Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample654.0ms (11.6%)

Memory

-4.1MiB live, 980.8MiB allocated

Samples

348.0ms	7 593×	0	valid
53.0ms	287×	2	valid
28.0ms	376×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 183.0ms (70.6% of total)

ival-sub: 49.0ms (18.9% of total)

adjust: 10.0ms (3.9% of total)

exact: 7.0ms (2.7% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain88.0ms (1.6%)

Memory

-9.1MiB live, 149.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))`
-	-	`(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`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

23.0ms	440×	0	valid
5.0ms	38×	2	valid
3.0ms	34×	1	valid

Compiler

Compiled 68 to 25 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 13.0ms (71.1% of total)

ival-sub: 3.0ms (16.4% of total)

adjust: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess69.0ms (1.2%)

Memory

18.5MiB live, 91.5MiB allocated

Algorithm

1×	egg-herbie

Rules

776×	`lower-fma.f64`
776×	`lower-fma.f32`
480×	`lower-*.f32`
474×	`lower-*.f64`
238×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	33	18
2	97	14
3	332	14
4	923	14
5	1333	14
6	1344	14
7	1348	14
8	1348	14
0	7	9
0	11	9
1	21	9
2	46	7
3	99	7
4	196	7
5	285	7
6	380	7
7	581	7
8	682	7
9	769	7
10	943	7
11	1020	7
12	1020	7
13	1020	7
0	1020	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Outputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify87.0ms (1.6%)

Memory

-3.6MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
cost-diff	128	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff	320	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Rules

776×	`lower-fma.f64`
776×	`lower-fma.f32`
480×	`lower-*.f32`
474×	`lower-*.f64`
218×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	21	27
2	46	23
3	99	23
4	196	23
5	285	23
6	380	23
7	581	23
8	682	23
9	769	23
10	943	23
11	1020	23
12	1020	23
13	1020	23
0	1020	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x

Outputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x

localize19.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.05859375	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.1328125	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
accuracy	0.1484375	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

10.0ms	220×	0	valid
2.0ms	19×	2	valid
1.0ms	17×	1	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-mult: 5.0ms (64% of total)

adjust: 1.0ms (12.8% of total)

ival-sub: 1.0ms (12.8% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 6 (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (patch (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) (patch (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
1.0ms	x	@	0	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
1.0ms	x	@	-inf	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

Time

Variable

Point

Expression

1.0ms

inf

((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

1.0ms

((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

1.0ms

-inf

((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

simplify132.0ms (2.3%)

Memory

-22.0MiB live, 96.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
3 012×	`lower-fma.f64`
3 012×	`lower-fma.f32`
1 366×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	82	216
2	169	216
3	406	216
4	986	216
5	1305	216
6	2534	216
7	4986	216
8	6846	216
9	7939	216
0	8285	189

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite349.0ms (6.2%)

Memory

10.8MiB live, 294.4MiB allocated

Rules

15 340×	`lower-fma.f64`
15 340×	`lower-fma.f32`
4 142×	`lower-*.f32`
4 136×	`lower-*.f64`
3 486×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Counts

4 → 850

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 64 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal -4 binary64)) #s(literal 16 binary64)))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x))))))
(.f64 (neg.f64 (.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64))))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (.f64 #s(literal -9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x))) (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (.f64 #s(literal -9 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x)) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (.f64 #s(literal -9 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal 6 binary64))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))
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(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -3 binary64) x)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) x))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))) x))
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(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
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(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))) x))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) x)) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))
(-.f64 (/.f64 (.f64 #s(literal -729 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 36 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 #s(literal -6 binary64) x))))) (/.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 36 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))))))
(-.f64 (/.f64 (.f64 #s(literal -729 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 6 binary64) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))) (/.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 #s(literal 6 binary64) x) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))))
(-.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(-.f64 (.f64 #s(literal 6 binary64) x) (.f64 (*.f64 #s(literal 9 binary64) x) x))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))))
(+.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 #s(literal 6 binary64) x))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))) x))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) x)) #s(literal -3 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) (neg.f64 x)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal -3 binary64) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (*.f64 #s(literal 9 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 6 binary64)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 #s(literal -3 binary64) (.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -3 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(.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)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) x)
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 #s(literal -3 binary64) x))
(/.f64 (.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))

eval204.0ms (3.6%)

