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

analyze0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
100%	50%	0%	0.1%	0%	50%	0%	2

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample865.0ms (9.4%)

Memory

-18.5MiB live, 1 465.6MiB allocated

Samples

637.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

ival-div: 116.0ms (29.3% of total)

ival-mult: 107.0ms (27% of total)

ival-sub: 89.0ms (22.5% of total)

ival-sqrt: 64.0ms (16.2% of total)

exact: 11.0ms (2.8% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess151.0ms (1.6%)

Memory

-28.9MiB live, 103.2MiB allocated

Algorithm

2×	egg-herbie

Rules

736×	`accelerator-lowering-fma.f32`
736×	`accelerator-lowering-fma.f64`
552×	`times-frac`
400×	`-lowering-.f32`
400×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	92
1	86	76
2	255	74
3	691	74
4	1595	74
5	2912	74
6	3497	74
7	3604	74
8	3634	74
9	3638	74
10	3638	74
11	3642	74
0	12	14
1	26	12
2	64	12
3	140	12
4	262	12
5	501	12
6	999	12
7	1265	12
8	1354	12
9	1368	12
10	1371	12
0	1371	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain174.0ms (1.9%)

Memory

2.2MiB live, 158.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions

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

ival-div: 7.0ms (30.6% of total)

ival-mult: 6.0ms (26.3% of total)

ival-sub: 4.0ms (17.5% of total)

ival-sqrt: 4.0ms (17.5% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

simplify59.0ms (0.6%)

Memory

16.1MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

736×	`accelerator-lowering-fma.f32`
736×	`accelerator-lowering-fma.f64`
400×	`-lowering-.f32`
400×	`-lowering-.f64`
186×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	26	40
2	64	40
3	140	40
4	262	40
5	501	40
6	999	40
7	1265	40
8	1354	40
9	1368	40
10	1371	40
0	1371	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize44.0ms (0.5%)

Memory

-7.2MiB live, 31.7MiB allocated

Localize:

Found 4 expressions of interest:

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

20.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 3.0ms (26.4% of total)

ival-mult: 3.0ms (26.4% of total)

ival-sub: 2.0ms (17.6% of total)

ival-sqrt: 2.0ms (17.6% 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

8.6MiB live, 8.6MiB allocated

Counts

6 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite573.0ms (6.2%)

Memory

13.9MiB live, 528.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 710×	`accelerator-lowering-fma.f32`
8 710×	`accelerator-lowering-fma.f64`
5 066×	`-lowering-.f32`
5 066×	`-lowering-.f64`
4 668×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	67	33
2	782	33
0	8398	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 427

Calls

Call 1

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

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

simplify331.0ms (3.6%)

Memory

0.3MiB live, 233.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 662×	`accelerator-lowering-fma.f32`
7 662×	`accelerator-lowering-fma.f64`
2 338×	`-lowering-.f32`
2 338×	`-lowering-.f64`
1 352×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval66.0ms (0.7%)

Memory: 16.4MiB live, 171.5MiB allocated
Compiler: Compiled 16 132 to 1 283 computations (92% saved)

prune78.0ms (0.8%)

Memory

-25.9MiB live, 153.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	509	14	523
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	510	14	524

Accuracy

100.0%

Counts

524 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶	63.9%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	69.2%	(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	94.4%	(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
▶	63.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	38.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))

Compiler

Compiled 402 to 294 computations (26.9% saved)

simplify145.0ms (1.6%)

Memory

9.6MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	cost-diff	0	(*.f64 y #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))

Rules

1 584×	`accelerator-lowering-fma.f32`
1 584×	`accelerator-lowering-fma.f64`
1 024×	`-lowering-.f32`
1 024×	`-lowering-.f64`
498×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	167
1	61	149
2	118	149
3	202	149
4	331	149
5	591	149
6	1246	149
7	1732	149
8	1910	149
9	2161	149
10	2883	149
11	3295	149
12	3339	149
13	3351	149
14	3351	149
15	3357	149
16	3361	149
17	3361	149
0	3361	144

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize180.0ms (2%)

Memory

10.0MiB live, 246.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.6%	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/3 binary64))
✓	accuracy	94.4%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

91.0ms

256×

valid

Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 13.0ms (33.8% of total)

ival-mult: 8.0ms (20.8% of total)

const: 6.0ms (15.6% of total)

ival-sub: 4.0ms (10.4% of total)

ival-add: 3.0ms (7.8% of total)

ival-sqrt: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

-14.7MiB live, 23.9MiB allocated

Counts

18 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite772.0ms (8.4%)

Memory

-5.1MiB live, 826.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 552×	`accelerator-lowering-fma.f32`
10 552×	`accelerator-lowering-fma.f64`
4 796×	`/-lowering-/.f32`
4 796×	`/-lowering-/.f64`
3 442×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122
1	211	106
2	2129	106
0	8330	101

