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

analyze29.0ms (0.3%)

Memory

-20.1MiB live, 18.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.6s (15.7%)

Memory

45.6MiB live, 1 419.6MiB allocated

Samples

1.2s	8 256×	0	valid
17.0ms	267×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 847.0ms

ival-mult: 338.0ms (39.9% of total)

ival-sqrt: 209.0ms (24.7% of total)

ival-div: 102.0ms (12% of total)

ival-sub: 90.0ms (10.6% of total)

ival-add: 87.0ms (10.3% of total)

exact: 11.0ms (1.3% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

preprocess323.0ms (3.2%)

Memory

-18.2MiB live, 262.1MiB allocated

Algorithm

2×	egg-herbie

Rules

3 216×	`accelerator-lowering-fma.f32`
3 216×	`accelerator-lowering-fma.f64`
1 344×	`-lowering-.f32`
1 344×	`-lowering-.f64`
980×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain138.0ms (1.4%)

Memory

-11.1MiB live, 292.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 134 to 52 computations (61.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.8% of total)

ival-div: 4.0ms (17.7% of total)

ival-sqrt: 4.0ms (17.7% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

simplify219.0ms (2.2%)

Memory

-11.0MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Rules

3 216×	`accelerator-lowering-fma.f32`
3 216×	`accelerator-lowering-fma.f64`
1 344×	`-lowering-.f32`
1 344×	`-lowering-.f64`
546×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	27	41
2	68	41
3	181	41
4	319	41
5	422	41
6	838	41
7	1693	41
8	2614	41
9	3347	41
10	3533	41
11	3563	41
12	3564	41
13	3564	41
14	3766	41
15	4011	41
16	4505	41
17	4505	41
18	4505	41
0	4505	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.3%)

Memory

22.9MiB live, 100.1MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

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

ival-mult: 4.0ms (36.4% of total)

ival-div: 2.0ms (18.2% of total)

ival-sqrt: 2.0ms (18.2% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-23.8MiB live, 17.2MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

21 calls:

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

rewrite295.0ms (2.9%)

Memory

1.4MiB live, 596.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 628×	`accelerator-lowering-fma.f32`
5 628×	`accelerator-lowering-fma.f64`
4 000×	`-lowering-.f32`
4 000×	`-lowering-.f64`
2 686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	59	26
2	514	26
3	6462	26
0	8281	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 202

Calls

Call 1

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

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

simplify278.0ms (2.8%)

Memory

6.4MiB live, 413.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 212×	`accelerator-lowering-fma.f32`
9 212×	`accelerator-lowering-fma.f64`
4 246×	`-lowering-.f32`
4 246×	`-lowering-.f64`
2 696×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval57.0ms (0.6%)

Memory: 9.6MiB live, 47.6MiB allocated
Compiler: Compiled 6 632 to 753 computations (88.6% saved)

prune61.0ms (0.6%)

Memory

-23.3MiB live, 58.1MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	266	20	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	21	287

Accuracy

100.0%

Counts

287 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
▶	99.4%	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
	99.4%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
	65.7%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
	73.6%	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (-.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
	99.3%	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
	57.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
	60.8%	(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
	99.3%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
▶	99.3%	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
	61.6%	(.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 (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
	62.1%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
	99.4%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	62.0%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
▶	61.6%	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
▶	39.1%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	68.6%	(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
	36.8%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 706 to 462 computations (34.6% saved)

simplify245.0ms (2.4%)

Memory

18.6MiB live, 95.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	320	(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓	cost-diff	960	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓	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) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓	cost-diff	128	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	cost-diff	0	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
✓	cost-diff	320	(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))
✓	cost-diff	960	(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))

Rules

3 184×	`accelerator-lowering-fma.f32`
3 184×	`accelerator-lowering-fma.f64`
1 312×	`-lowering-.f32`
1 312×	`-lowering-.f64`
666×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	186
1	71	165
2	139	165
3	286	165
4	361	165
5	405	165
6	555	165
7	903	165
8	1609	165
9	2449	165
10	3430	165
11	3600	165
12	3715	165
13	4083	165
14	4152	165
15	4276	165
16	4333	165
17	4333	165
18	4333	165
19	4333	165
0	4333	162

