Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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
100%	50%	0%	0.1%	0%	50%	0%	2

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.4s (14.3%)

Memory

12.3MiB live, 1 627.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 796.0ms

ival-div: 340.0ms (42.7% of total)

ival-mult: 214.0ms (26.9% of total)

ival-sub: 119.0ms (14.9% of total)

ival-sqrt: 105.0ms (13.2% of total)

exact: 10.0ms (1.3% of total)

ival-true: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess195.0ms (2%)

Memory

-12.0MiB live, 147.8MiB allocated

Algorithm

1×	egg-herbie

Rules

736×	`lower-fma.f64`
736×	`lower-fma.f32`
560×	`times-frac`
400×	`lower-*.f32`
396×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	80	64
2	237	62
3	650	62
4	1488	62
5	2867	62
6	3479	62
7	3590	62
8	3622	62
9	3626	62
10	3626	62
11	3630	62
0	12	14
0	19	14
1	33	12
2	71	12
3	147	12
4	270	12
5	507	12
6	1005	12
7	1271	12
8	1362	12
9	1376	12
10	1379	12
0	1379	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain135.0ms (1.4%)

Memory

-44.1MiB live, 315.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

46.0ms

512×

valid

Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (45.7% of total)

ival-div: 6.0ms (21.1% of total)

ival-sub: 4.0ms (14.1% of total)

ival-sqrt: 4.0ms (14.1% of total)

exact: 1.0ms (3.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify52.0ms (0.5%)

Memory

-15.2MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

736×	`lower-fma.f64`
736×	`lower-fma.f32`
400×	`lower-*.f32`
396×	`lower-*.f64`
186×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	19	46
1	33	40
2	71	40
3	147	40
4	270	40
5	507	40
6	1005	40
7	1271	40
8	1362	40
9	1376	40
10	1379	40
0	1379	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.3%)

Memory

7.5MiB live, 89.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-mult: 4.0ms (34.7% of total)

ival-div: 3.0ms (26.1% of total)

ival-sub: 2.0ms (17.4% of total)

ival-sqrt: 2.0ms (17.4% 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

21.7MiB live, 21.7MiB allocated

Counts

6 → 96

Calls

Call 1

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

Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>

Calls

24 calls:

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

simplify231.0ms (2.3%)

Memory

-2.7MiB live, 391.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 662×	`lower-fma.f64`
7 662×	`lower-fma.f32`
2 338×	`lower-*.f64`
2 338×	`lower-*.f32`
1 352×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

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

rewrite314.0ms (3.2%)

Memory

-16.4MiB live, 614.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 268×	`lower-fma.f64`
8 268×	`lower-fma.f32`
5 066×	`lower-*.f32`
5 062×	`lower-*.f64`
4 670×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	19	39
1	74	33
2	789	33
0	8366	32

Stop Event

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

Counts

6 → 428

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.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 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (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))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.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 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
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(.f64 (sqrt.f64 x) (.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -9 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) #s(literal -3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 #s(literal -9 binary64) (neg.f64 x))
(*.f64 #s(literal -9 binary64) (/.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -9 binary64))
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (.f64 y #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 y #s(literal -1/3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)))

eval81.0ms (0.8%)

Memory: 5.7MiB live, 127.2MiB allocated
Compiler: Compiled 16 283 to 1 294 computations (92.1% saved)

prune96.0ms (1%)

Memory

2.4MiB live, 124.2MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	511	13	524
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	511	14	525

Accuracy

100.0%

Counts

525 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
	99.7%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	72.3%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
▶	99.7%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	82.0%	(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (.f64 x (*.f64 x #s(literal 81 binary64))))))
	71.7%	(-.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	71.8%	(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	72.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
▶	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
▶	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	40.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))

Compiler

Compiled 688 to 338 computations (50.9% saved)

simplify325.0ms (3.3%)

Memory

18.9MiB live, 330.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))
✓	cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓	cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Rules

5 552×	`lower-fma.f32`
5 544×	`lower-fma.f64`
2 736×	`lower-*.f32`
2 724×	`lower-*.f64`
1 952×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	287
0	71	285
1	128	273
2	257	268
3	556	248
4	1342	248
5	3033	248
6	4537	248
7	5756	248
8	6042	248
9	6149	248
10	6180	248
11	6180	248
12	6430	248
13	6466	248
14	6466	248
15	7091	248
0	8088	246

