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)

sample774.0ms (11.2%)

Memory

25.3MiB live, 967.4MiB allocated

Samples

468.0ms	7 612×	0	valid
43.0ms	299×	2	valid
26.0ms	345×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 248.0ms (76.4% of total)

ival-sub: 50.0ms (15.4% of total)

adjust: 10.0ms (3.1% of total)

exact: 7.0ms (2.2% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain126.0ms (1.8%)

Memory

14.2MiB live, 128.4MiB 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

21.0ms	410×	0	valid
6.0ms	44×	2	valid
5.0ms	58×	1	valid

Compiler

Compiled 68 to 25 computations (63.2% saved)

Precisions

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

ival-mult: 11.0ms (64.1% of total)

ival-sub: 3.0ms (17.5% of total)

adjust: 2.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess72.0ms (1%)

Memory

-14.5MiB live, 74.3MiB 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 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify38.0ms (0.5%)

Memory

-0.9MiB live, 35.7MiB 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 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x

localize29.0ms (0.4%)

Memory

8.2MiB live, 44.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.09765625	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.14453125	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
accuracy	0.16796875	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

10.0ms	205×	0	valid
7.0ms	22×	2	valid
3.0ms	29×	1	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

adjust: 5.0ms (40.3% of total)

ival-mult: 5.0ms (40.3% of total)

ival-sub: 2.0ms (16.1% 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

7.7MiB live, 7.7MiB 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 (* -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 (* -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 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 (* -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 (* -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 (* 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 (* -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 (* -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 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 (* 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 (* 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

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 3 (- 2 (* x 3)))
0.0ms	x	@	0	(* (* 3 (- 2 (* x 3))) x)
0.0ms	x	@	0	(* 3 (- 2 (* x 3)))
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	-inf	(* (* 3 (- 2 (* x 3))) x)

simplify163.0ms (2.4%)

Memory

-2.8MiB live, 152.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 190×	`lower-*.f64`
3 190×	`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	1019	216
5	1335	216
6	2557	216
7	5031	216
8	6891	216
9	7986	216
0	8012	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))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 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))
(* -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)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

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

rewrite452.0ms (6.5%)

Memory

-31.0MiB live, 492.5MiB 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 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.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 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (.f64 (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 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 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 #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 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 #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 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 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 (neg.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 #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 (neg.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 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 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 3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #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 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (neg.f64 (.f64 #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 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))))
(.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) #s(literal 64 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -4 binary64)) #s(literal 16 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 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 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (neg.f64 x)))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -3 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
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(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 36 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) x))))))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 81 binary64)))))))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (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 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (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 x (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 x (.f64 #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 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 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 x (.f64 x x)) #s(literal 8 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 x (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 x (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 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))

eval162.0ms (2.3%)

Memory: 29.1MiB live, 224.3MiB allocated
Compiler: Compiled 20 468 to 2 295 computations (88.8% saved)

prune277.0ms (4%)

Memory

-7.6MiB live, 333.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	885	13	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	886	13	899

Accuracy

100.0%

Counts

899 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) x) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
▶	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
▶	51.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
▶	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	98.1%	(.f64 (/.f64 (neg.f64 (.f64 #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))) x)
	99.2%	(.f64 (.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) x)
	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
	49.9%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
	49.9%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
▶	53.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	50.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 256 to 180 computations (29.7% saved)

simplify115.0ms (1.7%)

Memory

-8.2MiB live, 109.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
cost-diff	0	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
cost-diff	1408	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
cost-diff	0	(*.f64 x #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 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)
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 (.f64 x x) #s(literal -9 binary64))
cost-diff	320	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))

Rules

1 352×	`lower-fma.f32`
1 344×	`lower-fma.f64`
760×	`lower-*.f32`
748×	`lower-*.f64`
408×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	36	106
1	65	100
2	114	91
3	182	90
4	257	90
5	379	90
6	608	90
7	970	90
8	1230	90
9	1367	90
10	1634	90
11	2103	90
12	2641	90
13	2986	90
14	3005	90
15	3009	90
16	3016	90
17	3017	90
0	3017	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.3%)

Memory

10.4MiB live, 167.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
accuracy	0.06640625	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
accuracy	0.2265625	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
accuracy	0.48999863070173555	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 6 binary64))
accuracy	0.1640625	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.16796875	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
accuracy	0.16796875	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	30.015059053016856	#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 (.f64 x x) #s(literal -9 binary64)))
accuracy	0.13119125976844204	(.f64 (.f64 x x) #s(literal -9 binary64))