Memory: -2.3MiB live, 229.4MiB allocated
Compiler: Compiled 20 468 to 2 296 computations (88.8% saved)

prune159.0ms (2.8%)

Memory

22.4MiB live, 294.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	888	10	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	889	10	899

Accuracy

100.0%

Counts

899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
▶	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
	99.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
	99.7%	(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
▶	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
▶	51.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	50.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 166 to 118 computations (28.9% saved)

simplify47.0ms (0.8%)

Memory

-4.0MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 6 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
cost-diff	0	(*.f64 #s(literal 9 binary64) x)
cost-diff	0	(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
cost-diff	128	(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
cost-diff	0	(*.f64 x #s(literal -9 binary64))
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -9 binary64) (.f64 x x))
cost-diff	320	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))

Rules

872×	`lower-fma.f32`
868×	`lower-fma.f64`
576×	`lower-*.f32`
558×	`lower-*.f64`
180×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	38	112
1	65	109
2	101	101
3	154	101
4	242	101
5	316	101
6	466	101
7	671	101
8	807	101
9	895	101
10	1096	101
11	1154	101
12	1218	101
13	1226	101
14	1230	101
15	1236	101
16	1240	101
0	1240	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
x
#s(literal 6 binary64)
(.f64 #s(literal -9 binary64) (.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
(*.f64 x #s(literal -9 binary64))
x
#s(literal -9 binary64)
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
#s(literal 6 binary64)
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal -3 binary64)
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
x
#s(literal 6 binary64)
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 x #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) x)
x
#s(literal -9 binary64)
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal -3 binary64)
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)

localize88.0ms (1.6%)

Memory

-33.1MiB live, 142.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 6 binary64) x)
accuracy	0.15625	(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
accuracy	0.19140625	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.03125	(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
accuracy	0.1328125	(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.1328125	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy	32.43440263692204	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy	0.1328125	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	31.598242536896212	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.05078125	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.12980007300974952	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

60.0ms	234×	0	valid
4.0ms	11×	2	valid
3.0ms	11×	1	valid

Compiler

Compiled 105 to 25 computations (76.2% saved)

Precisions

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

ival-mult: 22.0ms (74.5% of total)

ival-add: 3.0ms (10.2% of total)

ival-sub: 3.0ms (10.2% of total)

adjust: 1.0ms (3.4% of total)

exact: 1.0ms (3.4% of total)

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

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

series19.0ms (0.3%)

Memory

-9.1MiB live, 38.5MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) (patch (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) (patch (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) (patch (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) (patch (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) (patch (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) (patch (.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 3 binary64)) (patch (.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) x) (patch (.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (- 6 (* 9 x)) (* (- 6 (* 9 x)) x) (* 9 x) (+ (* (* (* x x) 3) -3) (* 6 x)) (* (* x x) 3) (* 6 x))

2.0ms

((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (- 6 (* 9 x)) (* (- 6 (* 9 x)) x) (* 9 x) (+ (* (* (* x x) 3) -3) (* 6 x)) (* (* x x) 3) (* 6 x))

2.0ms

-inf

((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (- 6 (* 9 x)) (* (- 6 (* 9 x)) x) (* 9 x) (+ (* (* (* x x) 3) -3) (* 6 x)) (* (* x x) 3) (* 6 x))

simplify171.0ms (3%)