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize156.0ms (1.5%)

Memory

3.5MiB live, 81.6MiB allocated

Localize:

Found 19 expressions of interest:

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

Samples

104.0ms

256×

valid

Compiler

Compiled 181 to 30 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

const: 52.0ms (60.6% of total)

ival-mult: 22.0ms (25.7% of total)

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

ival-div: 4.0ms (4.7% of total)

ival-sqrt: 2.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

18 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* (* (+ (/ 1/9 x) -1) 3) (sqrt x)) (* (sqrt x) (* 3 y)))
1.0ms	x	@	-inf	(+ (* (* (+ (/ 1/9 x) -1) 3) (sqrt x)) (* (sqrt x) (* 3 y)))
1.0ms	x	@	0	(+ (* (* (+ (/ 1/9 x) -1) 3) (sqrt x)) (* (sqrt x) (* 3 y)))
1.0ms	y	@	0	(+ (* (* (+ (/ 1/9 x) -1) 3) (sqrt x)) (* (sqrt x) (* 3 y)))
0.0ms	x	@	-inf	(* (sqrt x) (+ -3 (/ 1/3 x)))

rewrite693.0ms (6.9%)

Memory

11.3MiB live, 326.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 046×	`accelerator-lowering-fma.f32`
8 046×	`accelerator-lowering-fma.f64`
4 390×	`-lowering-.f32`
4 390×	`-lowering-.f64`
3 868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	138
1	160	117
2	1224	117
0	8350	114

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 030

Calls

Call 1

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

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

simplify488.0ms (4.8%)

Memory

-1.6MiB live, 600.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 986×	`accelerator-lowering-fma.f32`
8 986×	`accelerator-lowering-fma.f64`
5 252×	`-lowering-.f32`
5 252×	`-lowering-.f64`
2 298×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2652
1	413	2624
2	1349	2514
3	3454	2490
0	8316	2358

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval304.0ms (3%)

Memory: -15.9MiB live, 604.7MiB allocated
Compiler: Compiled 43 327 to 2 506 computations (94.2% saved)

prune165.0ms (1.6%)

Memory

-9.3MiB live, 520.6MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 642	24	1 666
Fresh	11	4	15
Picked	3	2	5
Done	1	0	1
Total	1 657	30	1 687

Accuracy

100.0%

Counts

1 687 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
	74.2%	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
	99.4%	(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
▶	61.7%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
	62.1%	(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	79.9%	(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64))) x)
	99.3%	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))
	99.3%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	99.3%	(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) #s(literal 3 binary64))
▶	61.6%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	99.3%	(.f64 (.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))
	36.6%	(.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
	74.2%	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
	86.3%	(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) y))) #s(literal 3 binary64))
	39.1%	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
	54.8%	(.f64 (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	62.1%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
	39.1%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
	62.0%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
▶	99.4%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
	61.2%	(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))
	61.6%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
▶	36.7%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
	61.6%	(.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))))
✓	61.6%	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
	61.6%	(.f64 (sqrt.f64 x) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
▶	25.4%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	39.1%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	36.6%	(.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
	36.8%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 716 to 542 computations (24.3% saved)

simplify236.0ms (2.3%)

Memory

2.9MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 216×	`accelerator-lowering-fma.f32`
3 216×	`accelerator-lowering-fma.f64`
1 344×	`-lowering-.f32`
1 344×	`-lowering-.f64`
554×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
1	48	107
2	84	107
3	165	103
4	377	103
5	866	103
6	1809	103
7	3129	103
8	3553	103
9	3674	103
10	4120	103
11	4222	103
12	4246	103
13	4356	103
14	4404	103
15	4404	103
16	4564	103
17	5054	103
18	5054	103
19	5054	103
0	5054	101

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize129.0ms (1.3%)

Memory

3.0MiB live, 202.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
✓	accuracy	99.1%	(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.4%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))

