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

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze14.0ms (0.1%)

Memory

-13.5MiB live, 23.8MiB 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)

sample1.1s (11.4%)

Memory

8.7MiB live, 1 565.4MiB allocated

Samples

737.0ms	8 256×	0	valid
15.0ms	237×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 491.0ms

ival-mult: 165.0ms (33.6% of total)

ival-div: 96.0ms (19.6% of total)

ival-sqrt: 91.0ms (18.5% of total)

ival-add: 76.0ms (15.5% of total)

ival-sub: 41.0ms (8.4% of total)

exact: 12.0ms (2.4% of total)

ival-true: 7.0ms (1.4% of total)

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

Bogosity

explain190.0ms (2%)

Memory

23.6MiB live, 260.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

42.0ms

512×

valid

Compiler

Compiled 118 to 40 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 9.0ms (38.2% of total)

ival-sqrt: 5.0ms (21.2% of total)

ival-div: 4.0ms (17% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

exact: 1.0ms (4.2% of total)

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

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

preprocess253.0ms (2.7%)

Memory

-26.3MiB live, 181.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 608×	`lower-fma.f64`
1 608×	`lower-fma.f32`
672×	`lower-*.f32`
669×	`lower-*.f64`
637×	`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 (fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) y) #s(literal -3 binary64) #s(literal -3 binary64)) (sqrt.f64 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)

simplify180.0ms (1.9%)

Memory

16.3MiB live, 53.9MiB 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

1 608×	`lower-fma.f64`
1 608×	`lower-fma.f32`
672×	`lower-*.f32`
669×	`lower-*.f64`
273×	`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 (fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) y) #s(literal -3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(*.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 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) y))
(+.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))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)

localize72.0ms (0.8%)

Memory

-12.8MiB live, 67.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.23828125	(.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	0.2421875	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

26.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (63.5% of total)

ival-div: 2.0ms (11.5% of total)

ival-sqrt: 2.0ms (11.5% of total)

ival-sub: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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	x	@	0	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms	y	@	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))

simplify149.0ms (1.6%)

Memory

7.2MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 606×	`lower-fma.f64`
4 606×	`lower-fma.f32`
2 123×	`lower-*.f64`
2 123×	`lower-*.f32`
1 348×	`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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* 3 (* (sqrt x) y))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* 3 (* (sqrt x) y))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (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)
(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 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)

rewrite216.0ms (2.3%)

Memory

-11.8MiB live, 299.0MiB allocated

Rules

2 814×	`lower-fma.f64`
2 814×	`lower-fma.f32`
2 000×	`lower-*.f32`
1 997×	`lower-*.f64`
1 343×	`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
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.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 #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))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.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 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) (-.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (fma.f64 (.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))))) (fma.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/9 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (fma.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)))))
(.f64 (.f64 (*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
(.f64 (.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))
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(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (-.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 (.f64 #s(literal -81 binary64) x) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x) y)
(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 (*.f64 #s(literal -81 binary64) x) x)))))
(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y)
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(-.f64 (.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (.f64 (.f64 #s(literal -81 binary64) x) x))))
(-.f64 y (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (.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 (.f64 #s(literal -81 binary64) x) x)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)

eval70.0ms (0.7%)

Memory: -0.5MiB live, 75.6MiB allocated
Compiler: Compiled 6 680 to 752 computations (88.7% saved)

prune84.0ms (0.9%)

Memory

-15.1MiB live, 148.0MiB 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 #s(literal 1/9 binary64) x) (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
	62.9%	(/.f64 (.f64 (.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)))
	99.4%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))))
	62.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))))
	99.4%	(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
	99.4%	(.f64 (.f64 (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #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)))
	65.7%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #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)))
	66.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -81 binary64) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 1 binary64)))
	93.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
▶	64.5%	(.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)))
	61.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x))
▶	66.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x))
	63.0%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
	64.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
▶	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
	35.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))

Compiler

Compiled 678 to 452 computations (33.3% saved)

simplify225.0ms (2.4%)

Memory

9.5MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
cost-diff	0	(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) 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 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
cost-diff	0	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
cost-diff	128	(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff	1152	(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Rules

3 474×	`lower-fma.f32`
3 470×	`lower-fma.f64`
1 450×	`lower-*.f32`
1 440×	`lower-*.f64`
499×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	299
0	68	292
1	125	268
2	262	263
3	513	263
4	719	263
5	1113	263
6	1699	263
7	2734	263
8	4456	263
9	5846	263
10	6787	263
11	7133	263
12	7282	263
13	7399	263
0	8008	262