Memory

29.1MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 050×	`lower-*.f64`
4 050×	`lower-*.f32`
2 898×	`lower-fma.f64`
2 898×	`lower-fma.f32`
1 610×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	800
1	57	800
2	110	800
3	240	800
4	576	800
5	815	800
6	1850	800
7	3901	800
8	5524	800
9	6710	800
10	7625	800
0	8022	728

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)

rewrite461.0ms (8.2%)

Memory

6.7MiB live, 321.4MiB allocated

Rules

12 540×	`lower-fma.f32`
12 536×	`lower-fma.f64`
5 744×	`lower-*.f32`
5 726×	`lower-*.f64`
2 572×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	96
0	38	95
1	128	92
2	744	84
3	7937	84
0	8616	76

Stop Event

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

Counts

14 → 731

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
(*.f64 x #s(literal -9 binary64))
(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(*.f64 #s(literal 9 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 6 binary64) x)

Outputs
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)) #s(literal 36 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) x) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64))) (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64)))))) (-.f64 #s(literal 36 binary64) (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) x) (fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64))) (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64)))) (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64))) #s(literal 46656 binary64))) (fma.f64 (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64))) (-.f64 (.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64))) #s(literal 36 binary64)) #s(literal 1296 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64)) #s(literal 216 binary64)))) (fma.f64 (.f64 #s(literal 36 binary64) x) x (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 216 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64))))) (fma.f64 (.f64 #s(literal 36 binary64) x) x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (.f64 (.f64 #s(literal -54 binary64) (.f64 x x)) x)))) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (.f64 (.f64 #s(literal -54 binary64) (.f64 x x)) x)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 531441 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 216 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6561 binary64) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x))) (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x)))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1296 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x))))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (.f64 (.f64 #s(literal -54 binary64) (*.f64 x x)) x)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x))) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1296 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)))) (.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (.f64 #s(literal 3 binary64) x)) (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64)) #s(literal 36 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (*.f64 x x))))))
(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) x))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)))
(.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64)) #s(literal 36 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64)) #s(literal 36 binary64))) x))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (*.f64 x x))))))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (.f64 #s(literal 36 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 (*.f64 #s(literal -3 binary64) x) x)))
(.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal -3 binary64) x) x (*.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x))))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))) (.f64 (.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))))
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(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x) x) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) (/.f64 x (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 #s(literal 27 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 #s(literal 36 binary64) x) (/.f64 x (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 9 binary64)) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal 81 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal -9 binary64) x) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -9 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 #s(literal -9 binary64) x) x (.f64 #s(literal 6 binary64) x))
(fma.f64 (neg.f64 x) (.f64 #s(literal 9 binary64) x) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal -3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (/.f64 (.f64 x x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal 36 binary64) (/.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 #s(literal 6 binary64) x) (/.f64 (.f64 #s(literal 6 binary64) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -27 binary64)) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (/.f64 (.f64 #s(literal 27 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 9 binary64) x) (neg.f64 x) (.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal 9 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal -3 binary64) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal -3 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -9 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 #s(literal 6 binary64) x (.f64 (.f64 x x) #s(literal -9 binary64)))
(fma.f64 x (/.f64 (.f64 #s(literal 36 binary64) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(fma.f64 x (.f64 #s(literal -9 binary64) x) (.f64 #s(literal 6 binary64) x))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(+.f64 (/.f64 (.f64 #s(literal -36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) x) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))

eval138.0ms (2.4%)

Memory: -16.9MiB live, 227.3MiB allocated
Compiler: Compiled 23 354 to 997 computations (95.7% saved)

prune53.0ms (0.9%)

Memory

20.5MiB live, 133.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	915	2	917
Fresh	2	3	5
Picked	0	5	5
Done	0	0	0
Total	917	10	927

Accuracy

100.0%

Counts

927 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	91.7%	(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
▶	99.7%	(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
✓	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	51.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	50.3%	#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 132 to 93 computations (29.5% saved)

simplify24.0ms (0.4%)