Samples

62.0ms	226×	0	valid
6.0ms	14×	2	valid
5.0ms	16×	1	valid

Compiler

Compiled 107 to 25 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 28.0ms (50.6% of total)

ival-mult: 12.0ms (21.7% of total)

const: 7.0ms (12.7% of total)

ival-add: 4.0ms (7.2% of total)

ival-sub: 2.0ms (3.6% of total)

ival-sqrt: 2.0ms (3.6% of total)

adjust: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series10.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

14 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite341.0ms (3.4%)

Memory

30.9MiB live, 611.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 680×	`accelerator-lowering-fma.f32`
8 680×	`accelerator-lowering-fma.f64`
4 062×	`-lowering-.f32`
4 062×	`-lowering-.f64`
3 978×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	81
1	119	78
2	1001	76
0	8604	73

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 674

Calls

Call 1

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

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

simplify461.0ms (4.6%)

Memory

-14.9MiB live, 559.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 538×	`accelerator-lowering-fma.f32`
13 538×	`accelerator-lowering-fma.f64`
4 676×	`-lowering-.f32`
4 676×	`-lowering-.f64`
2 584×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1319
1	284	1310
2	880	1283
3	2621	1283
4	6626	1283
0	8047	1213

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval124.0ms (1.2%)

Memory: 14.4MiB live, 238.6MiB allocated
Compiler: Compiled 17 485 to 2 067 computations (88.2% saved)

prune123.0ms (1.2%)

Memory

-35.6MiB live, 252.9MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 010	7	1 017
Fresh	5	18	23
Picked	1	4	5
Done	0	2	2
Total	1 016	31	1 047

Accuracy

100.0%

Counts

1 047 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
▶	74.2%	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
▶	99.4%	(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
✓	61.7%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
	62.1%	(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	61.2%	(/.f64 (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶	36.7%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	99.4%	(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))))
	36.8%	(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
	99.3%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	99.3%	(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) #s(literal 3 binary64))
	36.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
	36.7%	(.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	61.6%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	36.6%	(.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
	74.2%	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
	86.3%	(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) y))) #s(literal 3 binary64))
	39.1%	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
	54.8%	(.f64 (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	62.1%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
▶	39.1%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
	62.0%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
▶	74.3%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (neg.f64 y) (/.f64 #s(literal 1/3 binary64) x)))
	61.2%	(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))
	61.6%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓	36.7%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓	61.6%	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
	61.6%	(.f64 (sqrt.f64 x) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
✓	25.4%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	39.1%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	36.8%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 658 to 497 computations (24.5% saved)

simplify97.0ms (1%)

Memory

29.1MiB live, 106.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	960	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (neg.f64 y) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	128	(fma.f64 #s(literal -3 binary64) (neg.f64 y) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
✓	cost-diff	0	(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	960	(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))

Rules

1 600×	`accelerator-lowering-fma.f32`
1 600×	`accelerator-lowering-fma.f64`
672×	`-lowering-.f32`
672×	`-lowering-.f64`
320×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
1	54	124
2	92	124
3	171	124
4	264	124
5	394	124
6	663	124
7	1060	124
8	1626	124
9	1893	124
10	1989	124
11	2323	124
12	2384	124
13	2384	124
0	2384	120

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize101.0ms (1%)

Memory

-3.4MiB live, 110.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.4%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (neg.f64 y) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
✓	accuracy	99.4%	(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
✓	accuracy	99.8%	(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.5%	(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))

Samples

50.0ms	230×	0	valid
12.0ms	13×	1	valid
4.0ms	9×	2	valid
2.0ms	4×	3	valid

Compiler

Compiled 130 to 26 computations (80% saved)

Precisions

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

ival-mult: 23.0ms (56.1% of total)

ival-add: 5.0ms (12.2% of total)

const: 4.0ms (9.8% of total)

ival-div: 4.0ms (9.8% of total)

ival-sqrt: 2.0ms (4.9% of total)

adjust: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

15 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite479.0ms (4.7%)