Samples

34.0ms	183×	0	valid
20.0ms	34×	2	valid
10.0ms	39×	1	valid

Compiler

Compiled 109 to 25 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 22.0ms (50.8% of total)

ival-add: 8.0ms (18.5% of total)

adjust: 7.0ms (16.2% of total)

ival-div: 5.0ms (11.5% of total)

ival-sub: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series73.0ms (1.1%)

Memory

-14.3MiB live, 22.8MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
63.0ms	x	@	inf	(* (+ (* x -9) 6) x)
1.0ms	x	@	-inf	(/ 1 (* x (+ (* 3 x) 2)))
1.0ms	x	@	inf	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	0	(/ 3 (/ 1 (* x (+ (* 3 x) 2))))
0.0ms	x	@	0	(+ (* x 6) (* (* x x) -9))

simplify226.0ms (3.3%)

Memory

25.5MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 632×	`lower-fma.f64`
7 632×	`lower-fma.f32`
2 966×	`lower-*.f64`
2 966×	`lower-*.f32`
2 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	880
1	251	880
2	522	872
3	1071	868
4	2426	868
5	5655	868
0	8670	781

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite409.0ms (5.9%)

Memory

3.8MiB live, 447.6MiB allocated

Rules

11 990×	`lower-fma.f32`
11 982×	`lower-fma.f64`
5 806×	`lower-*.f32`
5 794×	`lower-*.f64`
3 420×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	85
0	36	88
1	145	81
2	933	72
0	8672	71

Stop Event

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

Counts

13 → 1 103

Calls

Call 1

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

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

eval278.0ms (4%)

Memory: -3.0MiB live, 386.6MiB allocated
Compiler: Compiled 26 698 to 2 074 computations (92.2% saved)

prune429.0ms (6.2%)

Memory

-1.2MiB live, 388.1MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 272	5	1 277
Fresh	4	4	8
Picked	1	4	5
Done	0	0	0
Total	1 277	13	1 290

Accuracy

100.0%

Counts

1 290 → 13

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 x #s(literal 6 binary64)))
✓	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	92.0%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
▶	53.4%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
	99.1%	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) x))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶	49.9%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
	49.9%	(.f64 #s(approx (+ ( x -9) 6) (*.f64 x #s(literal -9 binary64))) x)
✓	53.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	50.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 208 to 146 computations (29.8% saved)

simplify433.0ms (6.2%)

Memory

-15.3MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 616×	`lower-fma.f32`
2 610×	`lower-fma.f64`
1 696×	`lower-*.f32`
1 682×	`lower-*.f64`
880×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	156
0	50	156
1	100	156
2	184	153
3	302	153
4	497	153
5	595	153
6	750	153
7	1037	153
8	1924	153
9	3513	153
10	4133	153
11	4281	153
12	4316	153
13	4332	153
14	4337	153
15	4645	153
16	4963	153
17	5014	153
18	5026	153
19	5026	153
20	5026	153
21	5026	153
22	5026	153
23	5130	153
24	5802	153
0	5802	146

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.7%)

Memory

15.4MiB live, 240.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
accuracy	0.0859375	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
accuracy	5.105944972039693	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.2265625	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	29.086465164073395	#s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 x #s(literal -3 binary64))
accuracy	0.14453125	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
accuracy	0.16796875	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
accuracy	32.755094148651885	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.13119125976844204	(.f64 #s(literal -9 binary64) (.f64 x x))
accuracy	31.983593986114954	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))
accuracy	0	(*.f64 x #s(literal -3 binary64))
accuracy	0.19140625	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))

Samples

30.0ms	164×	0	valid
22.0ms	42×	2	valid
15.0ms	47×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 139 to 34 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 21.0ms (48% of total)

ival-div: 8.0ms (18.3% of total)

ival-add: 6.0ms (13.7% of total)

adjust: 5.0ms (11.4% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series9.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (+ (* (* x x) 81) -36) x) (+ (* x -9) -6))
0.0ms	x	@	0	(/ (* (+ (* (* x x) 81) -36) x) (+ (* x -9) -6))
0.0ms	x	@	-inf	(/ (* (+ (* (* x x) 81) -36) x) (+ (* x -9) -6))
0.0ms	x	@	0	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	inf	(* (* x -3) (+ (* 3 x) -2))

simplify211.0ms (3%)

Memory

-18.5MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 184×	`lower-fma.f64`
7 184×	`lower-fma.f32`
2 962×	`lower-*.f64`
2 962×	`lower-*.f32`
1 228×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1008
1	290	1008
2	665	1000
3	1576	996
4	4029	996
5	6844	996
0	8064	900

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite404.0ms (5.8%)