Memory

-24.5MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
cost-diff	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
cost-diff	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
cost-diff	320	(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
cost-diff	0	#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Rules

406×	`lower-*.f32`
394×	`lower-*.f64`
208×	`lower-fma.f32`
198×	`lower-fma.f64`
176×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	123
0	49	117
1	83	114
2	126	114
3	227	114
4	278	114
5	344	114
6	372	114
7	398	114
8	536	114
9	580	114
10	617	114
0	617	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal -3 binary64)
x
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)
(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x)
(fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))
#s(literal -81 binary64)
(*.f64 x x)
x
#s(literal 36 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 9 binary64)
#s(literal 6 binary64)

Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 #s(literal -9 binary64) x) x))
(.f64 (.f64 x x) #s(literal -9 binary64))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(*.f64 x x)
x
#s(literal -9 binary64)
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal -3 binary64)
x
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)
(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)))
(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x)
(fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))
#s(literal -81 binary64)
(*.f64 x x)
x
#s(literal 36 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 9 binary64)
#s(literal 6 binary64)

localize87.0ms (1.6%)

Memory

30.4MiB live, 145.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))
accuracy	0.08203125	(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x)
accuracy	5.271618271301516	(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy	0.2109375	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy	0.3709663190742699	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.1796875	(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.12980007300974952	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	31.783416904273192	#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.1328125	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

33.0ms	176×	0	valid
20.0ms	39×	2	valid
14.0ms	36×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 132 to 35 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 23.0ms (51% of total)

ival-add: 9.0ms (20% of total)

ival-div: 7.0ms (15.5% of total)

adjust: 5.0ms (11.1% of total)

exact: 1.0ms (2.2% of total)

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

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

series40.0ms (0.7%)

Memory

-30.5MiB live, 13.3MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -9 binary64)) (patch (.f64 (.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -9 binary64)) (patch (.f64 (.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -9 binary64)) (patch (.f64 (.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -9 binary64)) (patch (.f64 (.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -9 binary64)) (patch (.f64 (.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/4 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 36 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 36 (* -81 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 36 (* -81 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 36 (* -81 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 36 (taylor 0 x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* -81 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* -81 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* -81 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) (patch #s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -81 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (patch (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -81 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (patch (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

30.0ms

((* (+ (* x -9) 6) x) (+ (* x -9) 6) (+ (* (* (* x x) 3) -3) (* 6 x)) (* (* x x) -9) (* x x) (* (* (+ (* -3 x) 2) x) 3) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6) (/ (* (+ (* -81 (* x x)) 36) x) (+ (* 9 x) 6)) (* (+ (* -81 (* x x)) 36) x) (+ (* -81 (* x x)) 36))

2.0ms

-inf

((* (+ (* x -9) 6) x) (+ (* x -9) 6) (+ (* (* (* x x) 3) -3) (* 6 x)) (* (* x x) -9) (* x x) (* (* (+ (* -3 x) 2) x) 3) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6) (/ (* (+ (* -81 (* x x)) 36) x) (+ (* 9 x) 6)) (* (+ (* -81 (* x x)) 36) x) (+ (* -81 (* x x)) 36))

2.0ms

inf

((* (+ (* x -9) 6) x) (+ (* x -9) 6) (+ (* (* (* x x) 3) -3) (* 6 x)) (* (* x x) -9) (* x x) (* (* (+ (* -3 x) 2) x) 3) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6) (/ (* (+ (* -81 (* x x)) 36) x) (+ (* 9 x) 6)) (* (+ (* -81 (* x x)) 36) x) (+ (* -81 (* x x)) 36))

simplify159.0ms (2.8%)

Memory

1.5MiB live, 169.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 726×	`lower-fma.f64`
4 726×	`lower-fma.f32`
2 462×	`lower-*.f64`
2 462×	`lower-*.f32`
1 460×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	986
1	279	982
2	634	976
3	1466	976
4	3642	976
5	6225	976
0	8170	871