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (2.3%)

Memory

-29.9MiB live, 275.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33869537839280517	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
accuracy	1.4085756878477467	(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/3 binary64)))
accuracy	14.041109483210297	(.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/3 binary64))) x)
accuracy	19.611021458224517	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
accuracy	0.00390625	(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))
accuracy	0.15625	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
accuracy	0.23828125	(.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	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.23828125	(.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	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.34765625	(/.f64 #s(literal 1/9 binary64) x)
accuracy	32.18470500338538	#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.265625	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	40.76617249360478	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
accuracy	0.11328125	(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.16796875	(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy	0.265625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.34765625	(/.f64 #s(literal 1/9 binary64) x)

Samples

98.0ms	236×	0	valid
23.0ms	14×	1	valid
4.0ms	6×	2	valid

Compiler

Compiled 269 to 40 computations (85.1% saved)

Precisions

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

ival-mult: 25.0ms (43.8% of total)

ival-div: 7.0ms (12.3% of total)

const: 7.0ms (12.3% of total)

ival-sqrt: 7.0ms (12.3% of total)

ival-add: 6.0ms (10.5% of total)

ival-sub: 4.0ms (7% of total)

adjust: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series37.0ms (0.4%)

Memory

2.1MiB live, 77.3MiB allocated

Counts

20 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) x)
2.0ms	x	@	-inf	(+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3)))
1.0ms	y	@	0	(* (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) x)
1.0ms	x	@	-inf	(* (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) x)
1.0ms	x	@	-inf	(* (* 3 (sqrt x)) y)

simplify190.0ms (2%)

Memory

29.9MiB live, 265.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 855×	`lower-fma.f64`
7 855×	`lower-fma.f32`
2 135×	`lower-*.f64`
2 135×	`lower-*.f32`
1 446×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	3977
1	488	3717
2	1624	3713
3	3713	3706
0	8330	3469

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 384

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

rewrite362.0ms (3.9%)

Memory

-1.4MiB live, 280.9MiB allocated

Rules

2 793×	`lower-*.f32`
2 783×	`lower-*.f64`
1 874×	`lower-/.f32`
1 871×	`lower-/.f64`
1 617×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	228
0	68	211
1	262	185
2	2054	184
0	8375	181

Stop Event

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

Counts

20 → 736

Calls

Call 1

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

Outputs
(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (.f64 (.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (.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 binary64) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal 1 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 27 binary64) (.f64 (.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 x x)))))
(.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))
(.f64 #s(literal 3 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x) (/.f64 (.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) x)))
(.f64 #s(literal 3 binary64) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)))
(pow.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 27 binary64) (.f64 (.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 27 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 x x)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) 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) (-.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 9 binary64)))) (.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 x) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 (neg.f64 x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (*.f64 (neg.f64 x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 x) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 (neg.f64 x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (*.f64 (neg.f64 x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 x) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (neg.f64 x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (.f64 (neg.f64 x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 x (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 x (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 x (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (.f64 x (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (/.f64 x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (/.f64 x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (/.f64 x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x (.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (.f64 y y) y #s(literal -1 binary64))))) (.f64 (/.f64 x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (*.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 (.f64 #s(literal 9 binary64) x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (*.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 1 binary64) y)))
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(+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal 1 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))
(+.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(+.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (*.f64 x x)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))

eval334.0ms (3.6%)

Memory: 8.9MiB live, 228.1MiB allocated
Compiler: Compiled 29 234 to 2 346 computations (92% saved)

prune371.0ms (4%)

Memory

-6.8MiB live, 347.5MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 263	23	1 286
Fresh	9	5	14
Picked	3	2	5
Done	1	0	1
Total	1 276	30	1 306

Accuracy

100.0%

Counts

1 306 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
	99.4%	(fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x))
▶	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
	59.3%	(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) x (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
	99.4%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))))
	99.4%	(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
	64.5%	(.f64 (.f64 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
	99.4%	(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
	81.7%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/9 binary64) x)))
✓	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)))
	93.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ (* (/ 1 x) 1/9) y) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
	64.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)))
	35.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ (* (/ 1 x) 1/9) y) 1) (/.f64 #s(literal 1/9 binary64) x)))
	62.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ (* (/ 1 x) 1/9) y) 1) (-.f64 y #s(literal 1 binary64))))
	99.4%	(.f64 #s(literal 3 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x) (/.f64 (.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) x)))
▶	99.5%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
	61.4%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x))
	63.0%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
	35.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	64.5%	#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
	77.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) x))) x))
▶	64.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y))
✓	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
▶	57.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
	30.9%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
	2.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x))))

