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

analyze11.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB 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)

sample1.2s (12.6%)

Memory

49.0MiB live, 1 714.8MiB allocated

Samples

964.0ms	8 256×	0	valid
16.0ms	253×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 522.0ms

ival-mult: 182.0ms (34.9% of total)

ival-sub: 110.0ms (21.1% of total)

ival-div: 88.0ms (16.9% of total)

ival-sqrt: 78.0ms (15% of total)

ival-add: 46.0ms (8.8% of total)

exact: 10.0ms (1.9% of total)

ival-true: 5.0ms (1% of total)

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

Bogosity

preprocess302.0ms (3.1%)

Memory

-16.9MiB live, 291.3MiB 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)))))

explain207.0ms (2.1%)

Memory

-32.8MiB live, 322.5MiB 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

96.0ms

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 (40% of total)

ival-div: 4.0ms (17.8% of total)

ival-sqrt: 4.0ms (17.8% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% 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

1.6MiB live, 1.6MiB 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)

simplify227.0ms (2.3%)

Memory

0.6MiB live, 171.6MiB 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)

localize42.0ms (0.4%)

Memory

13.9MiB live, 97.1MiB 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	99.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

24.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

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

ival-mult: 4.0ms (33.8% of total)

ival-sqrt: 3.0ms (25.3% of total)

ival-div: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-18.8MiB live, 18.9MiB 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	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)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms	x	@	-inf	(* 3 (sqrt x))
1.0ms	y	@	inf	(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

rewrite361.0ms (3.7%)

Memory

10.7MiB live, 520.0MiB 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)))

simplify412.0ms (4.2%)

Memory

-12.6MiB live, 520.3MiB 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))

eval49.0ms (0.5%)

Memory: 27.1MiB live, 65.6MiB allocated
Compiler: Compiled 6 632 to 753 computations (88.6% saved)

prune44.0ms (0.4%)

Memory

-11.7MiB live, 105.2MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	268	18	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	268	19	287

Accuracy

100.0%

Counts

287 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(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)))
▶	99.5%	(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))))
	65.9%	(/.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)
	60.0%	(.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))))
	99.4%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
	99.4%	(.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
	99.4%	(.f64 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
▶	60.6%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
▶	59.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
	99.3%	(.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)))
	99.4%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (.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))))) #s(literal 1 binary64)))
▶	99.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	63.2%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
	59.0%	(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
▶	41.9%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	67.2%	(.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)))))
	35.4%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 604 to 424 computations (29.8% saved)

simplify255.0ms (2.6%)

Memory

10.9MiB live, 529.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	cost-diff	0	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	128	(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
✓	cost-diff	832	(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))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	cost-diff	0	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))

Rules

8 824×	`accelerator-lowering-fma.f32`
8 824×	`accelerator-lowering-fma.f64`
3 504×	`-lowering-.f32`
3 504×	`-lowering-.f64`
1 508×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	232
1	90	222
2	214	220
3	385	220
4	751	220
5	2220	220
6	6477	220
0	8194	211

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize186.0ms (1.9%)

Memory

-20.3MiB live, 331.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	93.5%	(-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)) (*.f64 y y))
✓	accuracy	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
✓	accuracy	99.9%	(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))))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	99.5%	(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/9 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)

Samples

111.0ms	227×	0	valid
9.0ms	15×	2	valid
5.0ms	10×	1	valid
4.0ms	4×	4	valid

Compiler

Compiled 234 to 36 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 33.0ms (39.2% of total)

ival-mult: 22.0ms (26.2% of total)

ival-div: 9.0ms (10.7% of total)

const: 7.0ms (8.3% of total)

ival-sub: 7.0ms (8.3% of total)

adjust: 3.0ms (3.6% of total)

ival-sqrt: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series43.0ms (0.4%)

