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

0.4MiB live, 0.4MiB 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)

sample2.6s (27.8%)

Memory

19.5MiB live, 1 140.8MiB allocated

Samples

2.3s	7 620×	0	valid
77.0ms	289×	2	valid
25.0ms	347×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-mult: 1.2s (54% of total)

ival-sub: 989.0ms (44.9% of total)

adjust: 10.0ms (0.5% of total)

exact: 8.0ms (0.4% of total)

ival-true: 5.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain91.0ms (1%)

Memory

-17.4MiB live, 137.8MiB 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

24.0ms	414×	0	valid
6.0ms	52×	2	valid
4.0ms	46×	1	valid

Compiler

Compiled 68 to 25 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 15.0ms (69.6% of total)

ival-sub: 3.0ms (13.9% of total)

adjust: 2.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess69.0ms (0.7%)

Memory

11.4MiB live, 105.7MiB 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

1.2MiB live, 1.2MiB 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 (0.4%)

Memory

-6.4MiB live, 31.1MiB 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

localize26.0ms (0.3%)

Memory

4.2MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.06640625	(-.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	0.16015625	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

11.0ms	207×	0	valid
3.0ms	26×	2	valid
2.0ms	23×	1	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.2% of total)

ival-sub: 2.0ms (20.3% of total)

adjust: 1.0ms (10.2% 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%)

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)

simplify126.0ms (1.4%)

Memory

9.1MiB live, 123.6MiB 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))

rewrite650.0ms (7%)

Memory

-148.7MiB live, 488.9MiB 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 (1.7%)

Memory: 20.9MiB live, 251.5MiB allocated
Compiler: Compiled 20 468 to 2 295 computations (88.8% saved)

prune263.0ms (2.8%)

Memory

-7.3MiB live, 289.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	90.1%	(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
	48.5%	(/.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)
▶	99.8%	(.f64 (-.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)))
▶	51.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
▶	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	51.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 178 to 124 computations (30.3% saved)

simplify84.0ms (0.9%)

Memory

17.4MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

920×	`lower-fma.f32`
916×	`lower-fma.f64`
624×	`lower-*.f32`
610×	`lower-*.f64`
296×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	38	116
1	63	110
2	92	92
3	153	92
4	261	92
5	392	92
6	628	92
7	1034	92
8	1534	92
9	1832	92
10	2178	92
11	2341	92
12	2417	92
13	2425	92
14	2429	92
15	2435	92
16	2437	92
0	2437	92

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

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

localize113.0ms (1.2%)

Memory

-13.6MiB live, 138.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
accuracy	0.22265625	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
accuracy	0	(*.f64 x #s(literal 9 binary64))
accuracy	0.03125	(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.16015625	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
accuracy	0	(*.f64 #s(literal -9 binary64) x)
accuracy	0.16015625	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
accuracy	32.00144151448201	#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
accuracy	0.16015625	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	31.858320485230575	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
accuracy	0.16989005115753777	(.f64 (.f64 x x) #s(literal -9 binary64))

Samples

40.0ms	25×	2	valid
29.0ms	209×	0	valid
9.0ms	22×	1	valid

Compiler

Compiled 104 to 25 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 45.0ms (74.4% of total)

adjust: 5.0ms (8.3% of total)

ival-div: 4.0ms (6.6% of total)

ival-sub: 3.0ms (5% of total)

ival-add: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

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

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

series9.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

14 → 168

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

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

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	0	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	-inf	(* (- 6 (* x 9)) x)
0.0ms	x	@	inf	(* (* x x) -9)
0.0ms	x	@	-inf	(* -9 x)

simplify225.0ms (2.4%)

Memory

0.8MiB live, 333.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 582×	`lower-fma.f64`
8 582×	`lower-fma.f32`
2 440×	`lower-*.f64`
2 440×	`lower-*.f32`
1 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	866
1	193	862
2	419	856
3	850	856
4	1817	856
5	3639	856
6	6268	856
0	8118	769

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (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)))))
(* -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
(+ 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))
(* 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))
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)))))