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 2 x)
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 36 x)
(* x (+ 36 (* -81 (pow x 2))))
(* x (+ 36 (* -81 (pow x 2))))
(* x (+ 36 (* -81 (pow x 2))))
36
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -81 (pow x 3))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -81 (pow x 3))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 36 x)
(*.f64 #s(literal 36 binary64) x)
(* x (+ 36 (* -81 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* x (+ 36 (* -81 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* x (+ 36 (* -81 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -3 (pow x 2))
(.f64 (.f64 #s(literal -3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -81 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -81 binary64))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -81 (pow x 2))
(.f64 #s(literal -81 binary64) (.f64 x x))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -3 (pow x 2))
(.f64 (.f64 #s(literal -3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -81 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -81 binary64))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -81 (pow x 2))
(.f64 #s(literal -81 binary64) (.f64 x x))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))

rewrite274.0ms (4.9%)

Memory

-5.8MiB live, 343.1MiB allocated

Rules

11 756×	`lower-fma.f32`
11 746×	`lower-fma.f64`
5 476×	`lower-*.f32`
5 464×	`lower-*.f64`
3 434×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	98
0	49	85
1	182	82
2	1075	82
0	9323	82

Stop Event

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

Counts

14 → 2 076

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x)
(fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))

Outputs
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x))))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) x)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (/.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)))) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (/.f64 x (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64)))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)))) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64)))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 54 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 54 binary64) x)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x)))))
(.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x))
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 54 binary64) x))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(.f64 (/.f64 x (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64))) (/.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 54 binary64) x))))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x))))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 216 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -4 binary64)) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
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(fma.f64 (.f64 x x) (.f64 #s(literal -81 binary64) x) (*.f64 #s(literal 36 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -81 binary64) x) (*.f64 x #s(literal 36 binary64)))
(fma.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -81 binary64)))
(fma.f64 #s(literal 6 binary64) (.f64 #s(literal 6 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal -81 binary64)))
(fma.f64 x (.f64 #s(literal -81 binary64) (.f64 x x)) (*.f64 #s(literal 36 binary64) x))
(fma.f64 x (.f64 #s(literal -81 binary64) (.f64 x x)) (*.f64 x #s(literal 36 binary64)))
(fma.f64 x #s(literal 36 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal -81 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x))
(+.f64 (.f64 #s(literal 36 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal -81 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -81 binary64)) (.f64 #s(literal 36 binary64) x))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -81 binary64)) (.f64 x #s(literal 36 binary64)))
(+.f64 (.f64 x #s(literal 36 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -81 binary64)))
(.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) #s(literal -2916 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (*.f64 x x))))))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)))) (.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)))))
(/.f64 (-.f64 #s(literal 46656 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) #s(literal -2916 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -46656 binary64))) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x))) (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64)))) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 #s(literal 43046721 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1679616 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal 1296 binary64)) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 43046721 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 #s(literal 1679616 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 8503056 binary64)))) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -46656 binary64)) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 282429536481 binary64)) (.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 101559956668416 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 282429536481 binary64) (-.f64 #s(literal 2176782336 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -24794911296 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(literal 1296 binary64))) (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(/.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x)) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))))
(/.f64 (fma.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -46656 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64))) (neg.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 6561 binary64) (*.f64 x x)) #s(literal -2916 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64)) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x #s(literal -1296 binary64)) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64)) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 6561 binary64) (*.f64 x x)) #s(literal -2916 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 46656 binary64)) (fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) #s(literal -2916 binary64)))) (fma.f64 (.f64 #s(literal -531441 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x) #s(literal 46656 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))))
(neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (neg.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)))))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(fma.f64 (.f64 #s(literal -81 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 36 binary64))
(fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))
(fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))
(fma.f64 x (*.f64 #s(literal -81 binary64) x) #s(literal 36 binary64))
(-.f64 (/.f64 #s(literal 1296 binary64) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))
(-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))
(+.f64 (neg.f64 (.f64 #s(literal 81 binary64) (.f64 x x))) #s(literal 36 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) x) x) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (neg.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64)))))
(+.f64 (.f64 #s(literal -81 binary64) (.f64 x x)) #s(literal 36 binary64))
(+.f64 #s(literal 36 binary64) (.f64 (neg.f64 (.f64 #s(literal 81 binary64) x)) x))
(+.f64 #s(literal 36 binary64) (.f64 (neg.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x)) #s(literal 9 binary64)))
(+.f64 #s(literal 36 binary64) (.f64 #s(literal -9 binary64) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(+.f64 #s(literal 36 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 81 binary64)))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) #s(literal -9 binary64)))
(+.f64 #s(literal 36 binary64) (.f64 #s(literal 9 binary64) (.f64 (*.f64 #s(literal -9 binary64) x) x)))
(+.f64 #s(literal 36 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 81 binary64) x)))
(+.f64 #s(literal 36 binary64) (neg.f64 (.f64 #s(literal 81 binary64) (.f64 x x))))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 #s(literal 9 binary64) x) (*.f64 #s(literal -9 binary64) x)))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 #s(literal -9 binary64) x) (*.f64 #s(literal 9 binary64) x)))
(+.f64 #s(literal 36 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))