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 043

Calls

Call 1

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

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

simplify488.0ms (5.3%)

Memory

13.5MiB live, 490.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 708×	`accelerator-lowering-fma.f32`
6 708×	`accelerator-lowering-fma.f64`
3 742×	`-lowering-.f32`
3 742×	`-lowering-.f64`
2 268×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	2296
1	266	2289
2	799	2277
3	2087	2277
4	5220	2277
5	7748	2277
0	8645	2176

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval245.0ms (2.7%)

Memory: 4.0MiB live, 507.9MiB allocated
Compiler: Compiled 38 126 to 1 720 computations (95.5% saved)

prune136.0ms (1.5%)

Memory

-22.7MiB live, 361.8MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 562	16	1 578
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	1 571	21	1 592

Accuracy

100.0%

Counts

1 592 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.2%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
	69.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))
	67.0%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
▶	64.0%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
	63.9%	(/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
	49.6%	(/.f64 (fma.f64 x (.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64))))
	33.1%	(/.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
	64.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64))))
	32.7%	(/.f64 #s(literal -1/9 binary64) x)
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	31.2%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	94.4%	(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
	63.2%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
	63.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	63.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	64.0%	(.f64 (fma.f64 y (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
	38.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
▶	31.2%	#s(literal 1 binary64)

Compiler

Compiled 435 to 322 computations (26% saved)

simplify286.0ms (3.1%)

Memory

8.6MiB live, 287.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #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	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))
✓	cost-diff	512	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	1856	(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))

Rules

2 464×	`accelerator-lowering-fma.f32`
2 464×	`accelerator-lowering-fma.f64`
2 288×	`/-lowering-/.f32`
2 288×	`/-lowering-/.f64`
1 932×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	150
1	59	108
2	152	108
3	381	108
4	860	108
5	1416	108
6	2007	108
7	2522	108
8	3451	108
9	3801	108
10	3905	108
11	3933	108
12	3953	108
13	3969	108
14	4806	108
15	5172	108
16	5488	108
17	5594	108
18	5648	108
19	5704	108
20	5980	108
21	6202	108
22	6332	108
23	6344	108
24	6348	108
25	7797	108
0	8057	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize104.0ms (1.1%)

Memory

4.8MiB live, 239.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
✓	accuracy	94.4%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	accuracy	99.7%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)))

Samples

51.0ms	237×	0	valid
17.0ms	19×	5	exit

Compiler

Compiled 145 to 27 computations (81.4% saved)

Precisions

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

ival-mult: 11.0ms (23% of total)

const: 10.0ms (20.9% of total)

ival-div: 8.0ms (16.7% of total)

ival-sub: 5.0ms (10.4% of total)

ival-add: 5.0ms (10.4% of total)

adjust: 3.0ms (6.3% of total)

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

ival-neg: 1.0ms (2.1% of total)

exact: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

13 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite282.0ms (3.1%)

Memory

-9.4MiB live, 549.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 244×	`accelerator-lowering-fma.f32`
6 244×	`accelerator-lowering-fma.f64`
3 414×	`/-lowering-/.f32`
3 414×	`/-lowering-/.f64`
2 756×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	99
1	144	71
2	1418	71
0	9158	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 711

Calls

Call 1

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

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

simplify224.0ms (2.4%)

Memory

-10.6MiB live, 384.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 786×	`accelerator-lowering-fma.f32`
4 786×	`accelerator-lowering-fma.f64`
3 518×	`-lowering-.f32`
3 518×	`-lowering-.f64`
2 152×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1491
1	281	1486
2	824	1474
3	2300	1474
4	5843	1474
0	8178	1395

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval161.0ms (1.7%)

Memory: 27.5MiB live, 334.4MiB allocated
Compiler: Compiled 25 517 to 2 310 computations (90.9% saved)

prune140.0ms (1.5%)

Memory

-2.5MiB live, 405.6MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 209	10	1 219
Fresh	7	8	15
Picked	1	4	5
Done	0	1	1
Total	1 217	23	1 240

Accuracy

100.0%

Counts

1 240 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 9 binary64)))) #s(literal 1 binary64))
✓	31.2%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
	67.0%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
▶	61.8%	(fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
▶	69.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))
✓	64.0%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
	63.9%	(/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
	49.6%	(/.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) (.f64 y y)) #s(literal -1/81 binary64)) (.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) x))
	33.1%	(/.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
	64.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
	3.0%	(/.f64 #s(literal 1/9 binary64) x)
▶	32.7%	(/.f64 #s(literal -1/9 binary64) x)
	31.2%	(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
▶	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	63.2%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
▶	63.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	63.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	63.9%	(.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
	38.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
✓	31.2%	#s(literal 1 binary64)

