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

analyze19.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 4.0ms (41.1% of total)

ival-mult: 3.0ms (30.8% of total)

ival-div: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.5s (9.3%)

Results

1.0s	8256×	0	valid
20.0ms	257×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 583.0ms

ival-mult: 214.0ms (36.7% of total)

ival-div: 110.0ms (18.9% of total)

ival-add: 102.0ms (17.5% of total)

ival-sqrt: 79.0ms (13.6% of total)

ival-sub: 52.0ms (8.9% of total)

const: 22.0ms (3.8% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess487.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

3216×	`accelerator-lowering-fma.f32`
3216×	`accelerator-lowering-fma.f64`
1344×	`-lowering-.f32`
1344×	`-lowering-.f64`
980×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	93	76
2	340	74
3	1386	74
4	3856	74
5	6388	74
0	12	14
1	27	12
2	68	12
3	181	12
4	319	12
5	422	12
6	838	12
7	1693	12
8	2614	12
9	3347	12
10	3533	12
11	3563	12
12	3564	12
13	3564	12
14	3766	12
15	4011	12
16	4505	12
17	4505	12
18	4505	12
0	4505	11

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* (* 3 (sqrt x)) (+ y (+ (/ 1/9 x) -1)))
(* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1))
(* (* 3 (sqrt (neg x))) (+ (+ y (/ -1/9 x)) -1))
(* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1))
(* (* 3 (sqrt x)) (+ (/ 1/9 x) (- -1 y)))
(neg (* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1)))
(* (* 3 (sqrt (neg x))) (+ 1 (- (/ 1/9 x) y)))
(neg (* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1)))
(* (sqrt x) (- 3 (* 3 (- (/ 1/9 x) y))))
(* (* 3 (sqrt y)) (- (+ x (/ 1 (* y 9))) 1))
(* (sqrt y) (+ (* 3 (+ x -1)) (/ 1/3 y)))

explain162.0ms (1%)

FPErrors

Click to see full error table

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

Results

100.0ms	510×	0	valid
2.0ms	2×	1	valid

Compiler

Compiled 120 to 87 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 31.0ms (46.7% of total)

ival-div: 15.0ms (22.6% of total)

ival-add: 8.0ms (12.1% of total)

ival-sub: 5.0ms (7.5% of total)

const: 4.0ms (6% of total)

ival-sqrt: 4.0ms (6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶	99.0%	(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))

Status

Accuracy

Program

▶

99.4%

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

▶

99.0%

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

Compiler

Compiled 30 to 24 computations (20% saved)

localize438.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	128	(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	128	(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	100.0%	(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.1%	(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))

Rules

3216×	`accelerator-lowering-fma.f32`
3216×	`accelerator-lowering-fma.f64`
1344×	`-lowering-.f32`
1344×	`-lowering-.f64`
546×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	46	75
2	112	75
3	257	75
4	391	75
5	499	75
6	921	75
7	1769	75
8	2692	75
9	3426	75
10	3611	75
11	3641	75
12	3642	75
13	3642	75
14	3844	75
15	4089	75
16	4564	75
17	4564	75
18	4564	75
0	4564	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

74.0ms	216×	0	valid
16.0ms	23×	1	valid
19.0ms	17×	2	valid

Compiler

Compiled 91 to 63 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 29.0ms (38% of total)

ival-add: 15.0ms (19.7% of total)

ival-div: 14.0ms (18.3% of total)

backward-pass: 6.0ms (7.9% of total)

ival-sqrt: 5.0ms (6.6% of total)

const: 4.0ms (5.2% of total)

ival-sub: 3.0ms (3.9% of total)

series25.0ms (0.2%)

Counts

10 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
2.0ms	x	@	-inf	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms	x	@	-inf	(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
1.0ms	x	@	0	(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
1.0ms	y	@	-inf	(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))

rewrite603.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5200×	`-lowering-.f32`
5200×	`-lowering-.f64`
4654×	`/-lowering-/.f32`
4654×	`/-lowering-/.f64`
3544×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	110	62
2	1088	62
0	8452	59

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 437

Calls

Call 1

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

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

simplify459.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

9308×	`accelerator-lowering-fma.f32`
9308×	`accelerator-lowering-fma.f64`
5294×	`-lowering-.f32`
5294×	`-lowering-.f64`
1550×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1350
1	371	1350
2	1145	1296
3	3900	1296
0	8521	1200

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval231.0ms (1.5%)

Compiler: Compiled 16699 to 11041 computations (33.9% saved)

prune110.0ms (0.7%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	606	30	636
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	607	31	638

Accuracy

100.0%

Counts

638 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) #s(literal -9 binary64)) (sqrt.f64 x)) x) (.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) (.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) x))
	67.1%	(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
	58.0%	(/.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	39.0%	(/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 x)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))))
	58.3%	(/.f64 (.f64 (+.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))))
	98.8%	(.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
	60.8%	(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
	99.4%	(.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	99.3%	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
	99.1%	(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶	38.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
▶	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	61.3%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 y y) (*.f64 #s(literal 1/81 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 1 binary64)))
	61.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
	61.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (.f64 (+.f64 (.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))))))
	42.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
	99.0%	(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	63.8%	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) (.f64 x #s(literal 3 binary64)))))
▶	63.8%	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) x) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) x)))
▶	57.5%	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (*.f64 x #s(literal 3 binary64)))))
	76.3%	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) #s(literal -9 binary64)))) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) #s(literal -9 binary64))))))
	76.3%	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) #s(literal -9 binary64))) #s(literal 1/3 binary64))) (.f64 (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) #s(literal -9 binary64))) x)))
	38.9%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
	57.7%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
	99.1%	(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
	79.1%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
	61.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
	42.2%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
	67.2%	(.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
▶	38.9%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1360 to 1047 computations (23% saved)

localize1.6s (10%)

Algorithm

1×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))
✓	cost-diff	384	(+.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	640	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (.f64 x #s(literal 3 binary64))))
✓	cost-diff	640	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (*.f64 x #s(literal 3 binary64)))))
✓	cost-diff	256	(.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
✓	cost-diff	256	(+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) x) (.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) x) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) x))
✓	cost-diff	256	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) x) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) x)))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
✓	cost-diff	128	(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓	cost-diff	128	(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	accuracy	96.0%	(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	93.5%	(.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	87.4%	(+.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64)))
✓	accuracy	63.3%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 9 binary64) (.f64 y #s(literal -9 binary64)))) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.4%	(.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) x)
✓	accuracy	99.1%	(.f64 (sqrt.f64 x) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) x) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) x)))
✓	accuracy	93.7%	(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (*.f64 y y))) x)
✓	accuracy	72.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) (.f64 y y))) x) (.f64 (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))) (.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))

Rules

12196×	`accelerator-lowering-fma.f32`
12196×	`accelerator-lowering-fma.f64`
5450×	`-lowering-.f32`
5450×	`-lowering-.f64`
1654×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	372
1	119	360
2	369	332
3	1278	314
4	5408	314
0	8419	276

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* 3 (sqrt x)) (- (+ y (/ (/ 1 x) 9)) 1))
(* 3 (sqrt x))
3
(sqrt x)
x
(- (+ y (/ (/ 1 x) 9)) 1)
(+ y (/ (/ 1 x) 9))
y
(/ (/ 1 x) 9)
(/ 1 x)
1
9
(* 1/3 (sqrt (/ 1 x)))
1/3
(sqrt (/ 1 x))
(* (* 3 (sqrt x)) (/ 1/9 x))
(/ 1/9 x)
1/9
(* (sqrt x) (/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x)))
(/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x))
(+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3))
(* (- 9 (* 9 (* y y))) x)
(- 9 (* 9 (* y y)))
(* 9 (* y y))
(* y y)
(* (- -3 (* 3 y)) 1/3)
(- -3 (* 3 y))
-3
(* 3 y)
(* (- -3 (* 3 y)) x)
(* (sqrt x) (/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))))
(/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3)))
(+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1))
(* (+ (* (* y (* y y)) 27) -27) (* x 3))
(+ (* (* y (* y y)) 27) -27)
(* (* y (* y y)) 27)
(* y (* y y))
27
-27
(* x 3)
(* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)
(+ (* 9 (* y y)) (- 9 (* y -9)))
(- 9 (* y -9))
(* y -9)
-9
(* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))