Compiler

Compiled 840 to 583 computations (30.6% saved)

simplify338.0ms (3.6%)

Memory

-9.3MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 352×	`lower-fma.f32`
2 349×	`lower-fma.f64`
960×	`lower-*.f32`
952×	`lower-*.f64`
489×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	329
0	77	324
1	128	310
2	257	305
3	480	305
4	721	305
5	1327	305
6	2634	305
7	3781	305
8	4199	305
9	4468	305
10	4619	305
11	4671	305
12	5280	305
13	5679	305
14	6079	305
15	6097	305
16	6169	305
17	6293	305
18	6525	305
19	6527	305
20	6527	305
21	6527	305
22	6527	305
0	6527	300

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize455.0ms (4.9%)

Memory

33.7MiB live, 266.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy	0.2265625	(*.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64))
accuracy	0.34765625	(/.f64 #s(literal -1/9 binary64) x)
accuracy	0.40072250976844204	(.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	0.1171875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.5101491974255059	(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	14.041109483210297	(.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
accuracy	22.465973248925675	#s(approx (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(sqrt.f64 x)
accuracy	0.30859375	(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy	0.4453125	(/.f64 #s(literal 1/3 binary64) x)
accuracy	22.47880833331608	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.37890625	(.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	40.76617249360478	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy	0	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
accuracy	0.1171875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.13671875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
accuracy	0.27734375	(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))

Samples

240.0ms	216×	0	valid
82.0ms	23×	1	valid
10.0ms	13×	2	valid
4.0ms	4×	3	valid

Compiler

Compiled 257 to 49 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-add: 152.0ms (48.9% of total)

ival-mult: 123.0ms (39.6% of total)

ival-div: 11.0ms (3.5% of total)

const: 10.0ms (3.2% of total)

ival-sqrt: 6.0ms (1.9% of total)

adjust: 4.0ms (1.3% of total)

ival-sub: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series115.0ms (1.2%)

Memory

-28.3MiB live, 56.7MiB allocated

Counts

21 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

simplify216.0ms (2.3%)

Memory

13.5MiB live, 293.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 689×	`lower-fma.f64`
9 689×	`lower-fma.f32`
2 466×	`lower-*.f64`
2 466×	`lower-*.f32`
1 266×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	4786
1	605	4454
2	2122	4436
3	4137	4436
0	8140	4070

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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)) (* 1/3 (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)))))
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(/ (+ (* 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)))))))
(* -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))))))
(* (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))))
(/ -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)

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

rewrite252.0ms (2.7%)

Memory

19.2MiB live, 250.2MiB allocated

Rules

2 980×	`lower-*.f32`
2 972×	`lower-*.f64`
2 082×	`lower-fma.f32`
2 079×	`lower-fma.f64`
1 914×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	281
0	77	270
1	286	236
2	2318	236
0	9003	230

Stop Event

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

Counts

21 → 254

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x))))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 x) x)))) #s(literal -1 binary64))
(/.f64 (-.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 y #s(literal 3 binary64) #s(literal -3 binary64))))) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x))) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (.f64 (sqrt.f64 x) (.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 y y) y) #s(literal -27 binary64)) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64))))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64))))) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (.f64 (.f64 y y) y) #s(literal -27 binary64))))) (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 y y) y) #s(literal -27 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1/3 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (sqrt.f64 x)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64))) (sqrt.f64 x) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (.f64 (.f64 y y) y) #s(literal -27 binary64))) (sqrt.f64 x) (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1/3 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 x) x)))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 x) x))) (fma.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x (-.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 x) x))) (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 x) x)))))
(fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #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 y #s(literal 3 binary64) #s(literal -3 binary64))))
(-.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 y #s(literal 3 binary64) #s(literal -3 binary64))))) (/.f64 (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (log.f64 x)))
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 3 binary64)))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
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(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 9 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 x)) (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(/.f64 (.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 9 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x)))) (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/9 binary64) (.f64 x x))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #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 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (.f64 (sqrt.f64 x) (/.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 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
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(/.f64 (.f64 (fma.f64 y y (neg.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) #s(literal 3 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y y)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (neg.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x))))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 y y) y (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y y)))
(fma.f64 y #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal 3 binary64) y (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (.f64 y #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))
(+.f64 (.f64 y #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
(.f64 (.f64 (sqrt.f64 x) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64))
(.f64 (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (sqrt.f64 x) (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))
(.f64 #s(literal 3 binary64) (.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x)))
(/.f64 (.f64 (fma.f64 y y (neg.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (.f64 y y)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 y y) y) #s(literal -27 binary64)) (sqrt.f64 x)) (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64))) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (.f64 (.f64 y y) y) #s(literal -27 binary64))) (fma.f64 (.f64 y y) #s(literal 9 binary64) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))))
(fma.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(fma.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.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 -1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)))

eval123.0ms (1.3%)