Compiler

Compiled 409 to 307 computations (24.9% saved)

simplify97.0ms (1%)

Memory

16.1MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 232×	`accelerator-lowering-fma.f32`
1 232×	`accelerator-lowering-fma.f64`
912×	`-lowering-.f32`
912×	`-lowering-.f64`
714×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	44	88
2	77	88
3	120	88
4	197	88
5	340	88
6	543	88
7	760	88
8	1077	88
9	1810	88
10	2494	88
11	2687	88
12	2727	88
13	2732	88
14	2733	88
15	2735	88
0	2735	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize92.0ms (1%)

Memory

-53.1MiB live, 166.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	99.4%	(/.f64 #s(literal -1/3 binary64) x)
✓	accuracy	94.6%	(fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/3 binary64))
✓	accuracy	99.5%	(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)

Samples

54.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

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

const: 10.0ms (28.6% of total)

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

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

ival-sqrt: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

13 → 228

Calls

Call 1

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

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

57 calls:

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

rewrite496.0ms (5.4%)

Memory

1.3MiB live, 712.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 736×	`accelerator-lowering-fma.f32`
14 736×	`accelerator-lowering-fma.f64`
5 880×	`-lowering-.f32`
5 880×	`-lowering-.f64`
2 814×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	123	64
2	1092	64
0	8475	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 502

Calls

Call 1

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

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

simplify264.0ms (2.9%)

Memory

26.8MiB live, 303.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 774×	`accelerator-lowering-fma.f32`
4 774×	`accelerator-lowering-fma.f64`
3 062×	`-lowering-.f32`
3 062×	`-lowering-.f64`
1 480×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1391
1	163	1391
2	437	1391
3	990	1391
4	3508	1391
5	6336	1391
6	8000	1391
0	8167	1332

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval164.0ms (1.8%)

Memory: -24.6MiB live, 205.1MiB allocated
Compiler: Compiled 11 032 to 1 151 computations (89.6% saved)

prune100.0ms (1.1%)

Memory

11.1MiB live, 217.6MiB allocated

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	818	5	823
Fresh	3	10	13
Picked	0	5	5
Done	0	5	5
Total	821	25	846

Accuracy

100.0%

Counts

846 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
	63.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 9 binary64)))) #s(literal 1 binary64))
✓	31.2%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	67.0%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
✓	61.8%	(fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
	69.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	69.2%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))
✓	64.0%	(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
	63.9%	(/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
	49.6%	(/.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) (.f64 y y)) #s(literal -1/81 binary64)) (.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) x))
	32.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
	33.1%	(/.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
	32.7%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
	3.0%	(/.f64 #s(literal 1/9 binary64) x)
✓	32.7%	(/.f64 #s(literal -1/9 binary64) x)
	31.2%	(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
✓	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	67.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	63.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 binary64))))
✓	63.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	63.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	63.9%	(.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
	32.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
	38.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
✓	31.2%	#s(literal 1 binary64)

Compiler

Compiled 678 to 293 computations (56.8% saved)

regimes83.0ms (0.9%)

Memory

9.1MiB live, 86.4MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
29.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
13.0ms	y

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes53.0ms (0.6%)

Memory

-4.8MiB live, 75.9MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
14.0ms	x
12.0ms	y

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes49.0ms (0.5%)

Memory

-2.9MiB live, 75.1MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
12.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
11.0ms	y

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes60.0ms (0.7%)

Memory

21.7MiB live, 60.2MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
10.0ms	y
10.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes36.0ms (0.4%)

Memory

-30.9MiB live, 48.5MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
12.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
98.1%	2	`y`
98.1%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.4%)

Memory

-7.5MiB live, 31.1MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))

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

Calls

3 calls:

27.0ms	y
7.0ms	x
7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
84.1%	3	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
94.5%	3	`y`
79.4%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory

-16.2MiB live, 22.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes25.0ms (0.3%)

Memory

-17.4MiB live, 28.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes21.0ms (0.2%)

Memory

-15.8MiB live, 22.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
4.0ms	x
4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
63.1%	1	`y`
63.1%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
63.1%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
(/.f64 #s(literal -1/9 binary64) x)
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.5%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
38.1%	3	`y`
62.0%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% 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
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
31.2%	1	`y`
31.2%	1	`x`
31.2%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch21.0ms (0.2%)

Memory

-21.9MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
20.0ms	6.030268316499284e+22	8.617920014558085e+26

Samples

16.0ms

96×

valid

Compiler

Compiled 163 to 131 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 11.0ms (77.2% of total)

ival-sub: 1.0ms (7% of total)

ival-mult: 1.0ms (7% of total)

ival-sqrt: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.8341868646519554e-5	0.005217492437179732

Samples

8.0ms

112×

valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.1% of total)

ival-sub: 1.0ms (20% of total)

ival-mult: 1.0ms (20% of total)

ival-sqrt: 1.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.8341868646519554e-5	0.005217492437179732

