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

analyze20.0ms (0.2%)

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 13 computations (23.5% saved)

Precisions

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

ival-mult: 2.0ms (28.4% of total)

ival-div: 1.0ms (14.2% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

ival-sqrt: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

sample1.1s (10.4%)

Results

823.0ms	8256×	0	valid
44.0ms	250×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-mult: 226.0ms (41.1% of total)

ival-sqrt: 92.0ms (16.7% of total)

ival-div: 90.0ms (16.4% of total)

ival-sub: 67.0ms (12.2% of total)

ival-add: 52.0ms (9.5% of total)

const: 20.0ms (3.6% of total)

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

Bogosity

preprocess398.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

2026×	`fnmsub-define`
1940×	`sum5-define`
1884×	`sum3-define`
1802×	`fma-define`
1672×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	86
1	96	72
2	356	70
3	1486	68
4	5496	68
0	12	13
1	28	11
2	72	11
3	200	11
4	426	11
5	613	11
6	1266	11
7	2885	11
8	6032	11
9	7660	11
10	7847	11
11	7877	11
12	7878	11
13	7878	11
0	8222	11

Stop Event

1×	iter limit
1×	node limit
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 #s(literal 3 binary64) y) (+.f64 #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))
(* (sqrt x) (* 3 (sum3 y (/ 1/9 x) -1)))
(* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1))
(* (sqrt (neg x)) (* 3 (sum3 y (/ -1/9 x) -1)))
(* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1))
(* (sqrt x) (fnmsub 3 (- y (/ 1/9 x)) 3))
(neg (* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1)))
(* (sqrt (neg x)) (* (sum3 y (/ -1/9 x) -1) -3))
(neg (* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1)))
(* (sqrt x) (sum3 3 (/ -1/3 x) (* 3 y)))
(* (* 3 (sqrt y)) (- (+ x (/ 1 (* y 9))) 1))
(* (sqrt y) (sum3 -3 (* 3 x) (/ 1/3 y)))

explain125.0ms (1.1%)

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

78.0ms

512×

valid

Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 11.0ms (37.1% of total)

ival-sqrt: 8.0ms (27% of total)

ival-div: 4.0ms (13.5% of total)

ival-sub: 3.0ms (10.1% of total)

ival-add: 3.0ms (10.1% of total)

const: 1.0ms (3.4% 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)))
▶	99.4%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #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)))

▶

99.4%

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify238.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2026×	`fnmsub-define`
1944×	`fma-define`
1672×	`fma-lowering-fma.f32`
1672×	`fma-lowering-fma.f64`
1344×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	48	76
2	126	76
3	315	76
4	603	76
5	760	76
6	1438	76
7	3042	76
8	6195	76
9	7831	76
0	8010	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize113.0ms (1%)

Localize:

Found 8 expressions of interest:

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

Results

62.0ms	243×	0	valid
20.0ms	6×	1	valid
5.0ms	7×	2	valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 26.0ms (56.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (10.9% of total)

ival-div: 4.0ms (8.7% of total)

ival-add: 4.0ms (8.7% of total)

ival-sqrt: 3.0ms (6.5% of total)

const: 1.0ms (2.2% of total)

backward-pass: 1.0ms (2.2% of total)

ival-sub: 1.0ms (2.2% of total)

series15.0ms (0.1%)

Counts

9 → 156

Calls

Call 1

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

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 (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 (/ 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 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (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 (* 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 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 (/ 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)))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 1 (* x 9))
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))))

rewrite357.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2202×	`-lowering-.f32`
2202×	`-lowering-.f64`
1840×	`fnmsub-define`
1270×	`/-lowering-/.f32`
1270×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	63	50
2	215	50
3	690	50
4	1757	50
5	5723	50
0	8901	50

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 585

Calls

Call 1

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

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

simplify224.0ms (2%)

Algorithm

1×	egg-herbie

Rules

4368×	`-lowering-.f32`
4368×	`-lowering-.f64`
1720×	`fnmadd-define`
948×	`associate-r`
944×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1111
1	351	1078
2	1169	1042
3	4149	1036
0	8312	1036