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 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 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) (- (* 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 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) (- (* 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
#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 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) (- (* 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 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 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) (- (* 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 (fma.f64 #s(literal -2/27 binary64) x (+.f64 #s(literal -4/81 binary64) (/.f64 #s(literal -8/243 binary64) x))) (*.f64 x 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 (fma.f64 #s(literal -2/27 binary64) x (+.f64 #s(literal -4/81 binary64) (/.f64 #s(literal -8/243 binary64) x))) (*.f64 x 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))

rewrite397.0ms (4.3%)

Memory

-25.6MiB live, 487.9MiB allocated

Rules

9 868×	`lower-fma.f32`
9 864×	`lower-fma.f64`
5 358×	`lower-*.f32`
5 344×	`lower-*.f64`
3 198×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	96
0	38	102
1	128	96
2	831	78
0	8675	78

Stop Event

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

Counts

14 → 1 257

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

Outputs
(+.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 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 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 #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 (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 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 1 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))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 36 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 (.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)))
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(pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 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 x #s(literal -3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 x #s(literal -3 binary64) #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 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #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) (pow.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.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 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #s(literal 1 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 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #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 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #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 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 x (.f64 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))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 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))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 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 (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))) #s(literal 1 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))) #s(literal 1 binary64)))
(.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 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.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 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (fma.f64 x (.f64 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))) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)))
(.f64 (.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) (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 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))))
(.f64 (pow.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(.f64 (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 #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 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (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 (.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 (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 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1/2 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))) (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)))
(.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 (.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 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 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)) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (.f64 (fma.f64 x (fma.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 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) #s(literal 46656 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal 36 binary64)) #s(literal 1296 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))))) (-.f64 #s(literal 36 binary64) (*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 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 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) #s(literal 64 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (-.f64 (.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 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (-.f64 #s(literal 16 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))

eval215.0ms (2.3%)

Memory: 2.9MiB live, 241.6MiB allocated
Compiler: Compiled 28 987 to 1 898 computations (93.5% saved)

prune213.0ms (2.3%)

Memory

4.0MiB live, 278.1MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 419	6	1 425
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	1 422	13	1 435

Accuracy

100.0%

Counts

1 435 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	49.2%	(/.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
	93.5%	(/.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)))
▶	50.3%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
	50.9%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
	50.2%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
▶	49.2%	(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
▶	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.8%	(.f64 (-.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)))
✓	51.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	51.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 217 to 147 computations (32.3% saved)

simplify472.0ms (5.1%)

Memory

17.2MiB live, 327.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff	1088	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) 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)))
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 x #s(literal -9 binary64) #s(literal 6 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Rules

11 112×	`lower-fma.f32`
11 102×	`lower-fma.f64`
3 304×	`lower-*.f32`
3 290×	`lower-*.f64`
2 864×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	145
0	54	137
1	105	135
2	204	126
3	374	126
4	618	126
5	743	126
6	957	126
7	1310	126
8	1767	126
9	2990	126
10	3853	126
11	4378	126
12	4465	126
13	4488	126
14	4494	126
15	5018	126
16	5262	126
17	5272	126
18	5290	126
19	5346	126
20	5416	126
21	5644	126
22	6062	126
23	6166	126
24	6208	126
25	6238	126
26	6722	126
0	8544	126

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (* (* 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 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)
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.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 x (.f64 x x))
x
(*.f64 x x)
#s(literal 729 binary64)
#s(literal 216 binary64)
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
#s(literal 81 binary64)
#s(literal 54 binary64)
#s(literal 36 binary64)

Outputs
(*.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)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 x (.f64 x #s(literal -9 binary64))))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -9 binary64)))
#s(literal -9 binary64)
(*.f64 x x)
x
(.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)
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 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)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 729 binary64)) #s(literal 216 binary64))) (fma.f64 x (fma.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))
(fma.f64 (.f64 x x) (.f64 x #s(literal 729 binary64)) #s(literal 216 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 729 binary64)
#s(literal 216 binary64)
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
#s(literal 81 binary64)
#s(literal 54 binary64)
#s(literal 36 binary64)

localize395.0ms (4.2%)