Outputs
(* (* 3 (sqrt x)) (- (+ y (/ (/ 1 x) 9)) 1))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (+ y (/ (/ 1 x) 9)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+ y (/ (/ 1 x) 9))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/ (/ 1 x) 9)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
9
#s(literal 9 binary64)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
1/3
#s(literal 1/3 binary64)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (* 3 (sqrt x)) (/ 1/9 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
(* (sqrt x) (/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x)))
(.f64 (+.f64 (.f64 x (-.f64 #s(literal 9 binary64) (.f64 y (.f64 y #s(literal 9 binary64))))) (-.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 (sqrt.f64 x) x) (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))))
(/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x))
(/.f64 (+.f64 (.f64 x (-.f64 #s(literal 9 binary64) (.f64 y (.f64 y #s(literal 9 binary64))))) (-.f64 #s(literal -1 binary64) y)) (.f64 x (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))))
(+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3))
(+.f64 (.f64 x (-.f64 #s(literal 9 binary64) (.f64 y (*.f64 y #s(literal 9 binary64))))) (-.f64 #s(literal -1 binary64) y))
(* (- 9 (* 9 (* y y))) x)
(.f64 x (-.f64 #s(literal 9 binary64) (.f64 y (*.f64 y #s(literal 9 binary64)))))
(- 9 (* 9 (* y y)))
(-.f64 #s(literal 9 binary64) (.f64 y (.f64 y #s(literal 9 binary64))))
(* 9 (* y y))
(.f64 y (.f64 y #s(literal 9 binary64)))
(* y y)
(*.f64 y y)
(* (- -3 (* 3 y)) 1/3)
(-.f64 #s(literal -1 binary64) y)
(- -3 (* 3 y))
(-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))
-3
#s(literal -3 binary64)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* (- -3 (* 3 y)) x)
(.f64 x (-.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)))
(* (sqrt x) (/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))))
(/.f64 (.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 9 binary64) (+.f64 (.f64 x (+.f64 #s(literal -81 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 81 binary64)))) (.f64 (.f64 y #s(literal 9 binary64)) (+.f64 y #s(literal 1 binary64))))) (+.f64 #s(literal 27 binary64) (.f64 y (+.f64 #s(literal 27 binary64) (*.f64 y #s(literal 27 binary64))))))) x)
(/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3)))
(/.f64 (+.f64 #s(literal 9 binary64) (+.f64 (.f64 x (+.f64 #s(literal -81 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 81 binary64)))) (.f64 (.f64 y #s(literal 9 binary64)) (+.f64 y #s(literal 1 binary64))))) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 y (+.f64 #s(literal 27 binary64) (*.f64 y #s(literal 27 binary64)))))))
(+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1))
(+.f64 #s(literal 9 binary64) (+.f64 (.f64 x (+.f64 #s(literal -81 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 81 binary64)))) (.f64 (.f64 y #s(literal 9 binary64)) (+.f64 y #s(literal 1 binary64)))))
(* (+ (* (* y (* y y)) 27) -27) (* x 3))
(.f64 x (+.f64 #s(literal -81 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 81 binary64))))
(+ (* (* y (* y y)) 27) -27)
(+.f64 (.f64 (.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64))
(* (* y (* y y)) 27)
(.f64 (.f64 y (*.f64 y y)) #s(literal 27 binary64))
(* y (* y y))
(.f64 y (.f64 y y))
27
#s(literal 27 binary64)
-27
#s(literal -27 binary64)
(* x 3)
(*.f64 #s(literal 3 binary64) x)
(* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)
(+.f64 #s(literal 9 binary64) (.f64 (.f64 y #s(literal 9 binary64)) (+.f64 y #s(literal 1 binary64))))
(+ (* 9 (* y y)) (- 9 (* y -9)))
(+.f64 #s(literal 9 binary64) (.f64 (.f64 y #s(literal 9 binary64)) (+.f64 y #s(literal 1 binary64))))
(- 9 (* y -9))
(+.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))
(* y -9)
(*.f64 y #s(literal -9 binary64))
-9
#s(literal -9 binary64)
(* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))
(.f64 x (+.f64 #s(literal 27 binary64) (.f64 y (+.f64 #s(literal 27 binary64) (*.f64 y #s(literal 27 binary64))))))

Results

244.0ms	182×	0	valid
148.0ms	38×	1	valid
157.0ms	28×	2	valid
71.0ms	5×	5	exit
16.0ms	3×	3	valid

Compiler

Compiled 430 to 272 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 506.0ms

ival-mult: 295.0ms (58.3% of total)

ival-div: 52.0ms (10.3% of total)

backward-pass: 52.0ms (10.3% of total)

ival-sub: 42.0ms (8.3% of total)

ival-add: 41.0ms (8.1% of total)

const: 17.0ms (3.4% of total)

ival-sqrt: 8.0ms (1.6% of total)

series118.0ms (0.7%)

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (/ (/ 1 x) 9)>
#<alt (* 3 (sqrt x))>
#<alt (* (* 3 (sqrt x)) (- (+ y (/ (/ 1 x) 9)) 1))>
#<alt (+ y (/ (/ 1 x) 9))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1/9 x)>
#<alt (* (* 3 (sqrt x)) (/ 1/9 x))>
#<alt (sqrt x)>
#<alt (/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x))>
#<alt (* (- 9 (* 9 (* y y))) x)>
#<alt (* (sqrt x) (/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x)))>
#<alt (* (- -3 (* 3 y)) x)>
#<alt (/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3)))>
#<alt (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1))>
#<alt (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))>
#<alt (* (+ (* (* y (* y y)) 27) -27) (* x 3))>
#<alt (- (+ y (/ (/ 1 x) 9)) 1)>
#<alt (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3))>
#<alt (* (- -3 (* 3 y)) 1/3)>
#<alt (* (sqrt x) (/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))))>
#<alt (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)>