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(literal -1/3 binary64)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))
(/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))
#s(literal 1 binary64)
(.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -729 binary64)))
(*.f64 x #s(literal -9 binary64))
x
#s(literal -9 binary64)
(.f64 x (.f64 x #s(literal 81 binary64)))
(*.f64 x #s(literal 81 binary64))
#s(literal 81 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

localize174.0ms (1.8%)

Memory

2.0MiB live, 235.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))
✓	accuracy	71.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.7%	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/3 binary64))
✓	accuracy	93.7%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓	accuracy	67.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	62.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)

Samples

101.0ms

256×

valid

Compiler

Compiled 280 to 44 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 17.0ms (22% of total)

ival-sub: 17.0ms (22% of total)

ival-mult: 15.0ms (19.4% of total)

ival-div: 14.0ms (18.1% of total)

const: 10.0ms (13% of total)

ival-sqrt: 4.0ms (5.2% of total)

exact: 1.0ms (1.3% of total)

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

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

series45.0ms (0.5%)

Memory

-9.1MiB live, 32.7MiB allocated

Counts

21 → 372

Calls

Call 1

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

Outputs
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (/ -1/729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (* -729 (pow x 3))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* 1/9 x)) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ 1/9 x))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ 1/9 x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))>
#<alt (+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))>
#<alt (+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>

Calls

93 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	(- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x))))
3.0ms	x	@	0	(- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x))))
2.0ms	y	@	0	(- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x))))
1.0ms	y	@	-inf	(+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ -1/9 x)))
1.0ms	x	@	-inf	(/ (+ (* (sqrt x) (* y -1/3)) -1/9) x)

simplify396.0ms (4%)

Memory

37.0MiB live, 425.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 700×	`lower-fma.f64`
8 700×	`lower-fma.f32`
4 996×	`lower-*.f64`
4 996×	`lower-*.f32`
3 060×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	3302
1	396	3302
2	1155	3250
3	3537	3230
0	8310	3064

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -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)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
-1/9
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(/ -1/729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(* -729 (pow x 3))
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* 1/9 x)) (pow x 2))
(/ (+ 1/81 (* x (+ 1/9 x))) (pow x 2))
(/ (+ 1/81 (* x (+ 1/9 x))) (pow x 2))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))
(+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))
(+ 1 (+ (/ 1/81 (pow x 2)) (* 1/9 (/ 1 x))))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)

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

rewrite430.0ms (4.3%)

Memory

-2.1MiB live, 468.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 964×	`lower-/.f32`
3 948×	`lower-/.f64`
2 988×	`lower-fma.f32`
2 980×	`lower-fma.f64`
2 760×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	210
0	71	175
1	312	165
2	3246	157
0	8919	153

Stop Event

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

Counts

21 → 972

Calls

Call 1

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

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

eval368.0ms (3.7%)

Memory: -8.4MiB live, 344.9MiB allocated
Compiler: Compiled 45 060 to 2 828 computations (93.7% saved)

prune217.0ms (2.2%)

Memory

18.3MiB live, 379.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 645	15	1 660
Fresh	6	2	8
Picked	4	1	5
Done	1	0	1
Total	1 656	18	1 674

Accuracy

100.0%

Counts

1 674 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
▶	99.7%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	72.0%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
	71.7%	(-.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	72.0%	(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	71.9%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)))
	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y)))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
	49.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
	44.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
	34.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x)))) x))
	28.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 596 to 296 computations (50.3% saved)

simplify381.0ms (3.8%)

Memory

8.8MiB live, 368.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	0	#s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	0	#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Rules

9 272×	`lower-fma.f32`
9 266×	`lower-fma.f64`
4 576×	`lower-*.f32`
4 572×	`lower-*.f64`
3 152×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	233
0	67	232
1	121	224
2	244	218
3	538	205
4	1317	205
5	2739	205
6	3588	205
7	4540	205
8	5593	205
9	6070	205
10	6264	205
11	6320	205
12	6356	205
13	6356	205
14	6452	205
15	6492	205
16	6492	205
0	8498	201