Memory

-6.2MiB live, 771.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 826×	`accelerator-lowering-fma.f32`
18 826×	`accelerator-lowering-fma.f64`
6 044×	`-lowering-.f32`
6 044×	`-lowering-.f64`
3 200×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	93
1	123	87
2	958	85
0	9105	81

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 707

Calls

Call 1

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

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

simplify338.0ms (3.3%)

Memory

18.2MiB live, 458.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 186×	`accelerator-lowering-fma.f32`
9 186×	`accelerator-lowering-fma.f64`
5 066×	`-lowering-.f32`
5 066×	`-lowering-.f64`
2 108×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1940
1	314	1940
2	981	1864
3	2743	1861
4	7554	1861
0	8033	1769

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval351.0ms (3.5%)

Memory: -112.7MiB live, 233.0MiB allocated
Compiler: Compiled 21 046 to 1 468 computations (93% saved)

prune160.0ms (1.6%)

Memory

-10.6MiB live, 265.2MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	1 144	5	1 149
Fresh	4	16	20
Picked	1	4	5
Done	1	5	6
Total	1 150	30	1 180

Accuracy

100.0%

Counts

1 180 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.2%	(fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
	74.3%	(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (/.f64 (sqrt.f64 x) (.f64 x #s(literal 3 binary64))))
✓	99.4%	(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
	62.1%	(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
✓	36.7%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	74.2%	(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
	36.8%	(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
	74.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
	99.3%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	74.3%	(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
	36.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
	36.7%	(.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	61.6%	(.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	36.6%	(.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
	74.2%	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
	86.3%	(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal 1/9 binary64) (*.f64 x y)) y))) #s(literal 3 binary64))
	39.1%	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
	54.8%	(.f64 (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	62.1%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
✓	39.1%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
	62.0%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
	61.2%	(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))
	61.6%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓	36.7%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓	61.6%	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
	61.6%	(.f64 (sqrt.f64 x) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
✓	25.4%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	39.1%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	58.9%	(.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	36.8%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 037 to 416 computations (59.9% saved)

regimes51.0ms (0.5%)

Memory

23.8MiB live, 104.0MiB allocated

Counts

57 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
16.0ms	x
15.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))

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)

regimes33.0ms (0.3%)

Memory

-6.4MiB live, 68.0MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
10.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
9.0ms	y

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes26.0ms (0.3%)

Memory

7.8MiB live, 49.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
7.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
7.0ms	x

Results

Accuracy	Segments	Branch
97.7%	2	`x`
98.8%	3	`y`
96.8%	2	`(.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)

regimes19.0ms (0.2%)

Memory

-3.3MiB live, 35.5MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

8.0ms	y
5.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
93.3%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
89.7%	3	`y`
85.6%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-18.3MiB live, 20.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
62.1%	1	`x`
62.1%	1	`y`
62.1%	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)

regimes8.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(.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)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
62.0%	1	`y`
62.0%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
62.0%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

-20.5MiB live, 17.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
2.0ms	(.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)))
2.0ms	x

Results

Accuracy	Segments	Branch
61.6%	3	`y`
57.6%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`
43.6%	3	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
61.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
25.4%	1	`x`
25.4%	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)))`
25.4%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch20.0ms (0.2%)

Memory

-28.1MiB live, 29.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0007769364158885776	0.12971248938441182

Samples

15.0ms

112×

valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 9.0ms (71.8% of total)

ival-mult: 2.0ms (16% of total)

ival-div: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.418478945197066e+151	7.702340362791346e+155
0.0ms	-5.817734180700724e+19	-32343697863965557000.0

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.418478945197066e+151	7.702340362791346e+155
0.0ms	-0.15494425643043946	11.875135304173819

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch64.0ms (0.6%)

Memory

6.8MiB live, 45.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0015020383415588155	0.12369462035076541
50.0ms	-3.588135092329618e-9	-2.709980904730056e-15

Samples

53.0ms

256×

valid

Compiler

Compiled 275 to 225 computations (18.2% saved)