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 (* 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)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (/ 1/9 x)>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 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)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<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 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 (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)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<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 (* -1/3 (/ (- (* 9 x) 1) x))>
#<alt (+ (* -1/3 (/ (- (* 9 x) 1) x)) (* y (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x)))))>
#<alt (+ (* -1/3 (/ (- (* 9 x) 1) x)) (* y (+ (* 1/3 (/ 1 x)) (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* y (+ 3 (* -1 (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x))))))))))>
#<alt (+ (* -1/3 (/ (- (* 9 x) 1) x)) (* y (+ (* 1/3 (/ 1 x)) (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* y (+ 3 (+ (* -1 (* y (+ 3 (* -1 (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x))))))) (* -1 (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x)))))))))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y))))>
#<alt (* y (+ 3 (+ (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) (* -1 (/ (- (+ (* 1/3 (/ 1 x)) (* 1/3 (/ (- (* 9 x) 1) x))) 3) (pow y 2))))))>
#<alt (* y (+ 3 (+ (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) (+ (* -1 (/ (- 3 (+ (* 1/3 (/ 1 x)) (* 1/3 (/ (- (* 9 x) 1) x)))) (pow y 3))) (* -1 (/ (- (+ (* 1/3 (/ 1 x)) (* 1/3 (/ (- (* 9 x) 1) x))) 3) (pow y 2)))))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (/ (- (* 9 x) 1) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (/ (- (* 9 x) 1) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ (- (* 9 x) 1) x))) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -1 (* x (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y)))))))) x)>
#<alt (/ (+ 1/3 (* -1 (* x (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y)))))))) x)>
#<alt (/ (+ 1/3 (* -1 (* x (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y)))))))) x)>
#<alt (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))>
#<alt (+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))>
#<alt (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))>
#<alt (+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))>
#<alt (* 9 x)>
#<alt (+ (* -9 (* x (pow y 2))) (* 9 x))>
#<alt (+ (* -9 (* x (pow y 2))) (* 9 x))>
#<alt (+ (* -9 (* x (pow y 2))) (* 9 x))>
#<alt (* -9 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))>
#<alt (* -9 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y))))))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y))))))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y))))))) (* 1/3 (sqrt x))) x)>
#<alt (* -1 (* (sqrt x) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1)))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1))) (* (sqrt (/ 1 x)) (* y (+ 1/3 (* 1/3 (- (* 9 x) 1))))))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1))) (* y (+ (* -1 (* (sqrt (/ 1 x)) (* y (- (* -3 x) (* -1 (+ 1/3 (* 1/3 (- (* 9 x) 1)))))))) (* (sqrt (/ 1 x)) (+ 1/3 (* 1/3 (- (* 9 x) 1)))))))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1))) (* y (+ (* y (+ (* -1 (* (sqrt (/ 1 x)) (* y (- (* -1 (+ 1/3 (* 1/3 (- (* 9 x) 1)))) (* -3 x))))) (* -1 (* (sqrt (/ 1 x)) (- (* -3 x) (* -1 (+ 1/3 (* 1/3 (- (* 9 x) 1))))))))) (* (sqrt (/ 1 x)) (+ 1/3 (* 1/3 (- (* 9 x) 1)))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))>
#<alt (* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (+ 1/3 (* -3 x)))) (pow y 2)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y)))))>
#<alt (* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* 1/3 (- (* 9 x) 1))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (+ 1/3 (* -3 x)))) (pow y 2)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- (* 1/3 (- (* 9 x) 1)) (* -1 (- 1/3 (* 3 x)))))) y)) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y)))))>
#<alt (* -3 x)>
#<alt (+ (* -3 x) (* -3 (* x y)))>
#<alt (+ (* -3 x) (* -3 (* x y)))>
#<alt (+ (* -3 x) (* -3 (* x y)))>
#<alt (* -3 (* x y))>
#<alt (* y (+ (* -3 x) (* -3 (/ x y))))>
#<alt (* y (+ (* -3 x) (* -3 (/ x y))))>
#<alt (* y (+ (* -3 x) (* -3 (/ x y))))>
#<alt (* -3 (* x y))>
#<alt (* -1 (* y (+ (* 3 x) (* 3 (/ x y)))))>
#<alt (* -1 (* y (+ (* 3 x) (* 3 (/ x y)))))>
#<alt (* -1 (* y (+ (* 3 x) (* 3 (/ x y)))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* -1 (* x (+ 3 (* 3 y))))>
#<alt (* 1/27 (/ (+ 9 (* -81 x)) x))>
#<alt (+ (* 1/27 (/ (+ 9 (* -81 x)) x)) (* 1/3 (* y (- (/ 1 x) (* 1/9 (/ (+ 9 (* -81 x)) x))))))>
#<alt (+ (* 1/27 (/ (+ 9 (* -81 x)) x)) (* y (+ (* 1/3 (* (pow y 2) (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x)))) (* 1/3 (- (/ 1 x) (* 1/9 (/ (+ 9 (* -81 x)) x)))))))>
#<alt (+ (* 1/27 (/ (+ 9 (* -81 x)) x)) (* y (+ (* 1/3 (- (/ 1 x) (* 1/9 (/ (+ 9 (* -81 x)) x)))) (* (pow y 2) (+ (* 1/3 (* y (- (/ 1 x) (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x)))))) (* 1/3 (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x))))))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ (- (/ 1 x) 9) y))))>
#<alt (* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x)) (pow y 3))) (* 1/3 (/ (- (/ 1 x) 9) y)))))>
#<alt (* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x)) (pow y 3))) (+ (* 1/3 (/ (- (/ 1 x) 9) y)) (* 1/3 (/ (- (/ 1 x) (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x)))) (pow y 4)))))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1/3 (/ (- (/ 1 x) 9) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/3 (/ (- 9 (+ (* -1 (- (/ 1 x) 9)) (/ 1 x))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (+ (* -1 (- 9 (+ (* -1 (- (/ 1 x) 9)) (/ 1 x)))) (/ 1 x))) y)) (* 1/3 (- 9 (+ (* -1 (- (/ 1 x) 9)) (/ 1 x))))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))) x)>
#<alt (/ (+ 1/3 (* x (- (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))) x)>
#<alt (/ (+ 1/3 (* x (- (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))) x)>
#<alt (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))>
#<alt (- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))>
#<alt (- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (+ 9 (* -81 x))>
#<alt (+ 9 (+ (* -81 x) (* 9 y)))>
#<alt (+ 9 (+ (* -81 x) (* y (+ 9 (* 9 y)))))>
#<alt (+ 9 (+ (* -81 x) (* y (+ 9 (* y (+ 9 (* 81 (* x y))))))))>
#<alt (* 81 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* 81 x) (* 9 (/ 1 y))))>
#<alt (* (pow y 3) (+ (* 81 x) (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -81 (/ x (pow y 3))) (+ (* 81 x) (+ (* 9 (/ 1 y)) (+ (* 9 (/ 1 (pow y 3))) (/ 9 (pow y 2)))))))>
#<alt (* 81 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (- (* -81 x) (* 9 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -81 x) (* -1 (/ (+ 9 (* 9 (/ 1 y))) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -81 x) (* -1 (/ (+ 9 (* -1 (/ (- (* -1 (/ (+ 9 (* -81 x)) y)) 9) y))) y)))))>
#<alt (- (+ 9 (* 9 (pow y 2))) (* -9 y))>
#<alt (- (+ 9 (+ (* 3 (* x (- (* 27 (pow y 3)) 27))) (* 9 (pow y 2)))) (* -9 y))>
#<alt (- (+ 9 (+ (* 3 (* x (- (* 27 (pow y 3)) 27))) (* 9 (pow y 2)))) (* -9 y))>
#<alt (- (+ 9 (+ (* 3 (* x (- (* 27 (pow y 3)) 27))) (* 9 (pow y 2)))) (* -9 y))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* x (- (+ (* 3 (- (* 27 (pow y 3)) 27)) (+ (* 9 (/ (pow y 2) x)) (* 9 (/ 1 x)))) (* -9 (/ y x))))>
#<alt (* x (- (+ (* 3 (- (* 27 (pow y 3)) 27)) (+ (* 9 (/ (pow y 2) x)) (* 9 (/ 1 x)))) (* -9 (/ y x))))>
#<alt (* x (- (+ (* 3 (- (* 27 (pow y 3)) 27)) (+ (* 9 (/ (pow y 2) x)) (* 9 (/ 1 x)))) (* -9 (/ y x))))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* -1 (* x (+ (* -3 (- (* 27 (pow y 3)) 27)) (* -1 (/ (- (+ 9 (* 9 (pow y 2))) (* -9 y)) x)))))>
#<alt (* -1 (* x (+ (* -3 (- (* 27 (pow y 3)) 27)) (* -1 (/ (- (+ 9 (* 9 (pow y 2))) (* -9 y)) x)))))>
#<alt (* -1 (* x (+ (* -3 (- (* 27 (pow y 3)) 27)) (* -1 (/ (- (+ 9 (* 9 (pow y 2))) (* -9 y)) x)))))>
#<alt (* 27 x)>
#<alt (+ (* 27 x) (* 27 (* x y)))>
#<alt (+ (* 27 x) (* y (+ (* 27 x) (* 27 (* x y)))))>
#<alt (+ (* 27 x) (* y (+ (* 27 x) (* 27 (* x y)))))>
#<alt (* 27 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 27 x) (* 27 (/ x y))))>
#<alt (* (pow y 2) (+ (* 27 x) (+ (* 27 (/ x y)) (* 27 (/ x (pow y 2))))))>
#<alt (* (pow y 2) (+ (* 27 x) (+ (* 27 (/ x y)) (* 27 (/ x (pow y 2))))))>
#<alt (* 27 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 27 x) (* 27 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -27 x) (* -27 (/ x y))) y)) (* 27 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -27 x) (* -27 (/ x y))) y)) (* 27 x)))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* -81 x)>
#<alt (+ (* -81 x) (* 81 (* x (pow y 3))))>
#<alt (+ (* -81 x) (* 81 (* x (pow y 3))))>
#<alt (+ (* -81 x) (* 81 (* x (pow y 3))))>
#<alt (* 81 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -81 (/ x (pow y 3))) (* 81 x)))>
#<alt (* (pow y 3) (+ (* -81 (/ x (pow y 3))) (* 81 x)))>
#<alt (* (pow y 3) (+ (* -81 (/ x (pow y 3))) (* 81 x)))>
#<alt (* 81 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -81 x) (* 81 (/ x (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -81 x) (* 81 (/ x (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -81 x) (* 81 (/ x (pow y 3))))))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (* 3 (* x (- (* 27 (pow y 3)) 27)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (* 9 x) 1)>
#<alt (- (+ (* -1 y) (* 9 x)) 1)>
#<alt (- (+ (* 9 x) (* y (- (* -9 (* x y)) 1))) 1)>
#<alt (- (+ (* 9 x) (* y (- (* -9 (* x y)) 1))) 1)>
#<alt (* -9 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -9 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ (* -9 x) (* 9 (/ x (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (* -9 x) (* 9 (/ x (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* -9 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -9 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -9 x) (* -1 (/ (+ 1 (* -1 (/ (- (* 9 x) 1) y))) y))))>
#<alt (* (pow y 2) (+ (* -9 x) (* -1 (/ (+ 1 (* -1 (/ (- (* 9 x) 1) y))) y))))>
#<alt (* -1/3 (+ 3 (* 3 y)))>
#<alt (+ (* -1/3 (+ 3 (* 3 y))) (* x (- 9 (* 9 (pow y 2)))))>
#<alt (+ (* -1/3 (+ 3 (* 3 y))) (* x (- 9 (* 9 (pow y 2)))))>
#<alt (+ (* -1/3 (+ 3 (* 3 y))) (* x (- 9 (* 9 (pow y 2)))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* x (- (+ 9 (* -1/3 (/ (+ 3 (* 3 y)) x))) (* 9 (pow y 2))))>
#<alt (* x (- (+ 9 (* -1/3 (/ (+ 3 (* 3 y)) x))) (* 9 (pow y 2))))>
#<alt (* x (- (+ 9 (* -1/3 (/ (+ 3 (* 3 y)) x))) (* 9 (pow y 2))))>
#<alt (* x (- 9 (* 9 (pow y 2))))>
#<alt (* -1 (* x (+ (* -1 (- 9 (* 9 (pow y 2)))) (* 1/3 (/ (+ 3 (* 3 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 9 (* 9 (pow y 2)))) (* 1/3 (/ (+ 3 (* 3 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 9 (* 9 (pow y 2)))) (* 1/3 (/ (+ 3 (* 3 y)) x)))))>
#<alt -1>
#<alt (- (* -1 y) 1)>
#<alt (- (* -1 y) 1)>
#<alt (- (* -1 y) 1)>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))) x)>
#<alt (* (sqrt x) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))>
#<alt (* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))))>
#<alt (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x))))>
#<alt (+ (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (* 1/9 (+ 9 (* -81 x))))))))>
#<alt (+ (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* (pow y 2) (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1)))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (+ 9 (* -81 x)))))))))>
#<alt (+ (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (+ 9 (* -81 x)))))) (* (pow y 2) (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1) (pow y 3)))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x))) (pow y 4)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1) (pow y 3)))) (* 3 (sqrt x))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (+ (* -9 x) (* -1 (- 1 (* 9 x))))) y)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (+ 1 (+ (* -9 x) (* -1 (- 1 (* 9 x))))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) (+ 2 (+ (* -9 x) (* -1 (- 1 (* 9 x)))))) y)))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))>
#<alt 9>
#<alt (+ 9 (* 9 y))>
#<alt (+ 9 (* y (+ 9 (* 9 y))))>
#<alt (+ 9 (* y (+ 9 (* 9 y))))>
#<alt (* 9 (pow y 2))>
#<alt (* (pow y 2) (+ 9 (* 9 (/ 1 y))))>
#<alt (* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))>
#<alt (* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))>
#<alt (* 9 (pow y 2))>
#<alt (* (pow y 2) (+ 9 (* 9 (/ 1 y))))>
#<alt (* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))>
#<alt (* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))>