Memory

22.9MiB live, 101.5MiB allocated

Counts

18 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ 1/3 x)
4.0ms	y	@	-inf	(* (* 3 (sqrt x)) (- (/ (- (/ 1/9 (* (* x 9) x)) (* y y)) (- (/ 1/9 x) y)) 1))
4.0ms	y	@	inf	(+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y))))
3.0ms	y	@	inf	(* (* 3 (sqrt x)) (- (/ (- (/ 1/9 (* (* x 9) x)) (* y y)) (- (/ 1/9 x) y)) 1))
3.0ms	x	@	inf	(* (* 3 (sqrt x)) (- (/ (- (/ 1/9 (* (* x 9) x)) (* y y)) (- (/ 1/9 x) y)) 1))

rewrite534.0ms (5.5%)

Memory

2.6MiB live, 561.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 500×	`-lowering-.f32`
6 500×	`-lowering-.f64`
4 038×	`/-lowering-/.f32`
4 038×	`/-lowering-/.f64`
3 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	151
1	205	123
2	1923	123
0	8884	118

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 499

Calls

Call 1

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

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

simplify457.0ms (4.7%)

Memory

1.9MiB live, 671.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 468×	`accelerator-lowering-fma.f32`
12 468×	`accelerator-lowering-fma.f64`
4 588×	`-lowering-.f32`
4 588×	`-lowering-.f64`
2 660×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	2817
1	688	2737
2	2275	2710
3	5834	2710
0	8431	2548

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval129.0ms (1.3%)

Memory: -6.4MiB live, 319.7MiB allocated
Compiler: Compiled 20 137 to 1 946 computations (90.3% saved)

prune137.0ms (1.4%)

Memory

6.5MiB live, 208.6MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	968	20	988
Fresh	6	7	13
Picked	2	3	5
Done	1	0	1
Total	977	30	1 007

Accuracy

100.0%

Counts

1 007 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
	63.3%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	65.9%	(/.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)
▶	99.4%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	99.0%	(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
	99.4%	(.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	58.9%	(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
	58.9%	(.f64 (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
	41.9%	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
	89.7%	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) y y))
	38.1%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
	35.3%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
	58.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	59.0%	(.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 (+.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))))) #s(literal 1 binary64)))
	41.9%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
	54.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	58.9%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
▶	99.4%	(.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (fma.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -3 binary64))))
	75.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
✓	99.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	63.2%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
	90.2%	(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
	35.3%	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
▶	59.0%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
▶	23.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	41.9%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	67.2%	(.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)))))
	35.4%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 757 to 558 computations (26.3% saved)

simplify17.0ms (0.2%)

Memory

-8.8MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	832	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (fma.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -3 binary64))))
✓	cost-diff	192	(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -3 binary64))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))

Rules

324×	`accelerator-lowering-fma.f32`
324×	`accelerator-lowering-fma.f64`
260×	`-lowering-.f32`
260×	`-lowering-.f64`
112×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
1	64	127
2	124	127
3	176	127
4	224	127
5	239	127
6	317	127
7	317	127
0	317	123

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize160.0ms (1.6%)

Memory

5.7MiB live, 162.1MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

47.0ms	227×	0	valid
31.0ms	21×	2	valid
3.0ms	8×	1	valid

Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 35.0ms (56.6% of total)

ival-add: 8.0ms (12.9% of total)

const: 7.0ms (11.3% of total)

ival-div: 5.0ms (8.1% of total)

ival-sqrt: 5.0ms (8.1% of total)

adjust: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

15 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite749.0ms (7.7%)

Memory

-15.2MiB live, 669.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 620×	`accelerator-lowering-fma.f32`
9 620×	`accelerator-lowering-fma.f64`
4 254×	`-lowering-.f32`
4 254×	`-lowering-.f64`
3 752×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	102
1	154	94
2	1353	93
0	8438	89

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 807

Calls

Call 1

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

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

simplify588.0ms (6%)