Memory

-36.9MiB live, 182.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	4.406958305058298	(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
accuracy	14.034935752175064	(/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.21875	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	31.858320485230575	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))
accuracy	0	(*.f64 x #s(literal -3 binary64))
accuracy	0.1953125	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.16989005115753777	(.f64 #s(literal -9 binary64) (.f64 x x))
accuracy	31.33904719344904	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.16015625	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

273.0ms	34×	1	valid
74.0ms	192×	0	valid
14.0ms	30×	2	valid

Compiler

Compiled 150 to 39 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-add: 240.0ms (73.3% of total)

ival-mult: 69.0ms (21.1% of total)

ival-div: 11.0ms (3.4% of total)

adjust: 4.0ms (1.2% of total)

ival-sub: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series12.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 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 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 (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))) (patch (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 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 (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf 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 (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf 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 (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf 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 (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf 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 (* -9 (pow x 2)) (taylor -inf 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 (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf 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 (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf 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 (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf 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 (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#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>) () ())) ())
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#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- (+ 6 (/ 32/9 (pow x 3))) (* 16/3 (/ 1 (pow x 2)))) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))) (patch (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))) #<representation binary64>) () ())) ())
#s(alt 216 (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 216 (* 729 (pow x 3))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 216 (* 729 (pow x 3))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 216 (* 729 (pow x 3))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 729 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 729 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/36 (* -1/24 x))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/36 (* x (- (* 3/32 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/36 (* x (- (* (pow x 2) (+ 3/32 (* -9/64 x))) 1/24)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/81 x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/81 (* 2/243 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (* 2/243 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (+ (* 2/243 (/ 1 x)) (* 16/6561 (/ 1 (pow x 4))))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/81 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2/243 (/ 1 x)) 1/81) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) 2/243) x)) 1/81) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) (+ 2/243 (/ 16/6561 (pow x 3)))) x)) 1/81) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (patch (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #<representation binary64>) () ())) ())
#s(alt 36 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* 54 x)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* x (+ 54 (* 81 x)))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 36 (* x (+ 54 (* 81 x)))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 81 (* 54 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 81 (* 54 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	inf	(* (+ (* (* x (* x x)) 729) 216) (/ x (+ (* x (+ (* x 81) 54)) 36)))
0.0ms	x	@	0	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	-inf	(* (+ (* (* x (* x x)) 729) 216) (/ x (+ (* x (+ (* x 81) 54)) 36)))
0.0ms	x	@	-inf	(* x (* x x))

simplify232.0ms (2.5%)

Memory

3.8MiB live, 273.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 450×	`lower-fma.f64`
8 450×	`lower-fma.f32`
2 732×	`lower-*.f64`
2 732×	`lower-*.f32`
2 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1091
1	446	1090
2	1064	1090
3	2603	1068
4	6609	1068
0	8334	959

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))
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))
(* -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))
(* -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))
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)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* x (- (* 81/2 (pow x 2)) 9))))
(* x (+ 6 (* x (- (* (pow x 2) (+ 81/2 (* -243/4 x))) 9))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 16/3 (pow x 3))) (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 16/3 (pow x 3))) (+ (* 6 (/ 1 x)) (* 32/9 (/ 1 (pow x 4))))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (* 16/3 (/ 1 (pow x 2)))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- (+ 6 (/ 32/9 (pow x 3))) (* 16/3 (/ 1 (pow x 2)))) x))))
216
(+ 216 (* 729 (pow x 3)))
(+ 216 (* 729 (pow x 3)))
(+ 216 (* 729 (pow x 3)))
(* 729 (pow x 3))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* 729 (pow x 3))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/36 x)
(* x (+ 1/36 (* -1/24 x)))
(* x (+ 1/36 (* x (- (* 3/32 (pow x 2)) 1/24))))
(* x (+ 1/36 (* x (- (* (pow x 2) (+ 3/32 (* -9/64 x))) 1/24))))
(/ 1/81 x)
(/ (- 1/81 (* 2/243 (/ 1 x))) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (* 2/243 (/ 1 x))) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (+ (* 2/243 (/ 1 x)) (* 16/6561 (/ 1 (pow x 4))))) x)
(/ 1/81 x)
(* -1 (/ (- (* 2/243 (/ 1 x)) 1/81) x))
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) 2/243) x)) 1/81) x))
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) (+ 2/243 (/ 16/6561 (pow x 3)))) x)) 1/81) x))
36
(+ 36 (* 54 x))
(+ 36 (* x (+ 54 (* 81 x))))
(+ 36 (* x (+ 54 (* 81 x))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))