Calls

108 calls:

Time	Variable		Point	Expression
50.0ms	x	@	inf	(* (sqrt x) (/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x)))
5.0ms	y	@	0	(+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3))
3.0ms	x	@	-inf	(/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x))
2.0ms	y	@	-inf	(* (+ (* (* y (* y y)) 27) -27) (* x 3))
2.0ms	x	@	0	(/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3)))

rewrite702.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4528×	`/-lowering-/.f32`
4528×	`/-lowering-/.f64`
4206×	`-lowering-.f32`
4206×	`-lowering-.f64`
2960×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	301
1	265	286
2	2330	286
0	8232	251

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 784

Calls

Call 1

Inputs
(/ (/ 1 x) 9)
(* 3 (sqrt x))
(* (* 3 (sqrt x)) (- (+ y (/ (/ 1 x) 9)) 1))
(+ y (/ (/ 1 x) 9))
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(/ 1/9 x)
(* (* 3 (sqrt x)) (/ 1/9 x))
(sqrt x)
(/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x))
(* (- 9 (* 9 (* y y))) x)
(* (sqrt x) (/ (+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3)) (* (- -3 (* 3 y)) x)))
(* (- -3 (* 3 y)) x)
(/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3)))
(+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1))
(* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))
(* (+ (* (* y (* y y)) 27) -27) (* x 3))
(- (+ y (/ (/ 1 x) 9)) 1)
(+ (* (- 9 (* 9 (* y y))) x) (* (- -3 (* 3 y)) 1/3))
(* (- -3 (* 3 y)) 1/3)
(* (sqrt x) (/ (+ (* (+ (* (* y (* y y)) 27) -27) (* x 3)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)) (* (+ (* 9 (* y y)) (- 9 (* y -9))) (* x 3))))
(* (+ (* 9 (* y y)) (- 9 (* y -9))) 1)

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

simplify973.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

12396×	`accelerator-lowering-fma.f32`
12396×	`accelerator-lowering-fma.f64`
7878×	`-lowering-.f32`
7878×	`-lowering-.f64`
3838×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	632	6079
1	2130	5490
2	7356	5463
0	8662	5000