Memory

-30.1MiB live, 420.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 586×	`accelerator-lowering-fma.f32`
11 586×	`accelerator-lowering-fma.f64`
3 766×	`-lowering-.f32`
3 766×	`-lowering-.f64`
2 426×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1872
1	263	1872
2	742	1818
3	2291	1818
4	5916	1818
0	8265	1687

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval223.0ms (2.3%)

Memory: 43.1MiB live, 196.4MiB allocated
Compiler: Compiled 25 316 to 1 898 computations (92.5% saved)

prune345.0ms (3.5%)

Memory

-22.7MiB live, 261.5MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 199	11	1 210
Fresh	10	12	22
Picked	1	4	5
Done	0	3	3
Total	1 210	30	1 240

Accuracy

100.0%

Counts

1 240 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
	58.9%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 x))))
	63.3%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	65.9%	(/.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)
	58.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))))
	58.9%	(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
	99.2%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	99.4%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	63.2%	(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))
	90.2%	(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) (sqrt.f64 x))
	35.3%	(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
▶	99.4%	(.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	58.9%	(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
	41.9%	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
▶	35.3%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
▶	58.9%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	59.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
▶	41.9%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
	54.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	58.9%	(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64) #s(literal -3 binary64)))
✓	99.4%	(.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (fma.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -3 binary64))))
	75.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
✓	99.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	58.9%	(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))
✓	59.0%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
▶	59.0%	(.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal -3 binary64)))
✓	23.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	41.9%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	67.2%	(.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)))))
	35.4%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 648 to 491 computations (24.2% saved)

simplify325.0ms (3.3%)

Memory

14.7MiB live, 171.9MiB 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 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal -3 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 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 #s(literal 1/9 binary64) x)
✓	cost-diff	0	(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
✓	cost-diff	0	(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
✓	cost-diff	128	(.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))

Rules

3 312×	`accelerator-lowering-fma.f32`
3 312×	`accelerator-lowering-fma.f64`
1 440×	`-lowering-.f32`
1 440×	`-lowering-.f64`
848×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136
1	64	124
2	145	124
3	283	124
4	400	124
5	650	124
6	1103	124
7	1781	124
8	2753	124
9	3333	124
10	3956	124
11	4212	124
12	4222	124
13	4222	124
14	4508	124
15	4668	124
16	4828	124
17	5258	124
18	5282	124
19	5282	124
20	5282	124
21	5282	124
22	5282	124
0	5282	123

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize164.0ms (1.7%)

Memory

-24.6MiB live, 173.8MiB allocated

Localize:

Found 19 expressions of interest:

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

Samples

106.0ms

256×

valid

Compiler

Compiled 142 to 29 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 28.0ms (44.1% of total)

const: 23.0ms (36.2% of total)

ival-div: 5.0ms (7.9% of total)

ival-add: 3.0ms (4.7% of total)

ival-sqrt: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

16 → 240

Calls

Call 1

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

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

60 calls:

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

rewrite362.0ms (3.7%)

Memory

20.5MiB live, 737.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 386×	`accelerator-lowering-fma.f32`
5 386×	`accelerator-lowering-fma.f64`
5 136×	`-lowering-.f32`
5 136×	`-lowering-.f64`
4 942×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	134	84
2	1091	84
0	8370	84

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 597

Calls

Call 1

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

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

simplify348.0ms (3.6%)

Memory

-22.5MiB live, 779.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 114×	`accelerator-lowering-fma.f32`
13 114×	`accelerator-lowering-fma.f64`
5 620×	`-lowering-.f32`
5 620×	`-lowering-.f64`
2 578×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1492
1	291	1465
2	881	1465
3	3087	1463
0	8676	1407

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

eval117.0ms (1.2%)

Memory: 19.0MiB live, 287.7MiB allocated
Compiler: Compiled 14 704 to 1 494 computations (89.8% saved)

prune110.0ms (1.1%)