Memory: 0.0MiB live, 118.1MiB allocated
Compiler: Compiled 13 357 to 948 computations (92.9% saved)

prune201.0ms (2.2%)

Memory

-30.6MiB live, 132.5MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	809	13	822
Fresh	10	13	23
Picked	3	2	5
Done	0	2	2
Total	822	30	852

Accuracy

100.0%

Counts

852 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 #s(approx ( (- y (/ -1/9 x)) 3) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)))
	64.5%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 #s(approx ( (- y (/ -1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
	59.3%	(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) x (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
	99.4%	(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
▶	64.5%	(.f64 (.f64 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
	99.4%	(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
✓	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)))
	93.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ (* (/ 1 x) 1/9) y) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
	64.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)))
	35.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ (* (/ 1 x) 1/9) y) 1) (/.f64 #s(literal 1/9 binary64) x)))
	62.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ (* (/ 1 x) 1/9) y) 1) (-.f64 y #s(literal 1 binary64))))
	99.4%	(.f64 #s(literal 3 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x) (/.f64 (.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) x)))
▶	99.5%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
	63.0%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
	36.1%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	35.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	57.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) x))
	81.4%	#s(approx (+ (* (sqrt x) -3) (* (* (- y (/ -1/9 x)) 3) (sqrt x))) (/.f64 (fma.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x))
	57.1%	#s(approx (+ (* (sqrt x) -3) (* (* (- y (/ -1/9 x)) 3) (sqrt x))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	64.5%	#s(approx (* (* 3 (sqrt x)) (- (+ (* (/ 1 x) 1/9) y) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
	64.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
✓	64.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
✓	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
	35.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
▶	29.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
▶	57.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) x))
	29.3%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) #s(approx (* (+ (* y 3) -3) (sqrt (/ 1 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
	2.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x))))

Compiler

Compiled 742 to 505 computations (31.9% saved)

simplify219.0ms (2.3%)

Memory

4.8MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 995×	`lower-fma.f32`
2 993×	`lower-fma.f64`
1 350×	`lower-*.f32`
1 343×	`lower-*.f64`
505×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	354
0	73	344
1	123	316
2	257	312
3	651	312
4	981	312
5	1395	312
6	1940	312
7	2944	312
8	5052	312
9	6420	312
10	7224	312
11	7527	312
12	7692	312
13	7778	312
0	8012	308

Stop Event

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

Calls

Call 1

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

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

localize306.0ms (3.3%)

Memory

-7.9MiB live, 160.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.35546875	(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy	0.5101491974255059	(.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
accuracy	14.041109483210297	(.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) x)
accuracy	22.465973248925675	#s(approx (+ (* (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
accuracy	0.19921875	(.f64 (-.f64 #s(approx (+ y (/ 1 ( x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	0.25	(.f64 (.f64 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.34765625	(/.f64 #s(literal 1/9 binary64) x)
accuracy	32.18470500338538	#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.1171875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.375	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
accuracy	41.03695070488668	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.30859375	(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy	22.47880833331608	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
accuracy	31.848409280562453	#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
accuracy	0.20703125	(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
accuracy	0.4296875	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

Samples

152.0ms	236×	0	valid
8.0ms	14×	1	valid
4.0ms	6×	2	valid

Compiler

Compiled 254 to 46 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 60.0ms (45.5% of total)

ival-div: 49.0ms (37.2% of total)

ival-add: 7.0ms (5.3% of total)

const: 7.0ms (5.3% of total)

ival-sqrt: 5.0ms (3.8% of total)

ival-sub: 2.0ms (1.5% of total)

adjust: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series60.0ms (0.6%)

Memory

-5.3MiB live, 35.9MiB allocated

Counts

22 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

simplify237.0ms (2.5%)