eval430.0ms (7.6%)

Memory: 68.2MiB live, 627.5MiB allocated
Compiler: Compiled 47 547 to 2 565 computations (94.6% saved)

prune140.0ms (2.5%)

Memory

-54.1MiB live, 307.7MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	2 269	3	2 272
Fresh	0	0	0
Picked	3	2	5
Done	0	5	5
Total	2 272	10	2 282

Accuracy

100.0%

Counts

2 282 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	50.3%	(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
▶	51.2%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
▶	50.2%	(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	51.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	50.3%	#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 78 to 52 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
cost-diff	0	#s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x)
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
cost-diff	0	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))

Rules

62×	`lower-*.f32`
54×	`lower-*.f64`
28×	`*-commutative`
20×	`lower-fma.f32`
18×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	105
0	37	105
1	56	105
2	69	105
3	72	105
0	72	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x)
#s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(literal 3 binary64)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x)
#s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64))
#s(literal 36 binary64)
x
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 9 binary64)
#s(literal 6 binary64)

Outputs
(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64))))
(.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x)
(.f64 #s(approx (+ ( -3 x) 2) (*.f64 x #s(literal -3 binary64))) x)
#s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x))
#s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) x)
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
x
#s(literal 3 binary64)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)))
(.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x)
#s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64))
#s(literal 36 binary64)
x
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
#s(literal 9 binary64)
#s(literal 6 binary64)

localize85.0ms (1.5%)

Memory

-20.3MiB live, 96.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
accuracy	0.08203125	(.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x)
accuracy	5.271618271301516	(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
accuracy	31.657732646326092	#s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64))
accuracy	0.2109375	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
accuracy	31.4104891949259	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.08203125	(.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x)
accuracy	0.1796875	(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
accuracy	32.47416639465859	#s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x))

Samples

27.0ms	182×	0	valid
15.0ms	35×	1	valid
11.0ms	34×	2	valid
2.0ms	5×	3	valid

Compiler

Compiled 87 to 28 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47.2% of total)

ival-add: 7.0ms (17.4% of total)

ival-div: 6.0ms (14.9% of total)

adjust: 4.0ms (9.9% of total)

const: 3.0ms (7.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/4 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 36 x) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 36 (* -81 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 36 (* -81 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 36 (* -81 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 36 (taylor 0 x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* -81 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* -81 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* -81 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -81 (pow x 3)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -81 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -3 x) 2) (.f64 #s(literal -3 binary64) x)) x) (patch (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -3 x) 2) (.f64 #s(literal -3 binary64) x)) (patch #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (.f64 #s(literal -3 binary64) x) (patch (.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -81 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (patch (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -81 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor -inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor -inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81)) (taylor -inf x) (#s(alt #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) (patch #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((* (* (+ (* -3 x) 2) x) 3) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ (* (+ (* -81 (* x x)) 36) x) (+ (* 9 x) 6)) (* (+ (* -81 (* x x)) 36) x) (+ (* -81 (* x x)) 36) (+ (* 9 x) 6))