Memory

-11.0MiB live, 277.9MiB allocated

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	962	7	969
Fresh	4	14	18
Picked	3	2	5
Done	1	6	7
Total	970	29	999

Accuracy

100.0%

Counts

999 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
	63.3%	(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
	65.9%	(/.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)
	35.2%	(/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 x #s(literal 9 binary64)))
	35.3%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
	35.3%	(/.f64 (.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/3 binary64)))
	35.3%	(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
	99.2%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	99.4%	(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
	63.2%	(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))
	90.2%	(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) (sqrt.f64 x))
	35.3%	(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) x) #s(literal 3 binary64))
	35.3%	(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
✓	99.4%	(.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	41.9%	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
	35.2%	(.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
	35.3%	(.f64 (.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) x))
✓	59.0%	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓	41.9%	(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
	54.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
	58.9%	(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64) #s(literal -3 binary64)))
	75.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
✓	99.5%	(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
	58.9%	(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))
✓	59.0%	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓	23.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	41.9%	(.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
	67.2%	(.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)))))
	35.4%	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 967 to 410 computations (57.6% saved)

regimes52.0ms (0.5%)

Memory

14.1MiB live, 88.8MiB 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))
(*.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 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 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 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) x) #s(literal 3 binary64))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 x #s(literal 9 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) #s(literal -3 binary64)))
(.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 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(.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) (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 (sqrt.f64 x) #s(literal -3 binary64) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(.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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) (sqrt.f64 x))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.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)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.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 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (fma.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -3 binary64))))
(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))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 x))))
(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)))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 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 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(.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 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 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 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (.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))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))

Calls

3 calls:

17.0ms	x
17.0ms	(.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)))
15.0ms	y

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes30.0ms (0.3%)

Memory

3.7MiB live, 45.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

12.0ms	y
8.0ms	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
8.0ms	x

Results

Accuracy	Segments	Branch
97.3%	2	`x`
98.7%	3	`y`
99.1%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

-23.5MiB live, 14.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

(*.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
99.1%	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)

regimes19.0ms (0.2%)

Memory

33.7MiB live, 33.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

6.0ms	(.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)))
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
87.5%	3	`y`
85.4%	2	`x`
94.0%	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 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

-24.9MiB live, 13.1MiB allocated

Counts

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

Outputs

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

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
94.0%	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)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

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

Outputs

(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 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
92.1%	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)

regimes9.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB 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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.2%	1	`x`
63.2%	1	`y`
63.2%	1	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

-24.0MiB live, 14.3MiB 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 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))

Calls

3 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)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
41.9%	1	`x`
62.8%	3	`y`
57.9%	3	`(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
62.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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
23.6%	1	`x`
23.6%	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)))`
23.6%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	956977.8568735598	4085440218.3325973
0.0ms	-3.910126169717864e+63	-2.7165500158857557e+62

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	956977.8568735598	4085440218.3325973
0.0ms	-1.8120819241744595e+36	-5.061715855695856e+34

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.508128353467612e+152	1.4934577504898094e+156
0.0ms	-1.8120819241744595e+36	-5.061715855695856e+34

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.508128353467612e+152	1.4934577504898094e+156
0.0ms	-3.910126169717864e+63	-2.7165500158857557e+62

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.508128353467612e+152	1.4934577504898094e+156
0.0ms	-0.766525726955896	814.2692372857454

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch31.0ms (0.3%)

Memory

-4.1MiB live, 38.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.5221328401990316e-13	5.090083075207002e-6
14.0ms	-7381935.298685598	-43932.9919048964

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 (36.8% of total)

ival-div: 2.0ms (18.4% of total)

ival-sqrt: 2.0ms (18.4% of total)

ival-sub: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Memory

-1.2MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.5221328401990316e-13	5.090083075207002e-6
17.0ms	-7381935.298685598	-43932.9919048964