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)))
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)))
(* -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)))
(* -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 #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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 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 (* x (- (* 81/2 (pow x 2)) 9))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 81/2 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)))
(* x (+ 6 (* x (- (* (pow x 2) (+ 81/2 (* -243/4 x))) 9))))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -243/4 binary64) #s(literal 81/2 binary64)) #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 (/ 16/3 (pow x 3))) (* 6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 16/3 binary64) x))
(* (pow x 2) (- (+ 9 (/ 16/3 (pow x 3))) (+ (* 6 (/ 1 x)) (* 32/9 (/ 1 (pow x 4))))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -32/9 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -6 binary64)) (/.f64 #s(literal 16/3 binary64) x))
(* 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 (* -1 (/ (- 6 (* 16/3 (/ 1 (pow x 2)))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 16/3 binary64) x))
(* (pow x 2) (+ 9 (* -1 (/ (- (+ 6 (/ 32/9 (pow x 3))) (* 16/3 (/ 1 (pow x 2)))) x))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (fma.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -32/9 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 16/3 binary64) x)))
216
#s(literal 216 binary64)
(+ 216 (* 729 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(+ 216 (* 729 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(+ 216 (* 729 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* 729 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 729 binary64)))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* 729 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 729 binary64)))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* x (+ 1/36 (* -1/24 x)))
(*.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/36 binary64)))
(* x (+ 1/36 (* x (- (* 3/32 (pow x 2)) 1/24))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 3/32 binary64)) #s(literal -1/24 binary64)) #s(literal 1/36 binary64)))
(* x (+ 1/36 (* x (- (* (pow x 2) (+ 3/32 (* -9/64 x))) 1/24))))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -9/64 binary64) #s(literal 3/32 binary64)) #s(literal -1/24 binary64)) #s(literal 1/36 binary64)))
(/ 1/81 x)
(/.f64 #s(literal 1/81 binary64) x)
(/ (- 1/81 (* 2/243 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -2/243 binary64) x)) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (* 2/243 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/2187 binary64) (*.f64 x x)) #s(literal -2/243 binary64)) x)) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (+ (* 2/243 (/ 1 x)) (* 16/6561 (/ 1 (pow x 4))))) x)
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/2187 binary64) (.f64 x x)) (-.f64 #s(literal -2/243 binary64) (/.f64 #s(literal 16/6561 binary64) (.f64 x (*.f64 x x))))) x)) x)
(/ 1/81 x)
(/.f64 #s(literal 1/81 binary64) x)
(* -1 (/ (- (* 2/243 (/ 1 x)) 1/81) x))
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -2/243 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) 2/243) x)) 1/81) x))
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/2187 binary64) (*.f64 x x)) #s(literal -2/243 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) (+ 2/243 (/ 16/6561 (pow x 3)))) x)) 1/81) x))
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/2187 binary64) (.f64 x x)) (-.f64 #s(literal -2/243 binary64) (/.f64 #s(literal 16/6561 binary64) (.f64 x (*.f64 x x))))) x)) x)
36
#s(literal 36 binary64)
(+ 36 (* 54 x))
(fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))
(+ 36 (* x (+ 54 (* 81 x))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(+ 36 (* x (+ 54 (* 81 x))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))

rewrite402.0ms (4.3%)

Memory

29.3MiB live, 422.8MiB allocated

Rules

9 934×	`lower-fma.f32`
9 924×	`lower-fma.f64`
4 986×	`lower-*.f32`
4 972×	`lower-*.f64`
3 342×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	120
0	54	112
1	211	110
2	1332	101
0	8816	101