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.2%)

Memory

-0.7MiB live, 194.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
✓	accuracy	99.4%	(*.f64 #s(literal -1/3 binary64) y)
✓	accuracy	72.1%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	49.6%	#s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
✓	accuracy	51.4%	#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
✓	accuracy	62.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓	accuracy	49.6%	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	99.4%	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))

Samples

76.0ms

256×

valid

Compiler

Compiled 210 to 44 computations (79% saved)

Precisions

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

ival-mult: 18.0ms (31.5% of total)

ival-div: 14.0ms (24.5% of total)

const: 9.0ms (15.7% of total)

ival-add: 7.0ms (12.2% of total)

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

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

exact: 1.0ms (1.7% of total)

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

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

series11.0ms (0.1%)

Memory

-20.2MiB live, 17.4MiB allocated

Counts

18 → 312

Calls

Call 1

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

Outputs
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>

Calls

78 calls:

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

simplify374.0ms (3.8%)

Memory

6.3MiB live, 449.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 780×	`lower-fma.f64`
7 780×	`lower-fma.f32`
4 530×	`lower-*.f64`
4 530×	`lower-*.f32`
3 178×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	3137
1	297	3105
2	832	3021
3	2681	2981
4	7625	2981
0	8129	2836

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(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)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
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(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ -1/9 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 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)

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

rewrite300.0ms (3%)

Memory

-25.7MiB live, 443.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 764×	`lower-/.f32`
3 756×	`lower-/.f64`
3 668×	`lower-fma.f32`
3 662×	`lower-fma.f64`
2 524×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	211
0	67	189
1	310	180
2	3162	143
0	8780	138

Stop Event

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

Counts

18 → 500

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (.f64 y (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
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(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 y #s(literal 1/3 binary64))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(pow.f64 x #s(literal -1/2 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 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -9 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(*.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 -1/9 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 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/3 binary64) y)
(*.f64 y #s(literal -1/3 binary64))

eval145.0ms (1.5%)

Memory: 14.2MiB live, 243.7MiB allocated
Compiler: Compiled 17 286 to 1 356 computations (92.2% saved)

prune90.0ms (0.9%)

Memory

-14.1MiB live, 267.2MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	863	3	866
Fresh	0	12	12
Picked	2	3	5
Done	0	1	1
Total	865	19	884

Accuracy

100.0%

Counts

884 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
▶	72.0%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
	72.0%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
	71.7%	(-.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.9%	(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	72.0%	(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	93.7%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x))
▶	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y)))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
	49.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
	44.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
	34.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x)))) x))
▶	28.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
▶	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 591 to 291 computations (50.8% saved)

simplify377.0ms (3.8%)

Memory

-1.1MiB live, 359.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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)) (.f64 #s(literal -1/3 binary64) y))
✓	cost-diff	0	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y)))
✓	cost-diff	0	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓	cost-diff	0	#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
✓	cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x)
✓	cost-diff	0	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x))

Rules

4 872×	`lower-fma.f32`
4 868×	`lower-fma.f64`
3 544×	`lower-*.f32`
3 536×	`lower-*.f64`
2 832×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	261
0	73	261
1	131	247
2	251	243
3	493	235
4	1044	235
5	2450	235
6	3388	235
7	4535	235
8	5727	235
9	6345	235
10	6787	235
11	6879	235
12	6920	235
13	6925	235
14	7068	235
15	7124	235
16	7124	235
0	8321	228

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.4%)

Memory

1.5MiB live, 314.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
✓	accuracy	99.4%	(*.f64 #s(literal -1/3 binary64) y)
✓	accuracy	40.6%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓	accuracy	49.6%	#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	62.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	accuracy	93.7%	(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
✓	accuracy	67.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
✓	accuracy	47.8%	#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/9 binary64))
✓	accuracy	99.8%	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64)))
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	93.8%	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x)

Samples

90.0ms

256×

valid

Compiler

Compiled 216 to 51 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 22.0ms (31.6% of total)

ival-div: 21.0ms (30.2% of total)

ival-add: 9.0ms (12.9% of total)

const: 9.0ms (12.9% of total)

ival-sqrt: 5.0ms (7.2% of total)

ival-sub: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series10.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