Memory

25.2MiB live, 335.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 353×	`lower-fma.f64`
7 353×	`lower-fma.f32`
1 992×	`lower-*.f64`
1 992×	`lower-*.f32`
1 170×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	4540
1	605	4295
2	1994	4287
3	4508	4287
0	8133	3978

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

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

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

rewrite232.0ms (2.5%)

Memory

18.7MiB live, 372.0MiB allocated

Rules

3 117×	`lower-*.f32`
3 110×	`lower-*.f64`
2 190×	`lower-/.f32`
2 187×	`lower-/.f64`
2 054×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	322
0	73	300
1	270	255
2	2124	255
0	9346	252

Stop Event

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

Counts

22 → 347

Calls

Call 1

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

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

eval111.0ms (1.2%)

Memory: -18.2MiB live, 256.5MiB allocated
Compiler: Compiled 15 057 to 1 264 computations (91.6% saved)

prune164.0ms (1.8%)

Memory

11.4MiB live, 379.0MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	894	10	904
Fresh	9	12	21
Picked	1	4	5
Done	0	4	4
Total	904	30	934

Accuracy

100.0%

Counts

934 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 #s(approx ( (- y (/ -1/9 x)) 3) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)))
	99.4%	(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
	93.6%	(.f64 (.f64 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
✓	64.5%	(.f64 (.f64 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
	99.4%	(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
	35.7%	(.f64 (.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
	62.9%	(.f64 (.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #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)))
	64.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)))
	35.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ (* (/ 1 x) 1/9) y) 1) (/.f64 #s(literal 1/9 binary64) x)))
	36.1%	(.f64 #s(approx ( (- (+ y (/ 1 (* x 9))) 1) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
✓	99.5%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
	70.6%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
	64.5%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
	35.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	35.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
	63.0%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
✓	35.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
	57.7%	#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) x))
	81.4%	#s(approx (+ (* (sqrt x) -3) (* (* (- y (/ -1/9 x)) 3) (sqrt x))) (/.f64 (fma.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x))
	57.1%	#s(approx (+ (* (sqrt x) -3) (* (* (- y (/ -1/9 x)) 3) (sqrt x))) (.f64 (.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	64.5%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
✓	64.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
✓	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓	36.1%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
	35.7%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
✓	29.4%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
	57.6%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) x))) x))
	29.3%	#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ ( (+ (* y 3) -3) (sqrt (/ 1 x))) (* (sqrt (/ 1 (* (* x x) x))) 1/3)) #s(approx (* (+ (* y 3) -3) (* (/ 1 x) (sqrt x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))

Compiler

Compiled 1 204 to 430 computations (64.3% saved)

regimes66.0ms (0.7%)

Memory

-16.1MiB live, 99.6MiB allocated

Counts

66 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

23.0ms	x
20.0ms	(.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)))
19.0ms	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)

regimes48.0ms (0.5%)

Memory

-4.3MiB live, 70.9MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
13.0ms	x
12.0ms	(.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
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)

regimes44.0ms (0.5%)

Memory

22.4MiB live, 107.1MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
14.0ms	x
12.0ms	(.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
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)

regimes31.0ms (0.3%)

Memory

12.1MiB live, 90.8MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(.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)))
10.0ms	y
9.0ms	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)

regimes27.0ms (0.3%)

Memory

-34.1MiB live, 55.2MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	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)))
7.0ms	y

Results

Accuracy	Segments	Branch
86.2%	2	`x`
88.7%	3	`y`
93.2%	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)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 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)))

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)

regimes6.0ms (0.1%)

Memory

-21.9MiB live, 17.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 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)))

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)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

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
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)

regimes11.0ms (0.1%)

Memory

-17.8MiB live, 21.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
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	y

Results

Accuracy	Segments	Branch
63.0%	1	`x`
63.0%	1	`y`
63.0%	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

18.5MiB live, 18.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

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
55.8%	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)))`
44.4%	2	`x`
62.4%	3	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
62.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-28.9MiB live, 10.5MiB 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 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))

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

Calls

3 calls:

2.0ms	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
29.4%	1	`x`
29.4%	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)))`
29.4%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.947407789286162e+152	1.3681329493048795e+159
0.0ms	-1082348.501513822	-401.692987034264

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.947407789286162e+152	1.3681329493048795e+159
0.0ms	-401.692987034264	1.652142417056612

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.947407789286162e+152	1.3681329493048795e+159
0.0ms	-401.692987034264	1.652142417056612

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	5.947407789286162e+152	1.3681329493048795e+159
0.0ms	-401.692987034264	1.652142417056612