1.0ms

inf

((* (* (+ (* -3 x) 2) x) 3) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ (* (+ (* -81 (* x x)) 36) x) (+ (* 9 x) 6)) (* (+ (* -81 (* x x)) 36) x) (+ (* -81 (* x x)) 36) (+ (* 9 x) 6))

1.0ms

((* (* (+ (* -3 x) 2) x) 3) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ (* (+ (* -81 (* x x)) 36) x) (+ (* 9 x) 6)) (* (+ (* -81 (* x x)) 36) x) (+ (* -81 (* x x)) 36) (+ (* 9 x) 6))

simplify205.0ms (3.6%)

Memory

17.1MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 734×	`lower-fma.f64`
4 734×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
1 358×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	722
1	277	718
2	606	712
3	1353	712
4	3050	712
5	5733	712
0	8158	634

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 2 x)
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 36 x)
(* x (+ 36 (* -81 (pow x 2))))
(* x (+ 36 (* -81 (pow x 2))))
(* x (+ 36 (* -81 (pow x 2))))
36
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
6
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -81 (pow x 3))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -81 (pow x 3))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))

Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 36 x)
(*.f64 #s(literal 36 binary64) x)
(* x (+ 36 (* -81 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* x (+ 36 (* -81 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* x (+ 36 (* -81 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(+ 36 (* -81 (pow x 2)))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
6
#s(literal 6 binary64)
(+ 6 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(+ 6 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(+ 6 (* 9 x))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -81 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -81 binary64))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 6 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -81 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -81 binary64))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64)) x)
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 6 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))

rewrite262.0ms (4.7%)

Memory

7.2MiB live, 128.2MiB allocated

Rules

7 252×	`lower-fma.f32`
7 250×	`lower-fma.f64`
4 006×	`lower-*.f32`
3 998×	`lower-*.f64`
2 564×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	96
0	37	96
1	130	96
2	780	96
3	6661	96
0	8092	88

Stop Event

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

Counts

10 → 226

Calls

Call 1

Inputs
(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(.f64 #s(approx (+ ( -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x)
#s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x)
#s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))

Outputs
(.f64 (.f64 #s(literal 3 binary64) #s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 #s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64))) x))
(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64))) x) #s(literal 3 binary64))
(.f64 #s(approx (+ ( -3 x) 2) (.f64 x #s(literal -3 binary64))) (.f64 #s(literal 3 binary64) x))
(.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64)))))
(.f64 #s(approx (+ ( -3 x) 2) (*.f64 x #s(literal -3 binary64))) x)
(.f64 x #s(approx (+ ( -3 x) 2) (*.f64 x #s(literal -3 binary64))))
#s(approx (+ (* -3 x) 2) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x)
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))) (neg.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x))
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 #s(approx (+ (* -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 (*.f64 #s(literal -81 binary64) x) x #s(literal 36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
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(fma.f64 (neg.f64 x) #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(fma.f64 (.f64 #s(literal 9 binary64) x) (/.f64 (.f64 #s(literal 9 binary64) x) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (.f64 #s(literal -9 binary64) x) (/.f64 (.f64 #s(literal -9 binary64) x) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 81 binary64) x) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(-.f64 (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))) (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))

eval216.0ms (3.8%)

Memory: -13.3MiB live, 62.4MiB allocated
Compiler: Compiled 5 289 to 626 computations (88.2% saved)

prune130.0ms (2.3%)