Stop Event

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

Counts

16 → 790

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(approx (* (* 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 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))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) x)
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.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 x (.f64 x x))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 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 (.f64 x x) (.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 x) #s(literal 36 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 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.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) (neg.f64 (.f64 x #s(literal -2 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 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 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 -2 binary64) (.f64 x #s(literal -3 binary64)) (.f64 x (*.f64 x #s(literal -9 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 #s(literal -9 binary64)) x (.f64 x #s(literal 6 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 #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 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 -9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -6 binary64) (neg.f64 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 (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3 binary64) (.f64 x (*.f64 x #s(literal -9 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 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) (neg.f64 x) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(neg.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.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)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (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)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x 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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.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 (fma.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 (.f64 x #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 (.f64 x #s(literal -3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -4 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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)) (.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) (fma.f64 (.f64 x 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))))))
(/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(/.f64 (.f64 x (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 (.f64 x #s(literal -3 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) x) (fma.f64 x (fma.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)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)) (.f64 x #s(literal -3 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -3 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 x (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)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (neg.f64 x) #s(literal -36 binary64)))
(/.f64 (neg.f64 (.f64 x (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 (neg.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) x)) (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (neg.f64 x) #s(literal -36 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)))) (neg.f64 (fma.f64 (.f64 x 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)))))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)))) (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)) (.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -3 binary64)))) (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (fma.f64 (.f64 x x) #s(literal 36 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64))))) (-.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x 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)))))))
(.f64 (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) x) #s(literal -3 binary64))
(.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) #s(literal -3 binary64))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(.f64 (.f64 x (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))))
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(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.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)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)) (*.f64 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))))
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(.f64 (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (neg.f64 x)) #s(literal 3 binary64))
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(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64) #s(literal 6 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (neg.f64 x) #s(literal -36 binary64))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 729 binary64)) #s(literal -216 binary64)) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(neg.f64 (/.f64 (neg.f64 (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 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) #s(literal 46656 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal 1296 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (*.f64 x #s(literal 36 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) #s(literal 46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))))))
(.f64 (fma.f64 (.f64 x x) (*.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) #s(literal 46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal 1296 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (*.f64 x #s(literal 36 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (*.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (neg.f64 x) #s(literal 36 binary64))))
(.f64 (fma.f64 x (.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x x))) x) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (-.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (.f64 x (*.f64 x #s(literal 81 binary64))))))))
(.f64 (.f64 (fma.f64 x (fma.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 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (.f64 x #s(literal -54 binary64)))))
(.f64 (-.f64 #s(literal 1296 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))))

eval137.0ms (1.5%)

Memory: -5.2MiB live, 338.2MiB allocated
Compiler: Compiled 23 002 to 2 018 computations (91.2% saved)

prune154.0ms (1.7%)

Memory

-1.0MiB live, 340.9MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 005	2	1 007
Fresh	2	2	4
Picked	2	3	5
Done	0	4	4
Total	1 009	11	1 020

Accuracy

100.0%

Counts

1 020 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	50.3%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	50.9%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
▶	50.2%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
▶	48.4%	(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
▶	50.9%	(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
✓	51.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	51.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 85 to 55 computations (35.3% saved)

simplify12.0ms (0.1%)

Memory

-20.2MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff	0	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* 3 x) -2) (*.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 (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))

Rules

182×	`lower-*.f32`
168×	`lower-*.f64`
96×	`lower-fma.f32`
94×	`lower-fma.f64`
66×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	144
0	52	138
1	80	138
2	119	138
3	160	138
4	199	138
0	199	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 729 binary64)
#s(literal 216 binary64)
#s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))
(*.f64 x #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
x
#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)

Outputs
(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 729 binary64))) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))
(fma.f64 x (.f64 x (.f64 x #s(literal 729 binary64))) #s(literal 216 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 729 binary64)
#s(literal 216 binary64)
#s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))
(*.f64 x #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
x
#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)

localize136.0ms (1.5%)

Memory

16.5MiB live, 165.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.37109375	(/.f64 #s(literal -1/9 binary64) x)
accuracy	32.16644020867341	#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
accuracy	0.22265625	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
accuracy	31.683011568532653	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.36328125	(*.f64 x #s(literal 1/36 binary64))
accuracy	4.406958305058298	(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
accuracy	31.64438484666921	#s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0	(*.f64 x #s(literal -3 binary64))
accuracy	0.1953125	(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
accuracy	32.030664087106686	#s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))