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval117.0ms (1.1%)

Compiler: Compiled 13331 to 1815 computations (86.4% saved)

prune100.0ms (0.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	806	18	824
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	806	20	826

Accuracy

100.0%

Counts

826 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
	66.4%	(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x)
	99.2%	(.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	99.3%	(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
	99.3%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
	99.4%	(.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶	99.4%	(.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	99.4%	(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶	64.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #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)))
	61.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
	37.9%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
	64.6%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓	99.4%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶	62.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
	64.6%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
	35.9%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
	35.9%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
▶	38.0%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 498 to 385 computations (22.7% saved)

simplify199.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 x (sqrt.f64 x))
✓	cost-diff	128	(.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))

Rules

3002×	`-lowering-.f32`
3002×	`-lowering-.f64`
1974×	`fma-lowering-fma.f32`
1974×	`fma-lowering-fma.f64`
1958×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	144
1	60	144
2	150	144
3	344	142
4	527	139
5	740	139
6	1209	139
7	2165	139
8	4992	139
0	8036	139

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize275.0ms (2.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	99.5%	(.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.1%	(/.f64 x (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
✓	accuracy	99.5%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(pow.f64 x #s(literal -1/2 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	99.5%	(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)

Results

206.0ms	239×	0	valid
13.0ms	10×	2	valid
9.0ms	7×	1	valid

Compiler

Compiled 156 to 27 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 42.0ms (48.5% of total)

ival-pow: 12.0ms (13.8% of total)

ival-div: 10.0ms (11.5% of total)

...c/correct-round.rkt:119:19: 9.0ms (10.4% of total)

ival-add: 5.0ms (5.8% of total)

ival-sqrt: 4.0ms (4.6% of total)

backward-pass: 2.0ms (2.3% of total)

const: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

series19.0ms (0.2%)

Counts

18 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(pow x -1/2)
3.0ms	x	@	-inf	(/ x (sqrt x))
1.0ms	x	@	-inf	(/ (+ (* 3 y) (+ -3 (/ 1/3 x))) (pow x -1/2))
1.0ms	x	@	-inf	(* (* 3 (sqrt x)) (- (/ 1/9 x) 1))
0.0ms	x	@	-inf	(* (sqrt x) (+ (* 3 y) -3))

rewrite277.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2344×	`-lowering-.f32`
2344×	`-lowering-.f64`
2082×	`/-lowering-/.f32`
2082×	`/-lowering-/.f64`
978×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	93
1	98	88
2	393	87
3	2578	84
0	8529	84

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1043

Calls

Call 1

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

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

simplify229.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4646×	`-lowering-.f32`
4646×	`-lowering-.f64`
2356×	`+-lowering-+.f64`
2356×	`+-lowering-+.f32`
1012×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1692
1	339	1622
2	1076	1562
3	3267	1562
0	8175	1562

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval278.0ms (2.5%)

Compiler: Compiled 23783 to 2120 computations (91.1% saved)

prune199.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1639	18	1657
Fresh	8	5	13
Picked	4	1	5
Done	2	0	2
Total	1653	24	1677

Accuracy

100.0%

Counts

1677 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.1%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
▶	38.0%	(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
▶	64.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
	72.1%	(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
	93.7%	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (sqrt.f64 x))
	37.9%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	35.9%	(/.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
	38.0%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
	56.2%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
	38.1%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
	64.6%	(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
	57.7%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) x)
	64.5%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
▶	99.3%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
	35.9%	(.f64 (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 3 binary64) y))
	37.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
	61.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
	64.6%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓	62.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
	35.9%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
▶	27.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
	24.2%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
▶	35.9%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
	38.1%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Compiler

Compiled 460 to 362 computations (21.3% saved)

simplify194.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	192	(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	cost-diff	0	(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	cost-diff	0	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))

Rules

2540×	`-lowering-.f32`
2540×	`-lowering-.f64`
1432×	`fma-lowering-fma.f32`
1432×	`fma-lowering-fma.f64`
1336×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	101
1	43	97
2	105	96
3	209	96
4	411	96
5	952	96
6	2302	96
7	4324	96
0	8038	96