Samples

7.0ms

112×

valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 1.0ms (20.7% of total)

ival-sub: 1.0ms (20.7% of total)

ival-mult: 1.0ms (20.7% of total)

ival-sqrt: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Memory

4.3MiB live, 40.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.790686278580674e+58	8.569587466317077e+64
28.0ms	-1.0006130503691475e+90	-2.1540533994107328e+83

Samples

19.0ms

288×

valid

Compiler

Compiled 388 to 314 computations (19.1% saved)

Precisions

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

ival-div: 4.0ms (31.7% of total)

ival-sub: 3.0ms (23.8% of total)

ival-mult: 3.0ms (23.8% of total)

ival-sqrt: 2.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch57.0ms (0.6%)

Memory

-16.5MiB live, 27.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.790686278580674e+58	8.569587466317077e+64
39.0ms	-1.0006130503691475e+90	-2.1540533994107328e+83

Samples

19.0ms

288×

valid

Compiler

Compiled 379 to 305 computations (19.5% saved)

Precisions

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

ival-div: 4.0ms (31.7% of total)

ival-mult: 4.0ms (31.7% of total)

ival-sub: 3.0ms (23.8% of total)

ival-sqrt: 2.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2767.484104885231	0.9986081107715593

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify79.0ms (0.9%)

Memory

-15.6MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`neg-mul-1_binary64`
60×	`unsub-neg_binary64`
44×	`+-commutative_binary64`
42×	`*-commutative_binary64`
34×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	217
1	87	217
2	111	217
3	142	217
4	166	217
5	218	217
6	296	217
7	301	217

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 299999999999999997114318848 binary64)) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 549999999999999990003520572215208890058579374176064744980480 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -390000000000000016058590660149046163230450558682753651795321665251800414801734139904 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 359999999999999985347487938711546494752627127588565467267072 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 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))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -2000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 299999999999999997114318848 binary64)) (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 299999999999999997114318848 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 549999999999999990003520572215208890058579374176064744980480 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -390000000000000016058590660149046163230450558682753651795321665251800414801734139904 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 359999999999999985347487938711546494752627127588565467267072 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 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))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -2000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -2000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.6s (17.5%)

Memory

-3.2MiB live, 885.2MiB allocated

Rules

14 736×	`accelerator-lowering-fma.f32`
14 736×	`accelerator-lowering-fma.f64`
10 552×	`accelerator-lowering-fma.f32`
10 552×	`accelerator-lowering-fma.f64`
8 710×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	2296
1	266	2289
2	799	2277
3	2087	2277
4	5220	2277
5	7748	2277
0	8645	2176
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638
0	22	66
1	123	64
2	1092	64
0	8475	61
0	12	39
1	67	33
2	782	33
0	8398	32
0	28	122
1	211	106
2	2129	106
0	8330	101

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 528 to 305 computations (42.2% saved)

preprocess152.0ms (1.7%)

Memory: 13.2MiB live, 257.7MiB allocated
Compiler: Compiled 514 to 178 computations (65.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample865.0ms (9.4%)

preprocess151.0ms (1.6%)

explain174.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify59.0ms (0.6%)

localize44.0ms (0.5%)

series10.0ms (0.1%)

rewrite573.0ms (6.2%)

simplify331.0ms (3.6%)

eval66.0ms (0.7%)

prune78.0ms (0.8%)

simplify145.0ms (1.6%)

localize180.0ms (2%)

series14.0ms (0.1%)

rewrite772.0ms (8.4%)

simplify488.0ms (5.3%)

eval245.0ms (2.7%)

prune136.0ms (1.5%)

simplify286.0ms (3.1%)

localize104.0ms (1.1%)

series6.0ms (0.1%)

rewrite282.0ms (3.1%)

simplify224.0ms (2.4%)

eval161.0ms (1.7%)

prune140.0ms (1.5%)

simplify97.0ms (1%)

localize92.0ms (1%)

series8.0ms (0.1%)

rewrite496.0ms (5.4%)

simplify264.0ms (2.9%)

eval164.0ms (1.8%)

prune100.0ms (1.1%)

regimes83.0ms (0.9%)

regimes53.0ms (0.6%)

regimes49.0ms (0.5%)

regimes60.0ms (0.7%)

regimes36.0ms (0.4%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes41.0ms (0.4%)

regimes7.0ms (0.1%)

regimes39.0ms (0.4%)

regimes25.0ms (0.3%)

regimes14.0ms (0.1%)

regimes21.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch21.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch46.0ms (0.5%)

bsearch57.0ms (0.6%)

bsearch0.0ms (0%)

simplify79.0ms (0.9%)

soundness1.6s (17.5%)

preprocess152.0ms (1.7%)

end0.0ms (0%)

Profiling