Samples

83.0ms	200×	0	valid
15.0ms	26×	2	valid
10.0ms	30×	1	valid

Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 20.0ms (38.6% of total)

ival-add: 9.0ms (17.4% of total)

ival-div: 8.0ms (15.4% of total)

const: 8.0ms (15.4% of total)

adjust: 4.0ms (7.7% of total)

exact: 1.0ms (1.9% of total)

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

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

series15.0ms (0.2%)

Memory

-12.0MiB live, 26.9MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.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 (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64))) (patch #s(approx (+ ( 3 x) -2) (*.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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (patch (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (.f64 x #s(literal 3 binary64)))) (patch (.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ ( 3 x) -2) (*.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 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>) () ())) ())
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#s(alt (/ -1/9 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/4 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/36 (* -1/24 x))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/36 (* x (- (* 3/32 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/36 (* x (- (* (pow x 2) (+ 3/32 (* -9/64 x))) 1/24)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/81 x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/81 (* 2/243 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (* 2/243 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (+ (* 2/243 (/ 1 x)) (* 16/6561 (/ 1 (pow x 4))))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/81 x) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2/243 (/ 1 x)) 1/81) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) 2/243) x)) 1/81) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) (+ 2/243 (/ 16/6561 (pow x 3)))) x)) 1/81) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (patch #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/36 binary64)) (patch (.f64 x #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ -1/9 x)
0.0ms	x	@	-inf	(* x 1/36)
0.0ms	x	@	inf	(* x 1/36)
0.0ms	x	@	inf	(/ -1/9 x)
0.0ms	x	@	0	(* x 1/36)

simplify209.0ms (2.2%)

Memory

22.4MiB live, 267.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 462×	`lower-fma.f64`
8 462×	`lower-fma.f32`
3 094×	`lower-*.f64`
3 094×	`lower-*.f32`
2 288×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1055
1	529	1046
2	1240	1034
3	2883	1016
4	7315	1016
0	8366	937