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch36.0ms (0.4%)

Memory

18.2MiB live, 58.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.025051485161985236	1587564471328.43
14.0ms	-2.3732455565245452e+30	-6.252156178169122e+22

Samples

21.0ms

304×

valid

Compiler

Compiled 380 to 264 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 5.0ms (34.8% of total)

ival-sub: 3.0ms (20.9% of total)

ival-div: 2.0ms (13.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

ival-add: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.025051485161985236	1587564471328.43
1.0ms	-2.3732455565245452e+30	-6.252156178169122e+22

Compiler

Compiled 380 to 264 computations (30.5% saved)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.025051485161985236	1587564471328.43
1.0ms	-2.3732455565245452e+30	-6.252156178169122e+22

Compiler

Compiled 380 to 264 computations (30.5% saved)

simplify15.0ms (0.2%)

Memory

-21.3MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`unsub-neg_binary64`
9×	`neg-mul-1_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	739
1	122	739
2	135	739
3	147	739
4	163	739
5	188	739
6	191	739

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #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 -1000000 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #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 -400 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #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 -400 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (+ ( (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #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 -400 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (fma.f64 y #s(literal 3 binary64) #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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (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 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))

Outputs
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
#s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #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 -1000000 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1000000 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #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 -400 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -400 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 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 (.f64 y #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 -400 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (+ ( (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -400 binary64)) (.f64 (.f64 #s(approx (- (+ y (/ 1 ( x 9))) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (+ ( (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #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 -400 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (fma.f64 y #s(literal 3 binary64) #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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -400 binary64)) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) (if (<=.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (+ (* (/ 1/9 x) (* (sqrt x) 3)) (* (- y 1) (* (sqrt x) 3))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y (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 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -64000000000000000000000 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 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))))
(if (<=.f64 y #s(literal -64000000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx ( (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))

soundness1.8s (19.6%)

Memory

35.9MiB live, 1 124.7MiB allocated

Rules

9 689×	`lower-fma.f64`
9 689×	`lower-fma.f32`
7 855×	`lower-fma.f64`
7 855×	`lower-fma.f32`
7 353×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	281
0	77	270
1	286	236
2	2318	236
0	9003	230
0	41	228
0	68	211
1	262	185
2	2054	184
0	8375	181
0	56	322
0	73	300
1	270	255
2	2124	255
0	9346	252
0	72	570
1	195	543
2	610	543
3	2210	541
4	6078	541
0	8442	509
0	198	4786
1	605	4454
2	2122	4436
3	4137	4436
0	8140	4070
0	202	4540
1	605	4295
2	1994	4287
3	4508	4287
0	8133	3978
0	165	3977
1	488	3717
2	1624	3713
3	3713	3706
0	8330	3469
0	12	32
0	19	32
1	66	26
2	521	26
3	6476	26
0	8295	25

Stop Event

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

Compiler

Compiled 1 105 to 520 computations (52.9% saved)

preprocess113.0ms (1.2%)

Memory: 25.0MiB live, 143.7MiB allocated
Compiler: Compiled 818 to 182 computations (77.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.1%)

sample1.1s (11.4%)

explain190.0ms (2%)

preprocess253.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify180.0ms (1.9%)

localize72.0ms (0.8%)

series10.0ms (0.1%)

simplify149.0ms (1.6%)

rewrite216.0ms (2.3%)

eval70.0ms (0.7%)

prune84.0ms (0.9%)

simplify225.0ms (2.4%)

localize217.0ms (2.3%)

series37.0ms (0.4%)

simplify190.0ms (2%)

rewrite362.0ms (3.9%)

eval334.0ms (3.6%)

prune371.0ms (4%)

simplify338.0ms (3.6%)

localize455.0ms (4.9%)

series115.0ms (1.2%)

simplify216.0ms (2.3%)

rewrite252.0ms (2.7%)

eval123.0ms (1.3%)

prune201.0ms (2.2%)

simplify219.0ms (2.3%)

localize306.0ms (3.3%)

series60.0ms (0.6%)

simplify237.0ms (2.5%)

rewrite232.0ms (2.5%)

eval111.0ms (1.2%)

prune164.0ms (1.8%)

regimes66.0ms (0.7%)

regimes48.0ms (0.5%)

regimes44.0ms (0.5%)

regimes31.0ms (0.3%)

regimes27.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify15.0ms (0.2%)

soundness1.8s (19.6%)

preprocess113.0ms (1.2%)

end0.0ms (0%)

Profiling