21 → 384

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))>
#<alt (- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))>
#<alt (/ (- x 1/9) x)>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9)>
#<alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9)>
#<alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9)>
#<alt (* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))>
#<alt (* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))>
#<alt (* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))>
#<alt (- x 1/9)>
#<alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9)>
#<alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9)>
#<alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt -1/9>
#<alt (- x 1/9)>
#<alt (- x 1/9)>
#<alt (- x 1/9)>
#<alt x>
#<alt (* x (- 1 (* 1/9 (/ 1 x))))>
#<alt (* x (- 1 (* 1/9 (/ 1 x))))>
#<alt (* x (- 1 (* 1/9 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>

Calls

96 calls:

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

simplify652.0ms (6.6%)

Memory

-4.5MiB live, 683.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 446×	`lower-fma.f64`
10 446×	`lower-fma.f32`
4 610×	`lower-*.f64`
4 610×	`lower-*.f32`
2 114×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	3837
1	430	3771
2	1340	3663
3	4281	3663
0	8047	3448

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

Calls

Call 1

Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(/ (- x 1/9) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* -1/3 (* (sqrt x) y))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
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(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
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(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
-1/9
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(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
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(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
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(/ -1/9 x)
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(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
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(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
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(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
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(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
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(* -9 x)
(* -9 x)
(* -9 x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
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(* -1/3 (sqrt (/ 1 x)))
(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)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
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1
(- 1 (* 1/9 (/ 1 x)))
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(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
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(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
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(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
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(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
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(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
-1/9
(- x 1/9)
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x
(* x (- 1 (* 1/9 (/ 1 x))))
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x
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
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(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)

Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
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(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
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(- (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) x))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) (fma.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1/729 binary64) (.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) x)))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) (fma.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1/729 binary64) (.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) x)))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (* 1/729 (/ 1 (* (pow x 3) (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))) (fma.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1/729 binary64) (.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x))))) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/729 (* (pow x 3) (* y (+ 1 (* 1/9 (/ (+ 1 (* 1/9 (/ 1 x))) x)))))))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 (.f64 x (*.f64 x x)) (fma.f64 y (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) x)) x))))
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(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))

rewrite331.0ms (3.3%)

Memory

-12.8MiB live, 381.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 726×	`lower-/.f32`
3 716×	`lower-/.f64`
2 954×	`lower-fma.f32`
2 950×	`lower-fma.f64`
2 758×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	242
0	73	242
1	342	223
2	3204	187
0	9057	180

Stop Event

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

Counts

21 → 435

Calls

Call 1

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

Outputs
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64)))) (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)) x) (/.f64 (/.f64 (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) (neg.f64 x)))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64)))) (.f64 x (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))) (/.f64 (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 x (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))))
(neg.f64 (/.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))))
(/.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) (neg.f64 x))
(/.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) (.f64 x (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) (.f64 x (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)))
(/.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))))) x))
(/.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x) x))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y))))) (neg.f64 (.f64 x (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64))))) (neg.f64 (.f64 x (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))))
(/.f64 (.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))))) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) #s(literal -1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)))
(pow.f64 (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) x))
(.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 x (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (.f64 (.f64 #s(literal -1/27 binary64) (.f64 x (sqrt.f64 x))) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1/9 binary64)) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64)))))))
(.f64 (pow.f64 (/.f64 x (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)))
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))
(+.f64 #s(literal -1/9 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x))
(+.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) x)
(+.f64 (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1/9 binary64)))
(+.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) #s(literal -1/9 binary64))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64)))) (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)) (/.f64 (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x)))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/9 binary64))) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) (/.f64 (.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64)))) (-.f64 (+.f64 x #s(literal -1/9 binary64)) (.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))))
(-.f64 (/.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x)) (-.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (-.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) #s(literal -1/9 binary64))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))
(fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 x #s(literal -1/9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal -1/9 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) (+.f64 x #s(literal -1/9 binary64)))
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(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(pow.f64 x #s(literal -1/2 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(exp.f64 (neg.f64 (log.f64 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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(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))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 x #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/9 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/9 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (.f64 x #s(literal -1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/81 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (.f64 x #s(literal -1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/729 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/81 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1/729 binary64)) (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (.f64 x #s(literal -1/9 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 x x) (*.f64 x #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/81 binary64)) (+.f64 x #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/729 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (.f64 x #s(literal -1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 x x) (*.f64 x #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/81 binary64))) (neg.f64 (+.f64 x #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal -1/9 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (.f64 x #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/81 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1/9 binary64) x)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (.f64 x #s(literal -1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/729 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/81 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/81 binary64)) (*.f64 x #s(literal -1/9 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/9 binary64))))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)