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (/ (- (* 9 x) 1) x))
(+ (* -1/3 (/ (- (* 9 x) 1) x)) (* y (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x)))))
(+ (* -1/3 (/ (- (* 9 x) 1) x)) (* y (+ (* 1/3 (/ 1 x)) (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* y (+ 3 (* -1 (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x))))))))))
(+ (* -1/3 (/ (- (* 9 x) 1) x)) (* y (+ (* 1/3 (/ 1 x)) (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* y (+ 3 (+ (* -1 (* y (+ 3 (* -1 (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x))))))) (* -1 (+ (* 1/3 (/ (- (* 9 x) 1) x)) (* 1/3 (/ 1 x)))))))))))
(* 3 y)
(* y (+ 3 (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y))))
(* y (+ 3 (+ (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) (* -1 (/ (- (+ (* 1/3 (/ 1 x)) (* 1/3 (/ (- (* 9 x) 1) x))) 3) (pow y 2))))))
(* y (+ 3 (+ (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) (+ (* -1 (/ (- 3 (+ (* 1/3 (/ 1 x)) (* 1/3 (/ (- (* 9 x) 1) x)))) (pow y 3))) (* -1 (/ (- (+ (* 1/3 (/ 1 x)) (* 1/3 (/ (- (* 9 x) 1) x))) 3) (pow y 2)))))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (/ (- (* 9 x) 1) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (/ (- (* 9 x) 1) x)) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ (- (* 9 x) 1) x))) (* -1 (- (* 1/3 (/ 1 x)) 3))) y)) (* 1/3 (/ 1 x))) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* -1 (* x (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y)))))))) x)
(/ (+ 1/3 (* -1 (* x (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y)))))))) x)
(/ (+ 1/3 (* -1 (* x (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y)))))))) x)
(* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))
(+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))
(* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))
(+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x)))
(* 9 x)
(+ (* -9 (* x (pow y 2))) (* 9 x))
(+ (* -9 (* x (pow y 2))) (* 9 x))
(+ (* -9 (* x (pow y 2))) (* 9 x))
(* -9 (* x (pow y 2)))
(* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))
(* -9 (* x (pow y 2)))
(* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -9 x) (* 9 (/ x (pow y 2)))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -1 (* (sqrt (pow x 3)) (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y))))))) (* 1/3 (sqrt x))) x)
(/ (+ (* -1 (* (sqrt (pow x 3)) (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y))))))) (* 1/3 (sqrt x))) x)
(/ (+ (* -1 (* (sqrt (pow x 3)) (- (* 9 (/ 1 (+ 3 (* 3 y)))) (* 9 (/ (pow y 2) (+ 3 (* 3 y))))))) (* 1/3 (sqrt x))) x)
(* -1 (* (sqrt x) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y)))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 9 (* 9 (pow y 2))) (+ 3 (* 3 y))))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* (sqrt x) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- 9 (* 9 (pow y 2)))) (+ 3 (* 3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1)))
(+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1))) (* (sqrt (/ 1 x)) (* y (+ 1/3 (* 1/3 (- (* 9 x) 1))))))
(+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1))) (* y (+ (* -1 (* (sqrt (/ 1 x)) (* y (- (* -3 x) (* -1 (+ 1/3 (* 1/3 (- (* 9 x) 1)))))))) (* (sqrt (/ 1 x)) (+ 1/3 (* 1/3 (- (* 9 x) 1)))))))
(+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 9 x) 1))) (* y (+ (* y (+ (* -1 (* (sqrt (/ 1 x)) (* y (- (* -1 (+ 1/3 (* 1/3 (- (* 9 x) 1)))) (* -3 x))))) (* -1 (* (sqrt (/ 1 x)) (- (* -3 x) (* -1 (+ 1/3 (* 1/3 (- (* 9 x) 1))))))))) (* (sqrt (/ 1 x)) (+ 1/3 (* 1/3 (- (* 9 x) 1)))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (+ 1/3 (* -3 x)))) (pow y 2)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y)))))
(* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (+ 1/3 (* -3 x))) (* 1/3 (- (* 9 x) 1))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (+ 1/3 (* -3 x)))) (pow y 2)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1/3 (* 3 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) 1)) (* -1 (- 1/3 (* 3 x)))) y))) (* (sqrt (/ 1 x)) (- (* 1/3 (- (* 9 x) 1)) (* -1 (- 1/3 (* 3 x)))))) y)) (* (sqrt (/ 1 x)) (- 1/3 (* 3 x)))) y)))))
(* -3 x)
(+ (* -3 x) (* -3 (* x y)))
(+ (* -3 x) (* -3 (* x y)))
(+ (* -3 x) (* -3 (* x y)))
(* -3 (* x y))
(* y (+ (* -3 x) (* -3 (/ x y))))
(* y (+ (* -3 x) (* -3 (/ x y))))
(* y (+ (* -3 x) (* -3 (/ x y))))
(* -3 (* x y))
(* -1 (* y (+ (* 3 x) (* 3 (/ x y)))))
(* -1 (* y (+ (* 3 x) (* 3 (/ x y)))))
(* -1 (* y (+ (* 3 x) (* 3 (/ x y)))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* -1 (* x (+ 3 (* 3 y))))
(* 1/27 (/ (+ 9 (* -81 x)) x))
(+ (* 1/27 (/ (+ 9 (* -81 x)) x)) (* 1/3 (* y (- (/ 1 x) (* 1/9 (/ (+ 9 (* -81 x)) x))))))
(+ (* 1/27 (/ (+ 9 (* -81 x)) x)) (* y (+ (* 1/3 (* (pow y 2) (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x)))) (* 1/3 (- (/ 1 x) (* 1/9 (/ (+ 9 (* -81 x)) x)))))))
(+ (* 1/27 (/ (+ 9 (* -81 x)) x)) (* y (+ (* 1/3 (- (/ 1 x) (* 1/9 (/ (+ 9 (* -81 x)) x)))) (* (pow y 2) (+ (* 1/3 (* y (- (/ 1 x) (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x)))))) (* 1/3 (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x))))))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ (- (/ 1 x) 9) y))))
(* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x)) (pow y 3))) (* 1/3 (/ (- (/ 1 x) 9) y)))))
(* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (/ 1 x)) (pow y 3))) (+ (* 1/3 (/ (- (/ 1 x) 9) y)) (* 1/3 (/ (- (/ 1 x) (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x)))) (pow y 4)))))))
(* 3 y)
(* -1 (* y (- (* -1/3 (/ (- (/ 1 x) 9) y)) 3)))
(* -1 (* y (- (* -1 (/ (+ (* -1/3 (/ (- 9 (+ (* -1 (- (/ 1 x) 9)) (/ 1 x))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (+ 9 (* 1/9 (/ (+ 9 (* -81 x)) x))) (+ (* -1 (- 9 (+ (* -1 (- (/ 1 x) 9)) (/ 1 x)))) (/ 1 x))) y)) (* 1/3 (- 9 (+ (* -1 (- (/ 1 x) 9)) (/ 1 x))))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))) x)
(/ (+ 1/3 (* x (- (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))) x)
(/ (+ 1/3 (* x (- (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))) x)
(/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))
(- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))
(- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(- (+ (* 27 (/ (pow y 3) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))) (* 1/3 (/ 1 x))) (* 27 (/ 1 (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(+ 9 (* -81 x))
(+ 9 (+ (* -81 x) (* 9 y)))
(+ 9 (+ (* -81 x) (* y (+ 9 (* 9 y)))))
(+ 9 (+ (* -81 x) (* y (+ 9 (* y (+ 9 (* 81 (* x y))))))))
(* 81 (* x (pow y 3)))
(* (pow y 3) (+ (* 81 x) (* 9 (/ 1 y))))
(* (pow y 3) (+ (* 81 x) (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))
(* (pow y 3) (+ (* -81 (/ x (pow y 3))) (+ (* 81 x) (+ (* 9 (/ 1 y)) (+ (* 9 (/ 1 (pow y 3))) (/ 9 (pow y 2)))))))
(* 81 (* x (pow y 3)))
(* -1 (* (pow y 3) (- (* -81 x) (* 9 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -81 x) (* -1 (/ (+ 9 (* 9 (/ 1 y))) y)))))
(* -1 (* (pow y 3) (+ (* -81 x) (* -1 (/ (+ 9 (* -1 (/ (- (* -1 (/ (+ 9 (* -81 x)) y)) 9) y))) y)))))
(- (+ 9 (* 9 (pow y 2))) (* -9 y))
(- (+ 9 (+ (* 3 (* x (- (* 27 (pow y 3)) 27))) (* 9 (pow y 2)))) (* -9 y))
(- (+ 9 (+ (* 3 (* x (- (* 27 (pow y 3)) 27))) (* 9 (pow y 2)))) (* -9 y))
(- (+ 9 (+ (* 3 (* x (- (* 27 (pow y 3)) 27))) (* 9 (pow y 2)))) (* -9 y))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* x (- (+ (* 3 (- (* 27 (pow y 3)) 27)) (+ (* 9 (/ (pow y 2) x)) (* 9 (/ 1 x)))) (* -9 (/ y x))))
(* x (- (+ (* 3 (- (* 27 (pow y 3)) 27)) (+ (* 9 (/ (pow y 2) x)) (* 9 (/ 1 x)))) (* -9 (/ y x))))
(* x (- (+ (* 3 (- (* 27 (pow y 3)) 27)) (+ (* 9 (/ (pow y 2) x)) (* 9 (/ 1 x)))) (* -9 (/ y x))))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* -1 (* x (+ (* -3 (- (* 27 (pow y 3)) 27)) (* -1 (/ (- (+ 9 (* 9 (pow y 2))) (* -9 y)) x)))))
(* -1 (* x (+ (* -3 (- (* 27 (pow y 3)) 27)) (* -1 (/ (- (+ 9 (* 9 (pow y 2))) (* -9 y)) x)))))
(* -1 (* x (+ (* -3 (- (* 27 (pow y 3)) 27)) (* -1 (/ (- (+ 9 (* 9 (pow y 2))) (* -9 y)) x)))))
(* 27 x)
(+ (* 27 x) (* 27 (* x y)))
(+ (* 27 x) (* y (+ (* 27 x) (* 27 (* x y)))))
(+ (* 27 x) (* y (+ (* 27 x) (* 27 (* x y)))))
(* 27 (* x (pow y 2)))
(* (pow y 2) (+ (* 27 x) (* 27 (/ x y))))
(* (pow y 2) (+ (* 27 x) (+ (* 27 (/ x y)) (* 27 (/ x (pow y 2))))))
(* (pow y 2) (+ (* 27 x) (+ (* 27 (/ x y)) (* 27 (/ x (pow y 2))))))
(* 27 (* x (pow y 2)))
(* (pow y 2) (+ (* 27 x) (* 27 (/ x y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -27 x) (* -27 (/ x y))) y)) (* 27 x)))
(* (pow y 2) (+ (* -1 (/ (+ (* -27 x) (* -27 (/ x y))) y)) (* 27 x)))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* 3 (* x (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* -81 x)
(+ (* -81 x) (* 81 (* x (pow y 3))))
(+ (* -81 x) (* 81 (* x (pow y 3))))
(+ (* -81 x) (* 81 (* x (pow y 3))))
(* 81 (* x (pow y 3)))
(* (pow y 3) (+ (* -81 (/ x (pow y 3))) (* 81 x)))
(* (pow y 3) (+ (* -81 (/ x (pow y 3))) (* 81 x)))
(* (pow y 3) (+ (* -81 (/ x (pow y 3))) (* 81 x)))
(* 81 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -81 x) (* 81 (/ x (pow y 3))))))
(* -1 (* (pow y 3) (+ (* -81 x) (* 81 (/ x (pow y 3))))))
(* -1 (* (pow y 3) (+ (* -81 x) (* 81 (/ x (pow y 3))))))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(* 3 (* x (- (* 27 (pow y 3)) 27)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (* 9 x) 1)
(- (+ (* -1 y) (* 9 x)) 1)
(- (+ (* 9 x) (* y (- (* -9 (* x y)) 1))) 1)
(- (+ (* 9 x) (* y (- (* -9 (* x y)) 1))) 1)
(* -9 (* x (pow y 2)))
(* (pow y 2) (- (* -9 x) (/ 1 y)))
(* (pow y 2) (- (+ (* -9 x) (* 9 (/ x (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (- (+ (* -9 x) (* 9 (/ x (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 2)))))
(* -9 (* x (pow y 2)))
(* (pow y 2) (- (* -9 x) (/ 1 y)))
(* (pow y 2) (+ (* -9 x) (* -1 (/ (+ 1 (* -1 (/ (- (* 9 x) 1) y))) y))))
(* (pow y 2) (+ (* -9 x) (* -1 (/ (+ 1 (* -1 (/ (- (* 9 x) 1) y))) y))))
(* -1/3 (+ 3 (* 3 y)))
(+ (* -1/3 (+ 3 (* 3 y))) (* x (- 9 (* 9 (pow y 2)))))
(+ (* -1/3 (+ 3 (* 3 y))) (* x (- 9 (* 9 (pow y 2)))))
(+ (* -1/3 (+ 3 (* 3 y))) (* x (- 9 (* 9 (pow y 2)))))
(* x (- 9 (* 9 (pow y 2))))
(* x (- (+ 9 (* -1/3 (/ (+ 3 (* 3 y)) x))) (* 9 (pow y 2))))
(* x (- (+ 9 (* -1/3 (/ (+ 3 (* 3 y)) x))) (* 9 (pow y 2))))
(* x (- (+ 9 (* -1/3 (/ (+ 3 (* 3 y)) x))) (* 9 (pow y 2))))
(* x (- 9 (* 9 (pow y 2))))
(* -1 (* x (+ (* -1 (- 9 (* 9 (pow y 2)))) (* 1/3 (/ (+ 3 (* 3 y)) x)))))
(* -1 (* x (+ (* -1 (- 9 (* 9 (pow y 2)))) (* 1/3 (/ (+ 3 (* 3 y)) x)))))
(* -1 (* x (+ (* -1 (- 9 (* 9 (pow y 2)))) (* 1/3 (/ (+ 3 (* 3 y)) x)))))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))) x)
(* (sqrt x) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 27 (pow y 3)) 27) (- (+ 9 (* 9 (pow y 2))) (* -9 y))))))
(* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 27 (pow y 3)) 27)) (- (+ 9 (* 9 (pow y 2))) (* -9 y)))))))
(* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x))))
(+ (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (* 1/9 (+ 9 (* -81 x))))))))
(+ (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* (pow y 2) (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1)))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (+ 9 (* -81 x)))))))))
(+ (* 1/27 (* (sqrt (/ 1 x)) (+ 9 (* -81 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (+ 9 (* -81 x)))))) (* (pow y 2) (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1))))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1) (pow y 3)))) (* 3 (sqrt x)))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x))) (pow y 4)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) 1) (pow y 3)))) (* 3 (sqrt x))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (+ (* -9 x) (* -1 (- 1 (* 9 x))))) y)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (+ 1 (+ (* -9 x) (* -1 (- 1 (* 9 x))))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/9 (+ 9 (* -81 x))) (* 9 x)) (+ 2 (+ (* -9 x) (* -1 (- 1 (* 9 x)))))) y)))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))
9
(+ 9 (* 9 y))
(+ 9 (* y (+ 9 (* 9 y))))
(+ 9 (* y (+ 9 (* 9 y))))
(* 9 (pow y 2))
(* (pow y 2) (+ 9 (* 9 (/ 1 y))))
(* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))
(* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))
(* 9 (pow y 2))
(* (pow y 2) (+ 9 (* 9 (/ 1 y))))
(* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))
(* (pow y 2) (+ 9 (+ (* 9 (/ 1 y)) (/ 9 (pow y 2)))))