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize149.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal -1/2 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal -1/2 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	accuracy	100.0%	(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓	accuracy	99.6%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	99.3%	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))

Results

113.0ms

256×

valid

Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 13.0ms (31.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (19.4% of total)

ival-mult: 7.0ms (17% of total)

ival-pow: 6.0ms (14.5% of total)

ival-add: 4.0ms (9.7% of total)

ival-sqrt: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

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

series18.0ms (0.2%)

Counts

13 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* 3 (* (sqrt x) y))
1.0ms	x	@	0	(* 3 (* (sqrt x) y))
1.0ms	y	@	0	(* 3 (* (sqrt x) y))
0.0ms	y	@	inf	(* 3 (* (sqrt x) y))
0.0ms	x	@	-inf	(/ (+ (/ 1/3 x) -3) (pow x -1/2))

rewrite374.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2944×	`-lowering-.f32`
2944×	`-lowering-.f64`
2518×	`/-lowering-/.f32`
2518×	`/-lowering-/.f64`
1564×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	81	63
2	350	62
3	2440	62
0	8240	62

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 961

Calls

Call 1

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

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

simplify228.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4990×	`-lowering-.f32`
4990×	`-lowering-.f64`
2586×	`+-lowering-+.f64`
2586×	`+-lowering-+.f32`
1302×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1258
1	276	1213
2	927	1209
3	3109	1183
0	8284	1183

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval295.0ms (2.7%)

Compiler: Compiled 17725 to 2210 computations (87.5% saved)

prune189.0ms (1.7%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1360	15	1375
Fresh	9	9	18
Picked	1	4	5
Done	0	1	1
Total	1370	29	1399

Accuracy

100.0%

Counts

1399 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.1%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
▶	38.1%	(/.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) x)
	35.9%	(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
	35.9%	(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
	27.5%	(/.f64 (/.f64 x #s(literal -1/3 binary64)) (sqrt.f64 x))
✓	38.0%	(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
✓	64.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
	72.1%	(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
▶	93.7%	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (sqrt.f64 x))
	37.9%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	27.5%	(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
	38.0%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
	27.6%	(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))
	30.1%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x #s(literal 1/3 binary64)) y))
	38.1%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
	64.6%	(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
	57.7%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) x)
▶	37.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
	61.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y #s(literal -1 binary64)))
	35.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
	31.7%	(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x #s(literal 1/3 binary64)))
	35.9%	(*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
	27.5%	(*.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 x)) x)
	64.6%	(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
✓	62.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
▶	35.9%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
▶	3.2%	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	27.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	35.9%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))

Compiler

Compiled 470 to 367 computations (21.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

92×	`-lowering-.f32`
92×	`-lowering-.f64`
56×	`fma-lowering-fma.f32`
56×	`fma-define`
56×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	95
1	40	93
2	84	91
3	124	91
4	146	91
5	148	91
0	148	91

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize169.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	99.4%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
✓	accuracy	99.3%	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) x)
✓	accuracy	99.5%	(/.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
✓	accuracy	93.8%	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (sqrt.f64 x))

Results

91.0ms	215×	0	valid
30.0ms	21×	2	valid
13.0ms	19×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 102 to 20 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 19.0ms (37.3% of total)

ival-div: 10.0ms (19.6% of total)

...c/correct-round.rkt:119:19: 9.0ms (17.7% of total)

backward-pass: 6.0ms (11.8% of total)

ival-sqrt: 3.0ms (5.9% of total)

ival-add: 3.0ms (5.9% of total)

const: 1.0ms (2% of total)

series8.0ms (0.1%)

Counts

13 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite369.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`-lowering-.f32`
1858×	`-lowering-.f64`
1364×	`fma-lowering-fma.f32`
1364×	`fma-lowering-fma.f64`
1244×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	78	65
2	390	61
3	2007	61
4	5644	61
0	8199	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 938

Calls

Call 1

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

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

simplify200.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3238×	`-lowering-.f32`
3238×	`-lowering-.f64`
1466×	`+-lowering-+.f64`
1466×	`+-lowering-+.f32`
1128×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1180
1	308	1151
2	976	1151
3	2828	1151
4	7344	1151
0	8036	1151