eval184.0ms (1.9%)

Memory: -14.0MiB live, 229.4MiB allocated
Compiler: Compiled 12 942 to 1 186 computations (90.8% saved)

prune131.0ms (1.3%)

Memory

5.8MiB live, 205.7MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	829	11	840
Fresh	4	6	10
Picked	1	4	5
Done	2	2	4
Total	836	23	859

Accuracy

100.0%

Counts

859 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.0%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
	71.7%	(-.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
	61.8%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) (+ x -1/9)) (+.f64 x #s(literal -1/9 binary64))) x))
	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
	34.0%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
✓	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y)))
	40.4%	#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
	60.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
	49.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
	44.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
	34.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x)))) x))
✓	28.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
	28.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
✓	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	61.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	28.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
✓	34.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Compiler

Compiled 922 to 298 computations (67.7% saved)

regimes46.0ms (0.5%)

Memory

31.2MiB live, 69.4MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) (+ x -1/9)) (+.f64 x #s(literal -1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ ( (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x)))) x))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)))
#s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (.f64 x (*.f64 x #s(literal 81 binary64))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64))))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
(-.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

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

Calls

3 calls:

20.0ms	y
12.0ms	x
12.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes40.0ms (0.4%)

Memory

-28.5MiB live, 52.0MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	x
14.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
9.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.7%	3	`y`
97.4%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-20.9MiB live, 18.7MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

8.0ms	x
8.0ms	y
7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
86.6%	3	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
97.8%	3	`y`
81.6%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes37.0ms (0.4%)

Memory

-28.2MiB live, 11.2MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory

-29.7MiB live, 10.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-8.6MiB live, 31.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.8%	1	`x`
61.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
61.8%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.8%	1	`x`
61.8%	1	`y`
61.8%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

-25.9MiB live, 13.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
2.0ms	y

Results

Accuracy	Segments	Branch
60.9%	2	`x`
38.2%	3	`y`
61.4%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
34.0%	1	`y`
34.0%	1	`x`
34.0%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2292218172404542.0	30811597981932804.0

Samples

6.0ms

96×

valid

Compiler

Compiled 175 to 125 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (24.8% of total)

ival-sub: 1.0ms (24.8% of total)

ival-mult: 1.0ms (24.8% of total)

ival-sqrt: 1.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-13.1MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.10579366428927711	8.791270055636817

Samples

8.0ms

112×

valid

Compiler

Compiled 187 to 136 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (52.3% of total)

ival-div: 1.0ms (17.4% of total)

ival-sub: 1.0ms (17.4% of total)

ival-sqrt: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10579366428927711	8.791270055636817

Compiler

Compiled 187 to 136 computations (27.3% saved)

bsearch46.0ms (0.5%)

Memory

11.6MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7060620922973264e+25	1.4613402567055581e+29
29.0ms	-2.917983468699087e+90	-9.641085063160566e+72

Samples

18.0ms

288×

valid

Compiler

Compiled 423 to 313 computations (26% saved)

Precisions

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

ival-div: 4.0ms (33.4% of total)

ival-mult: 3.0ms (25.1% of total)

ival-sub: 2.0ms (16.7% of total)

ival-sqrt: 2.0ms (16.7% 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

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7060620922973264e+25	1.4613402567055581e+29
1.0ms	-2.917983468699087e+90	-9.641085063160566e+72

Compiler

Compiled 415 to 305 computations (26.5% saved)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7060620922973264e+25	1.4613402567055581e+29
1.0ms	-2.917983468699087e+90	-9.641085063160566e+72