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

eval557.0ms (3.5%)

Compiler: Compiled 60152 to 39032 computations (35.1% saved)

prune254.0ms (1.6%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1311	20	1331
Fresh	14	11	25
Picked	4	1	5
Done	1	0	1
Total	1330	32	1362

Accuracy

100.0%

Counts

1362 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.8%	(/.f64 (/.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 x (-.f64 #s(literal 9 binary64) (.f64 y (.f64 #s(literal 9 binary64) y)))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 y #s(literal -3 binary64)))))) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) x)
	58.0%	(/.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (sqrt.f64 x)) (+.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶	58.3%	(/.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))))
	27.0%	(/.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 y #s(literal 9 binary64)))))
▶	38.9%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
▶	38.9%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
	79.4%	(+.f64 (.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -81 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/27 binary64))) (.f64 y (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -9 binary64)))))))
	99.2%	(+.f64 (.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -81 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/27 binary64))) (.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -9 binary64)))))))
	38.9%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
	60.8%	(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	99.4%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	57.6%	(.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -81 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/27 binary64)))
	38.8%	(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
	99.1%	(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
	99.3%	(.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	38.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
	89.3%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))))
	42.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
	84.8%	(.f64 (.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)) (sqrt.f64 x)))
	2.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
	99.0%	(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	38.9%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
	57.7%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
	99.1%	(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
	79.1%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
	61.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
	42.2%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
	67.2%	(.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
	61.4%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
	42.5%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
▶	57.7%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))

Compiler

Compiled 1032 to 816 computations (20.9% saved)

localize1.1s (7.2%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
✓	cost-diff	0	(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	896	(/.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))))
✓	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 binary64) (.f64 x #s(literal -9 binary64))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	92.0%	(.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	66.7%	(/.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
✓	accuracy	99.4%	(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	99.7%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)