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval161.0ms (1.5%)

Compiler: Compiled 15968 to 1731 computations (89.2% saved)

prune155.0ms (1.4%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	1329	6	1335
Fresh	1	18	19
Picked	2	3	5
Done	0	5	5
Total	1332	32	1364

Accuracy

100.0%

Counts

1364 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.1%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
	38.0%	(/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 9 binary64)) x)
✓	38.1%	(/.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) x)
	35.9%	(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
	27.5%	(/.f64 (/.f64 x #s(literal -1/3 binary64)) (sqrt.f64 x))
	38.0%	(/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 9 binary64))
✓	38.0%	(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
✓	64.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
	72.1%	(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
	66.4%	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (sqrt.f64 x))
	37.9%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	3.2%	(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
	27.5%	(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
	3.2%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))
	38.0%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
	27.6%	(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))
	30.1%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x #s(literal 1/3 binary64)) y))
	38.1%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
	64.6%	(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
	57.7%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) x)
✓	37.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
	61.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y #s(literal -1 binary64)))
	35.9%	(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
	31.7%	(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x #s(literal 1/3 binary64)))
	35.9%	(*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
	35.9%	(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
	27.5%	(*.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 x)) x)
	64.6%	(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
✓	62.0%	(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
✓	35.9%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y))
✓	27.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	35.9%	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))

Compiler

Compiled 785 to 353 computations (55% saved)

regimes71.0ms (0.6%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	y
19.0ms	(.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)))
16.0ms	x

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes37.0ms (0.3%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
17.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes218.0ms (2%)

Counts

47 → 2

Calls

Call 1

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

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

Calls

2 calls:

202.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
98.7%	2	`x`
98.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes159.0ms (1.5%)

Counts

44 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
88.0%	3	`y`
88.7%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

35 → 2

Calls

Call 1

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

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

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.6%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
72.2%	7	`y`
69.5%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
69.5%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
48.7%	5	`y`
63.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

2.0ms

Results

Accuracy	Segments	Branch
63.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -16.9b remaining (-36.4%)

Threshold costs -16.9b (-36.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
27.6%	1	`y`
27.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00044235199818566196	0.001359794686267041

Results

13.0ms

80×

valid

Compiler

Compiled 141 to 111 computations (21.3% saved)

Precisions

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

ival-sqrt: 7.0ms (66.8% of total)

ival-mult: 2.0ms (19.1% of total)

ival-div: 1.0ms (9.5% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.867920034538973e-9	0.00044235199818566196

Results

12.0ms

128×

valid

Compiler

Compiled 197 to 160 computations (18.8% saved)

Precisions

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

ival-mult: 3.0ms (41.6% of total)

ival-div: 2.0ms (27.7% 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)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.867920034538973e-9	0.00044235199818566196

Results

11.0ms

128×

valid

Compiler

Compiled 197 to 160 computations (18.8% saved)

Precisions

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

ival-mult: 2.0ms (31.8% of total)

ival-div: 1.0ms (15.9% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

ival-sqrt: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.867920034538973e-9	0.00044235199818566196

Results

12.0ms

128×

valid

Compiler

Compiled 173 to 144 computations (16.8% saved)

Precisions

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

ival-sub: 2.0ms (26.9% of total)

ival-mult: 2.0ms (26.9% of total)

ival-div: 1.0ms (13.5% of total)

ival-add: 1.0ms (13.5% of total)

ival-sqrt: 1.0ms (13.5% of total)

const: 0.0ms (0% of total)

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

bsearch89.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.533534804365697e+259	4.705369115787262e+263
38.0ms	2.288798715698681e+112	2.421335903299673e+118
14.0ms	3.0067875781045262e+91	2.053593264250741e+92
15.0ms	9.867920034538973e-9	0.00044235199818566196

Results

44.0ms

496×

valid

Compiler

Compiled 555 to 465 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (44.8% of total)

ival-div: 4.0ms (14.9% of total)

ival-sqrt: 4.0ms (14.9% of total)

ival-sub: 3.0ms (11.2% of total)

ival-add: 3.0ms (11.2% of total)

const: 1.0ms (3.7% of total)