Samples

23.0ms

256×

valid

Compiler

Compiled 275 to 225 computations (18.2% saved)

Precisions

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

ival-sqrt: 8.0ms (47.9% of total)

ival-mult: 4.0ms (23.9% of total)

ival-div: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	342
1	91	342
2	95	342
3	98	342
4	101	342
5	104	342

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1000000 binary64)) (.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) 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 -1000000000000000042420637374017961984 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1000000 binary64)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) 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 -1000000000000000042420637374017961984 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #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 -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 -1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(if (<=.f64 y #s(literal -45000 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -45000 binary64)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) 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 -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1000000 binary64)) (.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 1000000 binary64)) (.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) 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 -1000000000000000042420637374017961984 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 1000000 binary64)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -1000000000000000042420637374017961984 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 1000000 binary64)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) 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 -1000000000000000042420637374017961984 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -1000000000000000042420637374017961984 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal -3 binary64) #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 -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -2000000000000000115715919885453939654786757378350080876345294848 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 -1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(if (<=.f64 y #s(literal -45000 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -45000 binary64)) (.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 y #s(literal -45000 binary64)) (.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 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))

soundness1.3s (12.9%)

Memory

8.0MiB live, 758.6MiB allocated

Rules

12 468×	`accelerator-lowering-fma.f32`
12 468×	`accelerator-lowering-fma.f64`
11 586×	`accelerator-lowering-fma.f32`
11 586×	`accelerator-lowering-fma.f64`
9 620×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1872
1	263	1872
2	742	1818
3	2291	1818
4	5916	1818
0	8265	1687
0	26	102
1	154	94
2	1353	93
0	8438	89
0	72	570
1	195	543
2	610	543
3	2210	541
4	6078	541
0	8442	509
0	34	151
1	205	123
2	1923	123
0	8884	118
0	231	2817
1	688	2737
2	2275	2710
3	5834	2710
0	8431	2548

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

Compiler

Compiled 715 to 347 computations (51.5% saved)

preprocess141.0ms (1.4%)

Memory: -17.8MiB live, 152.1MiB allocated
Compiler: Compiled 778 to 182 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	139
1	64	127
2	124	127
3	176	127
4	224	127
5	239	127
6	317	127
7	317	127
0	317	123

Iter	Nodes	Cost
0	26	139
1	64	127
2	124	127
3	176	127
4	224	127
5	239	127
6	317	127
7	317	127
0	317	123

analyze11.0ms (0.1%)

sample1.2s (12.6%)

preprocess302.0ms (3.1%)

explain207.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify227.0ms (2.3%)

localize42.0ms (0.4%)

series10.0ms (0.1%)

rewrite361.0ms (3.7%)

simplify412.0ms (4.2%)

eval49.0ms (0.5%)

prune44.0ms (0.4%)

simplify255.0ms (2.6%)

localize186.0ms (1.9%)

series43.0ms (0.4%)

rewrite534.0ms (5.5%)

simplify457.0ms (4.7%)

eval129.0ms (1.3%)

prune137.0ms (1.4%)

simplify17.0ms (0.2%)

localize160.0ms (1.6%)

series7.0ms (0.1%)

rewrite749.0ms (7.7%)

simplify588.0ms (6%)

eval223.0ms (2.3%)

prune345.0ms (3.5%)

simplify325.0ms (3.3%)

localize164.0ms (1.7%)

series5.0ms (0.1%)

rewrite362.0ms (3.7%)

simplify348.0ms (3.6%)

eval117.0ms (1.2%)

prune110.0ms (1.1%)

regimes52.0ms (0.5%)

regimes30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch31.0ms (0.3%)

bsearch34.0ms (0.4%)

simplify12.0ms (0.1%)

soundness1.3s (12.9%)

preprocess141.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	139
1	64	127
2	124	127
3	176	127
4	224	127
5	239	127
6	317	127
7	317	127
0	317	123