Memory

-8.8MiB live, 363.1MiB allocated

Rules

9 128×	`lower-fma.f32`
9 122×	`lower-fma.f64`
5 294×	`lower-*.f32`
5 280×	`lower-*.f64`
3 612×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	129
0	50	124
1	196	124
2	1146	120
0	8485	112

Stop Event

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

Counts

15 → 844

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 #s(literal -36 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 #s(literal -36 binary64) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal -36 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal -36 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64)))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 x (*.f64 x #s(literal 81 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (.f64 x #s(literal -9 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 6 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -36 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 #s(literal -36 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal -9 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(fma.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))))
(fma.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal -36 binary64) (.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (*.f64 x #s(literal 81 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x #s(literal 81 binary64))) (*.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal -36 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 81 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 #s(literal -36 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 81 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 #s(literal -36 binary64) x)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 #s(literal -36 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (*.f64 #s(literal -36 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64)))))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (.f64 x #s(literal -9 binary64)) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 6 binary64)))
(fma.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 6 binary64))))
(neg.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(neg.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)) (.f64 x (.f64 #s(literal -3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 12 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (fma.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (.f64 (*.f64 x x) #s(literal 2916 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (.f64 (*.f64 x x) #s(literal 2916 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(.f64 (-.f64 #s(literal 1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))

eval127.0ms (1.8%)

Memory: 4.2MiB live, 275.6MiB allocated
Compiler: Compiled 21 124 to 1 509 computations (92.9% saved)

prune125.0ms (1.8%)

Memory

16.2MiB live, 257.6MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1 060	4	1 064
Fresh	1	3	4
Picked	3	2	5
Done	0	4	4
Total	1 064	13	1 077

Accuracy

100.0%

Counts

1 077 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	52.1%	(/.f64 (.f64 #s(approx (+ ( (* x x) 81) -36) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	53.4%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
	99.1%	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) x))
	99.2%	(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	49.9%	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
▶	49.9%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
▶	49.9%	(.f64 #s(approx (+ ( x -9) 6) (*.f64 x #s(literal -9 binary64))) x)
✓	53.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	50.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 192 to 133 computations (30.7% saved)

simplify92.0ms (1.3%)

Memory

-22.0MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

984×	`lower-fma.f32`
980×	`lower-fma.f64`
760×	`lower-*.f32`
744×	`lower-*.f64`
328×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	159
0	46	159
1	75	157
2	104	157
3	144	157
4	180	157
5	204	157
6	228	157
7	300	157
8	422	157
9	456	157
10	461	157
11	514	157
12	577	157
13	674	157
14	749	157
15	958	157
16	1570	157
17	1945	157
18	2435	157
19	2494	157
20	2541	157
21	2556	157
22	2560	157
0	2560	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize226.0ms (3.3%)

Memory

21.8MiB live, 99.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
accuracy	0.0859375	(.f64 #s(approx (+ ( (* x x) 81) -36) #s(literal -36 binary64)) x)
accuracy	5.105944972039693	(/.f64 (.f64 #s(approx (+ ( (* x x) 81) -36) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
accuracy	30.50796748339477	#s(approx (+ (* (* x x) 81) -36) #s(literal -36 binary64))
accuracy	0	(*.f64 x #s(literal -3 binary64))
accuracy	0.08203125	(.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
accuracy	0.171875	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
accuracy	32.75509414865189	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0	(*.f64 x #s(literal -3 binary64))
accuracy	0.19140625	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
accuracy	32.75509414865189	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.16796875	(.f64 #s(approx (+ ( x -9) 6) (*.f64 x #s(literal -9 binary64))) x)
accuracy	32.6625513845587	#s(approx (+ (* x -9) 6) (*.f64 x #s(literal -9 binary64)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.234375	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
accuracy	0.278217994520945	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))

Samples

156.0ms	164×	0	valid
28.0ms	40×	2	valid
13.0ms	49×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 134 to 29 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 161.0ms (89.6% of total)

ival-div: 6.0ms (3.3% of total)

ival-add: 5.0ms (2.8% of total)

adjust: 4.0ms (2.2% of total)

ival-sub: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series10.0ms (0.1%)

Memory

-20.8MiB live, 16.3MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x -9)
0.0ms	x	@	inf	(/ 1 (+ (* x -9) 6))
0.0ms	x	@	inf	(* x -9)
0.0ms	x	@	-inf	(/ 1 (+ (* x -9) 6))
0.0ms	x	@	0	(/ 1 (+ (* x -9) 6))

simplify158.0ms (2.3%)

Memory

21.2MiB live, 218.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 672×	`lower-fma.f64`
5 672×	`lower-fma.f32`
2 888×	`lower-*.f64`
2 888×	`lower-*.f32`
1 742×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1050
1	292	1046
2	690	1040
3	1523	1040
4	3075	1040
5	5362	1040
0	8240	926