Rules

11250×	`accelerator-lowering-fma.f32`
11250×	`accelerator-lowering-fma.f64`
4328×	`-lowering-.f32`
4328×	`-lowering-.f64`
2596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	159
1	73	159
2	208	159
3	760	157
4	3980	157
5	5451	157
0	8244	149

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

175.0ms	250×	0	valid
7.0ms	4×	2	valid
3.0ms	2×	1	valid

Compiler

Compiled 200 to 131 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-div: 39.0ms (31.2% of total)

ival-mult: 35.0ms (28% of total)

ival-add: 33.0ms (26.4% of total)

ival-sqrt: 9.0ms (7.2% of total)

const: 7.0ms (5.6% of total)

backward-pass: 2.0ms (1.6% of total)

series44.0ms (0.3%)

Counts

18 → 288

Calls

Call 1

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

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 (* 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)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<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 (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<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)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -9 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -9 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -9 (sqrt (pow x 3)))) x)>
#<alt (* -9 (sqrt x))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -9 (sqrt (/ 1 x)))))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -9 (sqrt (/ 1 x)))))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -9 (sqrt (/ 1 x)))))>
#<alt (* -9 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<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>
#<alt (+ 1 (* -9 x))>
#<alt (+ 1 (* -9 x))>
#<alt (+ 1 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (/ 1 x) 9))>
#<alt (* x (- (/ 1 x) 9))>
#<alt (* x (- (/ 1 x) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (/ 1 x))))>
#<alt (* -1 (* x (- 9 (/ 1 x))))>
#<alt (* -1 (* x (- 9 (/ 1 x))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x)>
#<alt (* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y))))>
#<alt (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2))))))))>
#<alt (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))>
#<alt (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))))>
#<alt (* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))>
#<alt (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))>
#<alt (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))))>
#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))))))>
#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))>
#<alt (* 1/27 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2))>
#<alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))>
#<alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))>
#<alt (* 3 (* (sqrt x) (- (pow y 2) 1)))>
#<alt (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))>
#<alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))>
#<alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))>
#<alt (* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))>
#<alt (+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))>
#<alt (* 3 (* (sqrt x) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))>
#<alt (* 3 (* (sqrt x) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<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 (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))>
#<alt (- (pow y 2) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (pow y 2))))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (pow y 2))))) (pow x 2))>
#<alt (pow y 2)>
#<alt (+ (* 2/9 (/ y x)) (pow y 2))>
#<alt (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))>
#<alt (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))>
#<alt (pow y 2)>
#<alt (+ (* 2/9 (/ y x)) (pow y 2))>
#<alt (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))>
#<alt (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (+ (* 2/9 (/ y x)) (* 1/81 (/ 1 (pow x 2))))>
#<alt (+ (* y (+ y (* 2/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))>
#<alt (+ (* y (+ y (* 2/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))>

Calls

72 calls:

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

rewrite638.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5336×	`accelerator-lowering-fma.f32`
5336×	`accelerator-lowering-fma.f64`
5244×	`/-lowering-/.f32`
5244×	`/-lowering-/.f64`
3776×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	127
1	182	124
2	1825	124
0	8308	121

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 942

Calls

Call 1

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

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

simplify743.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

10562×	`accelerator-lowering-fma.f32`
10562×	`accelerator-lowering-fma.f64`
6932×	`-lowering-.f32`
6932×	`-lowering-.f64`
3408×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	502	4186
1	1521	3920
2	5271	3774
0	8392	3576

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
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(- (+ y (* 1/9 (/ 1 x))) 1)
y
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1
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(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x)
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(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))
(+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))))
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))))))
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))
(* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))
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(* 1/27 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2))
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))
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(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))
(* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))
(+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))))
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(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))
(* 3 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))
(* 3 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))
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-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
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(/ 1 x)
(/ 1 x)
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
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(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(- (pow y 2) 1)
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(pow y 2)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
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(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (pow y 2))))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (pow y 2))))) (pow x 2))
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(+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))
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(+ (* 2/9 (/ y x)) (* 1/81 (/ 1 (pow x 2))))
(+ (* y (+ y (* 2/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))
(+ (* y (+ y (* 2/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
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(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* 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)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
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(+ (* 2/9 (/ y x)) (pow y 2))
(*.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)))
(+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))
(+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x))))
(+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))
(+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x))))
(pow y 2)
(*.f64 y y)
(+ (* 2/9 (/ y x)) (pow y 2))
(*.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)))
(+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))
(-.f64 (.f64 y y) (/.f64 (+.f64 (.f64 y #s(literal -2/9 binary64)) (/.f64 #s(literal -1/81 binary64) x)) x))
(+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))
(-.f64 (.f64 y y) (/.f64 (+.f64 (.f64 y #s(literal -2/9 binary64)) (/.f64 #s(literal -1/81 binary64) x)) x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(+ (* 2/9 (/ y x)) (* 1/81 (/ 1 (pow x 2))))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) (.f64 y #s(literal 2/9 binary64))))
(+ (* y (+ y (* 2/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x))))
(+ (* y (+ y (* 2/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x y))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (.f64 x y)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x y) (.f64 x y))))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (.f64 x y)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x y) (.f64 x y))))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x y))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (.f64 x y)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x y) (.f64 x y))))))
(* (pow y 2) (+ 1 (+ (/ 1/81 (* (pow x 2) (pow y 2))) (/ 2/9 (* x y)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (.f64 x y)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x y) (.f64 x y))))))

eval478.0ms (3%)

Compiler: Compiled 38460 to 25953 computations (32.5% saved)

prune283.0ms (1.8%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1420	16	1436
Fresh	16	10	26
Picked	3	2	5
Done	1	0	1
Total	1440	28	1468

Accuracy

100.0%

Counts

1468 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.8%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
	22.2%	(/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) x)
✓	38.9%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	57.8%	(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64)))) (sqrt.f64 x))
	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
	38.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
	38.9%	(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
✓	38.9%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
	57.8%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64)))
	38.9%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
▶	99.4%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
	38.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
	99.3%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 x (.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
	99.4%	(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
▶	79.5%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	42.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
▶	2.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
	99.0%	(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	57.7%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
	79.1%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
	61.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
	42.2%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
	20.2%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
▶	61.4%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
	42.5%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
▶	3.4%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
	20.1%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -9 binary64))))
	20.1%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) #s(literal -9 binary64)))

Compiler

Compiled 544 to 433 computations (20.4% saved)

localize514.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
✓	cost-diff	0	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	cost-diff	0	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
✓	accuracy	99.6%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y))
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	99.4%	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))

Rules

3216×	`accelerator-lowering-fma.f32`
3216×	`accelerator-lowering-fma.f64`
1348×	`-lowering-.f32`
1348×	`-lowering-.f64`
822×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	88
1	53	88
2	141	88
3	261	88
4	342	88
5	498	88
6	812	88
7	1510	88
8	2776	88
9	4056	88
10	4419	88
11	4495	88
12	4517	88
13	4527	88
14	4713	88
15	4802	88
16	4981	88
17	5409	88
18	5433	88
19	5433	88
20	5433	88
0	5433	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

96.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 114 to 68 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 18.0ms (32.3% of total)

ival-mult: 15.0ms (26.9% of total)

ival-add: 13.0ms (23.3% of total)

ival-sqrt: 6.0ms (10.8% of total)

const: 4.0ms (7.2% of total)

backward-pass: 0.0ms (0% of total)

series22.0ms (0.1%)

Counts

14 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite640.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

7062×	`accelerator-lowering-fma.f32`
7062×	`accelerator-lowering-fma.f64`
4914×	`/-lowering-/.f32`
4914×	`/-lowering-/.f64`
3580×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	117	74
2	1375	74
0	8513	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1183

Calls

Call 1

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

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

simplify765.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

15558×	`accelerator-lowering-fma.f32`
15558×	`accelerator-lowering-fma.f64`
4494×	`-lowering-.f32`
4494×	`-lowering-.f64`
2470×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1605
1	395	1566
2	1268	1562
3	2797	1562
4	7149	1562
0	8436	1496