Memory

16.0MiB live, 54.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	345	1	346
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	346	10	356

Accuracy

100.0%

Counts

356 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	51.2%	(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #s(approx (+ (* 9 x) 6) #s(literal 6 binary64)))
✓	51.2%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
✓	50.2%	(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	51.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	50.3%	#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 206 to 98 computations (52.4% saved)

regimes124.0ms (2.2%)

Memory

-26.9MiB live, 19.9MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #s(approx (+ (* 9 x) 6) #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
(/.f64 (.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))

Calls

2 calls:

119.0ms	x
5.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(.f64 (.f64 #s(approx (+ (* -3 x) 2) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
(/.f64 (.f64 #s(approx (+ ( -81 (* x x)) 36) #s(literal 36 binary64)) x) #s(approx (+ (* 9 x) 6) #s(literal 6 binary64)))

Outputs
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)

Calls

2 calls:

4.0ms	x
4.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-20.7MiB live, 17.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))

Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Calls

2 calls:

4.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
#s(approx (+ (* (* (* x x) 3) -3) (* 6 x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)

Outputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
96.3%	3	`x`
96.3%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.3MiB live, 8.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8339.672353209324	-7.125693378817543e-5

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify10.0ms (0.2%)

Memory

-18.5MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	70
1	47	70
2	68	70
3	78	70
4	84	70
5	85	70

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -5000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal 9 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -5000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) #s(literal -5000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

soundness562.0ms (10%)

Memory

10.2MiB live, 357.9MiB allocated

Rules

15 340×	`lower-fma.f64`
15 340×	`lower-fma.f32`
4 142×	`lower-*.f32`
4 136×	`lower-*.f64`
3 650×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	82	216
2	169	216
3	406	216
4	986	216
5	1305	216
6	2534	216
7	4986	216
8	6846	216
9	7939	216
0	8285	189
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Compiler

Compiled 113 to 67 computations (40.7% saved)

preprocess100.0ms (1.8%)

Memory: 22.8MiB live, 181.1MiB allocated
Compiler: Compiled 136 to 72 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	123
0	49	117
1	83	114
2	126	114
3	227	114
4	278	114
5	344	114
6	372	114
7	398	114
8	536	114
9	580	114
10	617	114
0	617	114

Iter	Nodes	Cost
0	30	123
0	49	117
1	83	114
2	126	114
3	227	114
4	278	114
5	344	114
6	372	114
7	398	114
8	536	114
9	580	114
10	617	114
0	617	114

start0.0ms (0%)

analyze0.0ms (0%)

sample654.0ms (11.6%)

explain88.0ms (1.6%)

preprocess69.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify87.0ms (1.6%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

simplify132.0ms (2.3%)

rewrite349.0ms (6.2%)

eval204.0ms (3.6%)

prune159.0ms (2.8%)

simplify47.0ms (0.8%)

localize88.0ms (1.6%)

series19.0ms (0.3%)

simplify171.0ms (3%)

rewrite461.0ms (8.2%)

eval138.0ms (2.4%)

prune53.0ms (0.9%)

simplify24.0ms (0.4%)

localize87.0ms (1.6%)

series40.0ms (0.7%)

simplify159.0ms (2.8%)

rewrite274.0ms (4.9%)

eval430.0ms (7.6%)

prune140.0ms (2.5%)

simplify7.0ms (0.1%)

localize85.0ms (1.5%)

series7.0ms (0.1%)

simplify205.0ms (3.6%)

rewrite262.0ms (4.7%)

eval216.0ms (3.8%)

prune130.0ms (2.3%)

regimes124.0ms (2.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness562.0ms (10%)

preprocess100.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	123
0	49	117
1	83	114
2	126	114
3	227	114
4	278	114
5	344	114
6	372	114
7	398	114
8	536	114
9	580	114
10	617	114
0	617	114