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

bsearch148.0ms (1.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.533534804365697e+259	4.705369115787262e+263
38.0ms	2.288798715698681e+112	2.421335903299673e+118
14.0ms	3.0067875781045262e+91	2.053593264250741e+92
74.0ms	9.867920034538973e-9	0.00044235199818566196

Results

65.0ms

496×

valid

Compiler

Compiled 540 to 450 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 33.0ms (69.4% of total)

ival-div: 4.0ms (8.4% of total)

ival-sqrt: 4.0ms (8.4% of total)

ival-sub: 3.0ms (6.3% of total)

ival-add: 3.0ms (6.3% of total)

const: 1.0ms (2.1% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.867920034538973e-9	0.00044235199818566196

Results

14.0ms

128×

valid

Compiler

Compiled 149 to 128 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (64.1% of total)

ival-div: 1.0ms (10.7% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

ival-sqrt: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.867920034538973e-9	0.00044235199818566196

Results

12.0ms

128×

valid

Compiler

Compiled 149 to 128 computations (14.1% saved)

Precisions

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

ival-mult: 4.0ms (52.6% of total)

ival-div: 1.0ms (13.2% of total)

ival-sub: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

ival-sqrt: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.867920034538973e-9	0.00044235199818566196

Results

11.0ms

128×

valid

Compiler

Compiled 141 to 120 computations (14.9% saved)

Precisions

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

ival-mult: 2.0ms (32.1% of total)

ival-div: 1.0ms (16.1% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

ival-sqrt: 1.0ms (16.1% of total)

const: 0.0ms (0% of total)

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

bsearch87.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
85.0ms	9.867920034538973e-9	0.00044235199818566196

Results

80.0ms

128×

valid

Compiler

Compiled 133 to 112 computations (15.8% saved)

Precisions

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

ival-mult: 72.0ms (94.8% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
12×	`+-commutative_binary64`
4×	`not-or_bool`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	243
1	90	239
2	98	239
3	103	238
4	105	238
5	106	238

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 x #s(literal 3112888062438487/2305843009213693952 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5902958103587057/36893488147419103232 binary64)) (.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))))
(if (<=.f64 x #s(literal 3022314549036573/302231454903657293676544 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 52000000000000000518738104120454744457530477767182226414122467060869613678399657650251890688 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 760000000000000066506424377970098807756388739600540823190261413457744584329479494730213876319834140821746199035904 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 42000000000000001105329369416786282543483991693227008279474335420355717752350954296149825255680952353351868585803953900524293379498430077775585739384949262013649845903385776854809885729225291949827828045248406995315033292830704656088425579450105797865872818176 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 41000000000000002357429622145967606122756951366469051049812648690983609525764845588159922176 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4900000000000000093739144832651626213894204661854171946337231291256785019113467797278052404178739879401516192436846592 binary64)) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 x #s(literal 30999999999999999102974037751011872761470419815283927960221870135631644555177808169543969837524292887402448231810520463674364948565257337167845660753918035810329195019779778763445720801430830599201476698738645494317276481663470860384505293532210372909775777169408 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