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval477.0ms (3%)

Compiler: Compiled 30015 to 18483 computations (38.4% saved)

prune727.0ms (4.6%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1552	14	1566
Fresh	7	14	21
Picked	4	1	5
Done	0	2	2
Total	1563	31	1594

Accuracy

100.0%

Counts

1594 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
	61.4%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
	57.8%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
	22.2%	(/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) x)
	61.3%	(/.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64))
✓	38.9%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	3.4%	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
	38.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
	38.9%	(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
✓	38.9%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
	2.6%	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
	57.8%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64)))
	38.9%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
	2.6%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
	79.1%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1/3 binary64)) (sqrt.f64 x))
	61.0%	(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
	38.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
	57.8%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	42.5%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
	38.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
	79.5%	(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
✓	79.5%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	61.0%	(.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
	42.5%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
	57.7%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
	42.2%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
	20.2%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
	61.3%	(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	42.5%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
	20.1%	(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) #s(literal -9 binary64)))

Compiler

Compiled 1476 to 1052 computations (28.7% saved)

regimes81.0ms (0.5%)

Counts

82 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
26.0ms	x
23.0ms	y

Results

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes33.0ms (0.2%)

Counts

52 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) #s(literal -9 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -9 binary64))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64)))) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -81 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/27 binary64)))
(.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))

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

Calls

2 calls:

15.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes128.0ms (0.8%)

Counts

50 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) #s(literal -9 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -9 binary64))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64)))) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -81 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/27 binary64)))
(.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))

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

Calls

2 calls:

85.0ms	x
39.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) #s(literal -9 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) y)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -9 binary64))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64)))) (sqrt.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -81 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/27 binary64)))

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

Calls

2 calls:

14.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes73.0ms (0.5%)

Counts

44 → 2

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
28.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`x`
97.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes52.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
87.0%	3	`y`
85.8%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
71.8%	5	`y`
85.4%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.3%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
20.0ms	y

Results

Accuracy	Segments	Branch
71.0%	5	`y`
68.2%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
70.9%	5	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
70.9%	5	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
57.2%	2	`x`
41.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
57.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
20.2%	1	`y`
20.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Outputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
3.4%	1	`y`
3.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	190.25544524540726	307857.099536779

Results

11.0ms

128×

valid

Compiler

Compiled 213 to 169 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.1% of total)

ival-div: 1.0ms (13.7% of total)

ival-sub: 1.0ms (13.7% of total)

ival-add: 1.0ms (13.7% of total)

ival-sqrt: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00021102245463360832	190.25544524540726

Results

14.0ms

144×

valid

Compiler

Compiled 237 to 188 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (40.7% of total)

ival-div: 1.0ms (13.6% of total)

ival-sub: 1.0ms (13.6% of total)

ival-add: 1.0ms (13.6% of total)

ival-sqrt: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00021102245463360832	190.25544524540726

Results

15.0ms

144×

valid

Compiler

Compiled 219 to 179 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.8% of total)

ival-div: 1.0ms (13.9% of total)

ival-sub: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

ival-sqrt: 1.0ms (13.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.6804186097804664e-13	2.8832533826497714e-11

Results

9.0ms

112×

valid

Compiler

Compiled 161 to 136 computations (15.5% saved)

Precisions

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

ival-mult: 2.0ms (35.8% of total)

ival-div: 1.0ms (17.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-sqrt: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.6804186097804664e-13	2.8832533826497714e-11

Results

9.0ms

112×

valid

Compiler

Compiled 161 to 136 computations (15.5% saved)

Precisions

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

ival-mult: 2.0ms (35.8% of total)

ival-div: 1.0ms (17.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-sqrt: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.15137957831874e+64	1.4250551789389145e+68
19.0ms	1.203448466494294e-290	6.194359719284205e-289
16.0ms	-7.130801496058327e-225	-2.482223898307442e-227
18.0ms	-389.34854237284856	-0.00017690102173315166

Results

49.0ms

512×

valid

Compiler

Compiled 567 to 482 computations (15% saved)

Precisions

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

ival-mult: 10.0ms (32.1% of total)

ival-sqrt: 10.0ms (32.1% of total)

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

ival-sub: 3.0ms (9.6% of total)

ival-add: 3.0ms (9.6% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

bsearch79.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.15137957831874e+64	1.4250551789389145e+68
17.0ms	1.203448466494294e-290	6.194359719284205e-289
16.0ms	-7.130801496058327e-225	-2.482223898307442e-227
18.0ms	-389.34854237284856	-0.00017690102173315166

Results

52.0ms

512×

valid

Compiler

Compiled 518 to 433 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 11.0ms (31.4% of total)

ival-sqrt: 10.0ms (28.6% of total)

ival-add: 7.0ms (20% of total)

ival-div: 4.0ms (11.4% of total)

ival-sub: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

backward-pass: 0.0ms (0% of total)

bsearch79.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.15137957831874e+64	1.4250551789389145e+68
13.0ms	1.203448466494294e-290	6.194359719284205e-289
21.0ms	-7.130801496058327e-225	-2.482223898307442e-227
20.0ms	-389.34854237284856	-0.00017690102173315166

Results

45.0ms

512×

valid

Compiler

Compiled 518 to 433 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.1% of total)

ival-div: 4.0ms (15.3% of total)

ival-sqrt: 4.0ms (15.3% of total)

ival-sub: 3.0ms (11.5% of total)

ival-add: 3.0ms (11.5% of total)

const: 1.0ms (3.8% of total)

backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	398991553.5552686	4178826479.547466

Results

11.0ms

96×

valid

Compiler

Compiled 111 to 95 computations (14.4% saved)

Precisions

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

ival-sub: 4.0ms (47.8% of total)

ival-mult: 2.0ms (23.9% of total)

ival-div: 1.0ms (12% of total)

ival-sqrt: 1.0ms (12% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	398991553.5552686	4178826479.547466

Results

9.0ms

96×

valid

Compiler

Compiled 105 to 89 computations (15.2% saved)

Precisions

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

ival-mult: 3.0ms (50.7% of total)

ival-div: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

ival-sqrt: 1.0ms (16.9% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness4.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 323 to 209 computations (35.3% saved)

preprocess132.0ms (0.8%)

Compiler: Compiled 716 to 472 computations (34.1% saved)

analyze19.0ms (0.1%)

sample1.5s (9.3%)

preprocess487.0ms (3.1%)

explain162.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize438.0ms (2.8%)

series25.0ms (0.2%)

rewrite603.0ms (3.8%)

simplify459.0ms (2.9%)

eval231.0ms (1.5%)

prune110.0ms (0.7%)

localize1.6s (10%)

series118.0ms (0.7%)

rewrite702.0ms (4.5%)

simplify973.0ms (6.2%)

eval557.0ms (3.5%)

prune254.0ms (1.6%)

localize1.1s (7.2%)

series44.0ms (0.3%)

rewrite638.0ms (4.1%)

simplify743.0ms (4.7%)

eval478.0ms (3%)

prune283.0ms (1.8%)

localize514.0ms (3.3%)

series22.0ms (0.1%)

rewrite640.0ms (4.1%)

simplify765.0ms (4.9%)

eval477.0ms (3%)

prune727.0ms (4.6%)

regimes81.0ms (0.5%)

regimes33.0ms (0.2%)

regimes128.0ms (0.8%)

regimes32.0ms (0.2%)

regimes31.0ms (0.2%)

regimes73.0ms (0.5%)

regimes22.0ms (0.1%)

regimes52.0ms (0.3%)

regimes35.0ms (0.2%)

regimes13.0ms (0.1%)

regimes43.0ms (0.3%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes1.0ms (0%)

bsearch18.0ms (0.1%)

bsearch22.0ms (0.1%)

bsearch22.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch75.0ms (0.5%)

bsearch79.0ms (0.5%)

bsearch79.0ms (0.5%)

bsearch16.0ms (0.1%)

bsearch14.0ms (0.1%)

soundness4.0ms (0%)

preprocess132.0ms (0.8%)

end0.0ms (0%)

Profiling