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

rewrite236.0ms (3.4%)

Memory

23.1MiB live, 293.4MiB allocated

Rules

7 378×	`lower-fma.f32`
7 374×	`lower-fma.f64`
4 878×	`lower-*.f32`
4 862×	`lower-*.f64`
3 602×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	131
0	46	131
1	149	129
2	825	129
0	8014	122

Stop Event

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

Counts

16 → 781

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 (neg.f64 x) #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal -6 binary64) (neg.f64 x)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 x (neg.f64 (.f64 x #s(literal 9 binary64))) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (neg.f64 (.f64 x #s(literal 9 binary64))) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 x (neg.f64 (.f64 x #s(literal 9 binary64))) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))
(.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (fma.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (.f64 x x) #s(literal 81 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (.f64 x #s(literal 54 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))

eval177.0ms (2.6%)

Memory: 3.5MiB live, 279.8MiB allocated
Compiler: Compiled 18 137 to 2 110 computations (88.4% saved)

prune258.0ms (3.7%)

Memory

-14.8MiB live, 311.8MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1 008	6	1 014
Fresh	2	0	2
Picked	2	3	5
Done	0	6	6
Total	1 012	15	1 027

Accuracy

100.0%

Counts

1 027 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	53.5%	(/.f64 (.f64 #s(approx (+ ( (* x x) 81) -36) #s(literal -36 binary64)) x) #s(approx (+ (* x -9) -6) #s(literal -6 binary64)))
	52.0%	(/.f64 #s(approx (+ (* (* x x) 81) -36) #s(literal -36 binary64)) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) x))
	49.9%	(/.f64 #s(approx (+ (* x -9) 6) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) x))
	49.9%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
	53.4%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	53.4%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	52.1%	(.f64 (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(approx (+ ( (* x x) 81) -36) #s(literal -36 binary64)))
✓	49.9%	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
✓	49.9%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	49.9%	(.f64 #s(approx (+ ( x -9) 6) (*.f64 x #s(literal -9 binary64))) x)
✓	53.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	50.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 374 to 165 computations (55.9% saved)

regimes28.0ms (0.4%)

Memory

-23.5MiB live, 51.5MiB allocated

Counts

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

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

Calls

2 calls:

13.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
8.0ms	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)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	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

12.6MiB live, 12.6MiB 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 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(.f64 #s(approx (+ ( x -9) 6) (*.f64 x #s(literal -9 binary64))) x)

Outputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.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
98.3%	3	`x`
98.3%	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)

regimes4.0ms (0.1%)

Memory

-30.6MiB live, 8.6MiB 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:

2.0ms	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
53.5%	1	`x`
53.5%	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	-137421601.88571638	-6.352486773679549e-5

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	36	63
2	48	63
3	54	63
4	58	63
5	59	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.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 -100000000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x))) (.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 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -100000000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) #s(literal -100000000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
(.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))

soundness508.0ms (7.3%)

Memory

-6.6MiB live, 271.6MiB 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
0	32	216
1	82	216
2	169	216
3	406	216
4	1019	216
5	1335	216
6	2557	216
7	5031	216
8	6891	216
9	7986	216
0	8012	189

Stop Event

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

Compiler

Compiled 89 to 51 computations (42.7% saved)

preprocess73.0ms (1.1%)

Memory: 24.7MiB live, 62.4MiB allocated
Compiler: Compiled 122 to 64 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample774.0ms (11.2%)

explain126.0ms (1.8%)

preprocess72.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.5%)

localize29.0ms (0.4%)

series4.0ms (0.1%)

simplify163.0ms (2.4%)

rewrite452.0ms (6.5%)

eval162.0ms (2.3%)

prune277.0ms (4%)

simplify115.0ms (1.7%)

localize87.0ms (1.3%)

series73.0ms (1.1%)

simplify226.0ms (3.3%)

rewrite409.0ms (5.9%)

eval278.0ms (4%)

prune429.0ms (6.2%)

simplify433.0ms (6.2%)

localize117.0ms (1.7%)

series9.0ms (0.1%)

simplify211.0ms (3%)

rewrite404.0ms (5.8%)

eval127.0ms (1.8%)

prune125.0ms (1.8%)

simplify92.0ms (1.3%)

localize226.0ms (3.3%)

series10.0ms (0.1%)

simplify158.0ms (2.3%)

rewrite236.0ms (3.4%)

eval177.0ms (2.6%)

prune258.0ms (3.7%)

regimes28.0ms (0.4%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness508.0ms (7.3%)

preprocess73.0ms (1.1%)

end0.0ms (0%)

Profiling