Outputs
(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (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 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(if (<=.f64 x #s(literal 3112888062438487/2305843009213693952 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 3112888062438487/2305843009213693952 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) y) x)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5902958103587057/36893488147419103232 binary64)) (.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))))
(if (<=.f64 x #s(literal 5902958103587057/36893488147419103232 binary64)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 3022314549036573/302231454903657293676544 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 52000000000000000518738104120454744457530477767182226414122467060869613678399657650251890688 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 760000000000000066506424377970098807756388739600540823190261413457744584329479494730213876319834140821746199035904 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 42000000000000001105329369416786282543483991693227008279474335420355717752350954296149825255680952353351868585803953900524293379498430077775585739384949262013649845903385776854809885729225291949827828045248406995315033292830704656088425579450105797865872818176 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 52000000000000000518738104120454744457530477767182226414122467060869613678399657650251890688 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 760000000000000066506424377970098807756388739600540823190261413457744584329479494730213876319834140821746199035904 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 42000000000000001105329369416786282543483991693227008279474335420355717752350954296149825255680952353351868585803953900524293379498430077775585739384949262013649845903385776854809885729225291949827828045248406995315033292830704656088425579450105797865872818176 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 41000000000000002357429622145967606122756951366469051049812648690983609525764845588159922176 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4900000000000000093739144832651626213894204661854171946337231291256785019113467797278052404178739879401516192436846592 binary64)) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 x #s(literal 30999999999999999102974037751011872761470419815283927960221870135631644555177808169543969837524292887402448231810520463674364948565257337167845660753918035810329195019779778763445720801430830599201476698738645494317276481663470860384505293532210372909775777169408 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y))))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 41000000000000002357429622145967606122756951366469051049812648690983609525764845588159922176 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4900000000000000093739144832651626213894204661854171946337231291256785019113467797278052404178739879401516192436846592 binary64)) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x))) (if (<=.f64 x #s(literal 30999999999999999102974037751011872761470419815283927960221870135631644555177808169543969837524292887402448231810520463674364948565257337167845660753918035810329195019779778763445720801430830599201476698738645494317276481663470860384505293532210372909775777169408 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 3 binary64) (.f64 y (sqrt.f64 x)))))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))

soundness2.9s (26.8%)

Rules

4646×	`-lowering-.f32`
4646×	`-lowering-.f64`
4368×	`-lowering-.f32`
4368×	`-lowering-.f64`
3238×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	93
1	98	88
2	393	87
3	2578	84
0	8529	84
0	19	52
1	63	50
2	215	50
3	690	50
4	1757	50
5	5723	50
0	8901	50
0	117	1692
1	339	1622
2	1076	1562
3	3267	1562
0	8175	1562
0	22	69
1	81	63
2	350	62
3	2440	62
0	8240	62
0	100	1180
1	308	1151
2	976	1151
3	2828	1151
4	7344	1151
0	8036	1151
0	118	1111
1	351	1078
2	1169	1042
3	4149	1036
0	8312	1036
0	12	13
1	28	11
2	72	11
3	200	11
4	426	11
5	613	11
6	1266	11
7	2885	11
8	6032	11
9	7660	11
10	7847	11
11	7877	11
12	7878	11
13	7878	11
0	8222	11

Stop Event

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

Compiler

Compiled 627 to 391 computations (37.6% saved)

preprocess123.0ms (1.1%)

Compiler: Compiled 570 to 190 computations (66.7% saved)

analyze20.0ms (0.2%)

sample1.1s (10.4%)

preprocess398.0ms (3.6%)

explain125.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify238.0ms (2.2%)

localize113.0ms (1%)

series15.0ms (0.1%)

rewrite357.0ms (3.3%)

simplify224.0ms (2%)

eval117.0ms (1.1%)

prune100.0ms (0.9%)

simplify199.0ms (1.8%)

localize275.0ms (2.5%)

series19.0ms (0.2%)

rewrite277.0ms (2.5%)

simplify229.0ms (2.1%)

eval278.0ms (2.5%)

prune199.0ms (1.8%)

simplify194.0ms (1.8%)

localize149.0ms (1.4%)

series18.0ms (0.2%)

rewrite374.0ms (3.4%)

simplify228.0ms (2.1%)

eval295.0ms (2.7%)

prune189.0ms (1.7%)

simplify11.0ms (0.1%)

localize169.0ms (1.5%)

series8.0ms (0.1%)

rewrite369.0ms (3.4%)

simplify200.0ms (1.8%)

eval161.0ms (1.5%)

prune155.0ms (1.4%)

regimes71.0ms (0.6%)

regimes37.0ms (0.3%)

regimes218.0ms (2%)

regimes159.0ms (1.5%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch89.0ms (0.8%)

bsearch148.0ms (1.4%)

bsearch20.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch87.0ms (0.8%)

simplify13.0ms (0.1%)

soundness2.9s (26.8%)

preprocess123.0ms (1.1%)

end0.0ms (0%)

Profiling