×	`lower-fma.f64`
1 684×	`lower-*.f32`
1 668×	`lower-*.f64`
616×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	270
0	68	268
1	128	235
2	287	233
3	462	233
4	555	233
5	782	233
6	1353	233
7	2144	233
8	3136	233
9	3899	233
10	4132	233
11	4203	233
12	4228	233
13	4234	233
14	4545	233
15	4674	233
16	4902	233
17	5326	233
18	5398	233
19	5398	233
20	5402	233
21	5402	233
22	5402	233
23	5402	233
24	5414	233
25	5456	233
0	5456	230

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)))
(.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
(sqrt.f64 x)
x
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(sqrt.f64 x)
x
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
#s(literal 3 binary64)
y
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)

Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)
(-.f64 y (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
(sqrt.f64 x)
x
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(sqrt.f64 x)
x
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
#s(literal 3 binary64)
y
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)

localize144.0ms (1.4%)

Memory

12.2MiB live, 245.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
accuracy	0.3125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.46086282154555	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	32.528424004255044	#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
accuracy	0.01953125	(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.328125	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
accuracy	0.39453125	(/.f64 #s(literal 1/3 binary64) x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.12890625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.390625	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	40.89705366108996	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(sqrt.f64 x)
accuracy	0.36556625976844204	(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
accuracy	22.842659143733748	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
accuracy	31.561083832376415	#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
accuracy	0.265625	(.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))
accuracy	0.3359375	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)))
accuracy	0.46086282154555	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

84.0ms	230×	0	valid
5.0ms	12×	1	valid
5.0ms	9×	2	valid
3.0ms	5×	3	valid

Compiler

Compiled 223 to 36 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 45.0ms (60% of total)

ival-add: 8.0ms (10.7% of total)

ival-div: 7.0ms (9.3% of total)

const: 6.0ms (8% of total)

ival-sqrt: 4.0ms (5.3% of total)

adjust: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory

-9.7MiB live, 31.6MiB allocated

Counts

19 → 348

Calls

Call 1

Inputs
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)) (patch (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))) (patch (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (+ ( (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (patch #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))) (patch (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y)))) #<representation binary64>) () ())) ())
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#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
0.0ms	x	@	-inf	(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
0.0ms	y	@	inf	(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	y	@	-inf	(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))

simplify303.0ms (2.9%)

Memory

-5.3MiB live, 433.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 972×	`lower-fma.f64`
13 972×	`lower-fma.f32`
5 076×	`lower-*.f64`
5 076×	`lower-*.f32`
1 918×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	3735
1	559	3350
2	1789	3319
3	3870	3319
0	8373	3075

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -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)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(* 3 (* (sqrt x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* 1/3 (sqrt (/ 1 x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))

Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 x (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 x (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 x (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* 3 (* (sqrt x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
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(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))

rewrite584.0ms (5.6%)

Memory

-126.3MiB live, 529.1MiB allocated

Rules

5 488×	`lower-*.f32`
5 472×	`lower-*.f64`
4 160×	`lower-/.f32`
4 154×	`lower-/.f64`
2 920×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	206
0	68	204
1	255	174
2	2140	174
0	8739	172

Stop Event

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

Counts

19 → 353

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) y))
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)))
(/.f64 #s(literal 1/3 binary64) x)
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))

Outputs
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 x #s(literal 9 binary64)) (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (.f64 x #s(literal 9 binary64))))
(/.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (sqrt.f64 x))))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) (neg.f64 (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 x (sqrt.f64 x)))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (-.f64 (.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))) (.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (-.f64 (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 9 binary64) (.f64 y y))))
(/.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (sqrt.f64 x)) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 9 binary64) (.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 9 binary64)) (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (.f64 (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) (.f64 (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (sqrt.f64 x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
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(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))))) (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (.f64 y y) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 y y)))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y y))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (.f64 y y) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(.f64 #s(literal 3 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(.f64 #s(literal 1 binary64) #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)))
(.f64 #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))

eval190.0ms (1.8%)

Memory: 21.8MiB live, 333.5MiB allocated
Compiler: Compiled 14 469 to 1 171 computations (91.9% saved)

prune197.0ms (1.9%)

Memory

-23.4MiB live, 221.3MiB allocated

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	813	8	821
Fresh	8	14	22
Picked	1	4	5
Done	0	5	5
Total	822	31	853

Accuracy

100.0%

Counts

853 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
	62.8%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1 (* x 9)) y)) (*.f64 #s(literal 3 binary64) y))))
	82.2%	(.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	99.4%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	99.4%	(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
	99.4%	(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
	63.9%	(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
	63.8%	(.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
✓	63.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	35.8%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
	57.0%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
	35.6%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	67.2%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
	35.9%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
	35.9%	#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
	62.8%	#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
	50.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) x))
	18.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) x))
	35.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
✓	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
✓	99.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
✓	63.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	35.8%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
	63.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
✓	28.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
✓	35.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Compiler

Compiled 1 272 to 456 computations (64.2% saved)

regimes66.0ms (0.6%)

Memory

19.0MiB live, 100.4MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1 (* x 9)) y)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y))))
(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 y (/.f64 y (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) (.f64 x (*.f64 x #s(literal 81 binary64))))))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (neg.f64 (.f64 x #s(literal 1/9 binary64)))) (fma.f64 (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))

Calls

3 calls:

22.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
22.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes45.0ms (0.4%)

Memory

-11.3MiB live, 64.3MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1 (* x 9)) y)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))

Outputs
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))

Calls

3 calls:

15.0ms	x
15.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
13.0ms	y

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes43.0ms (0.4%)

Memory

-22.4MiB live, 100.5MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) #s(approx ( 3 (+ (/ 1 (* x 9)) y)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 3 binary64) y))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))

Calls

3 calls:

13.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
12.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes29.0ms (0.3%)

Memory

13.5MiB live, 51.6MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))

Calls

3 calls:

11.0ms	x
8.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
8.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes27.0ms (0.3%)

Memory

11.7MiB live, 50.2MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Calls

3 calls:

10.0ms	y
8.0ms	x
8.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
86.2%	2	`x`
89.9%	3	`y`
92.0%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Calls

1 calls:

7.0ms

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
92.0%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-25.7MiB live, 14.4MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Calls

1 calls:

11.0ms

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
91.9%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ ( 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(approx (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Calls

1 calls:

6.0ms

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.8%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Calls

1 calls:

4.0ms

(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.7%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-18.0MiB live, 20.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))

Calls

3 calls:

5.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
62.8%	1	`x`
62.8%	1	`y`
62.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1 (* x 9)) y)))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))

Calls

3 calls:

3.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
58.6%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
45.3%	4	`x`
61.3%	3	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Outputs

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

-30.8MiB live, 8.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

Calls

3 calls:

22.0ms	x
1.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
28.6%	1	`x`
28.6%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
28.6%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.390981984478028e+151	1.75650221881052e+157
0.0ms	-3.1427998583664357e+27	-2.8416751349182953e+26

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.390981984478028e+151	1.75650221881052e+157
0.0ms	-3.1427998583664357e+27	-2.8416751349182953e+26

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.390981984478028e+151	1.75650221881052e+157
0.0ms	-3.1427998583664357e+27	-2.8416751349182953e+26

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.390981984478028e+151	1.75650221881052e+157
0.0ms	-5.4309880610309955	275.431752802622

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.390981984478028e+151	1.75650221881052e+157
0.0ms	-5.4309880610309955	275.431752802622

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch33.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.309791380764436e-7	1.4955437437883168
14.0ms	-1.8086499393612027e+27	-8.6138877300897e+21

Samples

18.0ms

288×

valid

Compiler

Compiled 361 to 251 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.8% of total)

ival-div: 2.0ms (16.3% of total)

ival-sqrt: 2.0ms (16.3% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

-36.4MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	6.309791380764436e-7	1.4955437437883168
1.0ms	-1.8086499393612027e+27	-8.6138877300897e+21

Compiler

Compiled 361 to 251 computations (30.5% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.309791380764436e-7	1.4955437437883168
1.0ms	-1.8086499393612027e+27	-8.6138877300897e+21

Compiler

Compiled 361 to 251 computations (30.5% saved)

simplify14.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
14×	`+-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	867
1	139	867
2	143	867
3	146	867
4	149	867
5	152	867

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64)))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64)))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64)))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -2000000000000000026575110144 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -5 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -5 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -5 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -8700000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

soundness1.7s (16.3%)

Memory

38.8MiB live, 1 268.3MiB allocated

Rules

15 200×	`lower-fma.f64`
15 200×	`lower-fma.f32`
13 184×	`lower-fma.f64`
13 184×	`lower-fma.f32`
9 212×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	235
0	72	232
1	289	217
2	2454	217
0	8323	209
0	147	3529
1	429	3291
2	1449	3282
3	3451	3275
0	8504	3080
0	40	201
0	65	175
1	264	171
2	1702	171
0	8819	171
0	12	32
0	19	32
1	66	26
2	521	26
3	6476	26
0	8295	25
0	46	206
0	68	204
1	255	174
2	2140	174
0	8739	172
0	72	570
1	195	543
2	610	543
3	2210	541
4	6078	541
0	8442	509
0	189	4166
1	556	3878
2	1901	3868
3	3637	3860
0	8128	3555

Stop Event

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

Compiler

Compiled 996 to 426 computations (57.2% saved)

preprocess191.0ms (1.8%)

Memory: -6.9MiB live, 203.9MiB allocated
Compiler: Compiled 944 to 186 computations (80.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.1%)

sample1.2s (11.4%)

explain192.0ms (1.8%)

preprocess297.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify207.0ms (2%)

localize37.0ms (0.4%)

series9.0ms (0.1%)

simplify302.0ms (2.9%)

rewrite308.0ms (3%)

eval33.0ms (0.3%)

prune63.0ms (0.6%)

simplify244.0ms (2.3%)

localize291.0ms (2.8%)

series33.0ms (0.3%)

simplify428.0ms (4.1%)

rewrite279.0ms (2.7%)

eval235.0ms (2.3%)

prune158.0ms (1.5%)

simplify486.0ms (4.7%)

localize306.0ms (2.9%)

series85.0ms (0.8%)

simplify367.0ms (3.5%)

rewrite345.0ms (3.3%)

eval167.0ms (1.6%)

prune362.0ms (3.5%)

simplify314.0ms (3%)

localize144.0ms (1.4%)

series38.0ms (0.4%)

simplify303.0ms (2.9%)

rewrite584.0ms (5.6%)

eval190.0ms (1.8%)

prune197.0ms (1.9%)

regimes66.0ms (0.6%)

regimes45.0ms (0.4%)

regimes43.0ms (0.4%)

regimes29.0ms (0.3%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes25.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch33.0ms (0.3%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0%)

simplify14.0ms (0.1%)

soundness1.7s (16.3%)

preprocess191.0ms (1.8%)

end0.0ms (0%)

Profiling