Precisions

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

ival-mult: 4.0ms (37.1% of total)

ival-div: 2.0ms (18.5% of total)

ival-sqrt: 2.0ms (18.5% of total)

ival-sub: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch68.0ms (0.7%)

Memory

-15.0MiB live, 23.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	0.0015020383415588155	0.12369462035076541
14.0ms	-3.588135092329618e-9	-2.709980904730056e-15

Samples

57.0ms

256×

valid

Compiler

Compiled 275 to 225 computations (18.2% saved)

Precisions

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

ival-sqrt: 42.0ms (81.9% of total)

ival-mult: 4.0ms (7.8% of total)

ival-div: 2.0ms (3.9% of total)

ival-sub: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch203.0ms (2%)

Memory

16.1MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
185.0ms	0.0015020383415588155	0.12369462035076541
14.0ms	-3.588135092329618e-9	-2.709980904730056e-15

Samples

17.0ms

256×

valid

Compiler

Compiled 275 to 225 computations (18.2% saved)

Precisions

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

ival-mult: 4.0ms (36.4% of total)

ival-div: 2.0ms (18.2% of total)

ival-sqrt: 2.0ms (18.2% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Memory

-21.9MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
14×	`unsub-neg_binary64`
14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	242
1	86	242
2	94	242
3	100	242
4	108	242
5	120	242

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -50000000000000000000 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

Outputs
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -50000000000000000000 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -50000000000000000000 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -8583373319263867/2417851639229258349412352 binary64)) (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

soundness1.4s (13.8%)

Memory

44.5MiB live, 980.8MiB allocated

Rules

18 826×	`accelerator-lowering-fma.f32`
18 826×	`accelerator-lowering-fma.f64`
13 538×	`accelerator-lowering-fma.f32`
13 538×	`accelerator-lowering-fma.f64`
9 212×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1319
1	284	1310
2	880	1283
3	2621	1283
4	6626	1283
0	8047	1213
0	24	93
1	123	87
2	958	85
0	9105	81
0	72	570
1	195	543
2	610	543
3	2210	541
4	6078	541
0	8442	509
0	12	32
1	59	26
2	514	26
3	6462	26
0	8281	25
0	28	138
1	160	117
2	1224	117
0	8350	114
0	144	2652
1	413	2624
2	1349	2514
3	3454	2490
0	8316	2358

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

Compiler

Compiled 507 to 261 computations (48.5% saved)

preprocess104.0ms (1%)

Memory: 20.0MiB live, 97.0MiB allocated
Compiler: Compiled 568 to 166 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze29.0ms (0.3%)

sample1.6s (15.7%)

preprocess323.0ms (3.2%)

explain138.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify219.0ms (2.2%)

localize33.0ms (0.3%)

series11.0ms (0.1%)

rewrite295.0ms (2.9%)

simplify278.0ms (2.8%)

eval57.0ms (0.6%)

prune61.0ms (0.6%)

simplify245.0ms (2.4%)

localize156.0ms (1.5%)

series14.0ms (0.1%)

rewrite693.0ms (6.9%)

simplify488.0ms (4.8%)

eval304.0ms (3%)

prune165.0ms (1.6%)

simplify236.0ms (2.3%)

localize129.0ms (1.3%)

series10.0ms (0.1%)

rewrite341.0ms (3.4%)

simplify461.0ms (4.6%)

eval124.0ms (1.2%)

prune123.0ms (1.2%)

simplify97.0ms (1%)

localize101.0ms (1%)

series8.0ms (0.1%)

rewrite479.0ms (4.7%)

simplify338.0ms (3.3%)

eval351.0ms (3.5%)

prune160.0ms (1.6%)

regimes51.0ms (0.5%)

regimes33.0ms (0.3%)

regimes26.0ms (0.3%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch20.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch64.0ms (0.6%)

bsearch68.0ms (0.7%)

bsearch203.0ms (2%)

simplify15.0ms (0.2%)

soundness1.4s (13.8%)

preprocess104.0ms (1%)

end0.0ms (0%)

Profiling