Compiler

Compiled 415 to 305 computations (26.5% saved)

bsearch48.0ms (0.5%)

Memory

-30.3MiB live, 20.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0226235316205034e+50	8.871716052441813e+50
36.0ms	-2.917983468699087e+90	-9.641085063160566e+72

Samples

12.0ms

192×

valid

Compiler

Compiled 355 to 257 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 2.0ms (25.6% of total)

ival-mult: 2.0ms (25.6% of total)

ival-sub: 1.0ms (12.8% of total)

ival-sqrt: 1.0ms (12.8% 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

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0226235316205034e+50	8.871716052441813e+50
1.0ms	-2.917983468699087e+90	-9.641085063160566e+72

Compiler

Compiled 355 to 257 computations (27.6% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0226235316205034e+50	8.871716052441813e+50
1.0ms	-2.917983468699087e+90	-9.641085063160566e+72

Compiler

Compiled 355 to 257 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05026243166409494	0.9950771911452618

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify21.0ms (0.2%)

Memory

-16.0MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`neg-mul-1_binary64`
48×	`*-commutative_binary64`
42×	`unsub-neg_binary64`
32×	`+-commutative_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	779
1	128	779
2	144	779
3	168	779
4	188	779
5	230	779
6	292	779
7	298	779

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 2500000000000000 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 2500000000000000 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1/9 binary64))) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2500000000000000 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal -1/9 binary64))) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 126000000000000002223987752960 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -419999999999999977181398315417054925583507812089589525261326465221716344832 binary64)) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))) (if (<=.f64 y #s(literal 859999999999999941000896028554365143604786848858112 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (/ (+ (/ 1 (* (* x -9) (* x (* x 81)))) 1) (+ (* (/ 1/9 x) (+ 1 (/ 1/9 x))) 1)) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))

soundness1.6s (16.6%)

Memory

33.2MiB live, 1 014.6MiB allocated

Rules

8 700×	`lower-fma.f64`
8 700×	`lower-fma.f32`
8 268×	`lower-fma.f64`
8 268×	`lower-fma.f32`
7 780×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638
0	105	3137
1	297	3105
2	832	3021
3	2681	2981
4	7625	2981
0	8129	2836
0	43	210
0	71	175
1	312	165
2	3246	157
0	8919	153
0	55	242
0	73	242
1	342	223
2	3204	187
0	9057	180
0	140	3302
1	396	3302
2	1155	3250
3	3537	3230
0	8310	3064
0	12	39
0	19	39
1	74	33
2	789	33
0	8366	32

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

Compiler

Compiled 928 to 488 computations (47.4% saved)

preprocess81.0ms (0.8%)

Memory: -1.5MiB live, 194.0MiB allocated
Compiler: Compiled 684 to 188 computations (72.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.4s (14.3%)

preprocess195.0ms (2%)

explain135.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.5%)

localize35.0ms (0.3%)

series10.0ms (0.1%)

simplify231.0ms (2.3%)

rewrite314.0ms (3.2%)

eval81.0ms (0.8%)

prune96.0ms (1%)

simplify325.0ms (3.3%)

localize174.0ms (1.8%)

series45.0ms (0.5%)

simplify396.0ms (4%)

rewrite430.0ms (4.3%)

eval368.0ms (3.7%)

prune217.0ms (2.2%)

simplify381.0ms (3.8%)

localize116.0ms (1.2%)

series11.0ms (0.1%)

simplify374.0ms (3.8%)

rewrite300.0ms (3%)

eval145.0ms (1.5%)

prune90.0ms (0.9%)

simplify377.0ms (3.8%)

localize138.0ms (1.4%)

series10.0ms (0.1%)

simplify652.0ms (6.6%)

rewrite331.0ms (3.3%)

eval184.0ms (1.9%)

prune131.0ms (1.3%)

regimes46.0ms (0.5%)

regimes40.0ms (0.4%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

regimes24.0ms (0.2%)

regimes37.0ms (0.4%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes29.0ms (0.3%)

regimes6.0ms (0.1%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch11.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch46.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch48.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.2%)

soundness1.6s (16.6%)

preprocess81.0ms (0.8%)

end0.0ms (0%)

Profiling