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)))
(* 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 (* x (- (* 81/2 (pow x 2)) 9))))
(* x (+ 6 (* x (- (* (pow x 2) (+ 81/2 (* -243/4 x))) 9))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 16/3 (pow x 3))) (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 16/3 (pow x 3))) (+ (* 6 (/ 1 x)) (* 32/9 (/ 1 (pow x 4))))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (* 16/3 (/ 1 (pow x 2)))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- (+ 6 (/ 32/9 (pow x 3))) (* 16/3 (/ 1 (pow x 2)))) x))))
216
(+ 216 (* 729 (pow x 3)))
(+ 216 (* 729 (pow x 3)))
(+ 216 (* 729 (pow x 3)))
(* 729 (pow x 3))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* 729 (pow x 3))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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))
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 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))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* 1/36 x)
(* x (+ 1/36 (* -1/24 x)))
(* x (+ 1/36 (* x (- (* 3/32 (pow x 2)) 1/24))))
(* x (+ 1/36 (* x (- (* (pow x 2) (+ 3/32 (* -9/64 x))) 1/24))))
(/ 1/81 x)
(/ (- 1/81 (* 2/243 (/ 1 x))) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (* 2/243 (/ 1 x))) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (+ (* 2/243 (/ 1 x)) (* 16/6561 (/ 1 (pow x 4))))) x)
(/ 1/81 x)
(* -1 (/ (- (* 2/243 (/ 1 x)) 1/81) x))
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) 2/243) x)) 1/81) x))
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) (+ 2/243 (/ 16/6561 (pow x 3)))) x)) 1/81) x))
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 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)))
(* -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))
(* 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 (* x (- (* 81/2 (pow x 2)) 9))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 81/2 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)))
(* x (+ 6 (* x (- (* (pow x 2) (+ 81/2 (* -243/4 x))) 9))))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -243/4 binary64) #s(literal 81/2 binary64)) #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 (/ 16/3 (pow x 3))) (* 6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 16/3 binary64) x))
(* (pow x 2) (- (+ 9 (/ 16/3 (pow x 3))) (+ (* 6 (/ 1 x)) (* 32/9 (/ 1 (pow x 4))))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -32/9 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -6 binary64)) (/.f64 #s(literal 16/3 binary64) x))
(* 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 (* -1 (/ (- 6 (* 16/3 (/ 1 (pow x 2)))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 16/3 binary64) x))
(* (pow x 2) (+ 9 (* -1 (/ (- (+ 6 (/ 32/9 (pow x 3))) (* 16/3 (/ 1 (pow x 2)))) x))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (fma.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -32/9 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 16/3 binary64) x)))
216
#s(literal 216 binary64)
(+ 216 (* 729 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(+ 216 (* 729 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(+ 216 (* 729 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* 729 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* 729 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(* (pow x 3) (+ 729 (* 216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.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 #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 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) 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 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) 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)))
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 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) 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 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* x (+ 1/36 (* -1/24 x)))
(*.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/36 binary64)))
(* x (+ 1/36 (* x (- (* 3/32 (pow x 2)) 1/24))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 3/32 binary64)) #s(literal -1/24 binary64)) #s(literal 1/36 binary64)))
(* x (+ 1/36 (* x (- (* (pow x 2) (+ 3/32 (* -9/64 x))) 1/24))))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -9/64 binary64) #s(literal 3/32 binary64)) #s(literal -1/24 binary64)) #s(literal 1/36 binary64)))
(/ 1/81 x)
(/.f64 #s(literal 1/81 binary64) x)
(/ (- 1/81 (* 2/243 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -2/243 binary64) x)) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (* 2/243 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 #s(literal 2/243 binary64) (/.f64 #s(literal -8/2187 binary64) (*.f64 x x))) x)) x)
(/ (- (+ 1/81 (/ 8/2187 (pow x 3))) (+ (* 2/243 (/ 1 x)) (* 16/6561 (/ 1 (pow x 4))))) x)
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/2187 binary64) (.f64 x x)) (+.f64 #s(literal -2/243 binary64) (/.f64 #s(literal -16/6561 binary64) (.f64 x (*.f64 x x))))) x)) x)
(/ 1/81 x)
(/.f64 #s(literal 1/81 binary64) x)
(* -1 (/ (- (* 2/243 (/ 1 x)) 1/81) x))
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -2/243 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) 2/243) x)) 1/81) x))
(/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 #s(literal 2/243 binary64) (/.f64 #s(literal -8/2187 binary64) (*.f64 x x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8/2187 (/ 1 (pow x 2))) (+ 2/243 (/ 16/6561 (pow x 3)))) x)) 1/81) x))
(/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/2187 binary64) (.f64 x x)) (+.f64 #s(literal -2/243 binary64) (/.f64 #s(literal -16/6561 binary64) (.f64 x (*.f64 x x))))) x)) x)
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))

rewrite288.0ms (3.1%)

Memory

-22.2MiB live, 371.1MiB allocated

Rules

10 032×	`lower-fma.f32`
10 030×	`lower-fma.f64`
5 846×	`lower-*.f32`
5 832×	`lower-*.f64`
3 740×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	133
0	52	127
1	183	127
2	1058	127
0	8636	117

Stop Event

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

Counts

15 → 229

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal -3 binary64))
#s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))
(*.f64 x #s(literal 1/36 binary64))

Outputs
(.f64 x (.f64 #s(literal -3 binary64) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))) x))
(.f64 #s(literal -3 binary64) (.f64 x #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))))
(.f64 #s(approx (+ ( 3 x) -2) (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal -3 binary64) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))) x) #s(literal -3 binary64))
(.f64 (.f64 x #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))) #s(literal -3 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))
(neg.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x)
(*.f64 #s(literal 3 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 x) #s(literal 3 binary64))
#s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(+.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))
(+.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(+.f64 (.f64 #s(literal 216 binary64) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))))
(+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 729 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 729 binary64) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))))
(fma.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))
(fma.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (.f64 x #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 (.f64 #s(literal 729 binary64) x) (.f64 (.f64 x x) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (.f64 #s(literal 216 binary64) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))))
(fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) x) (.f64 (.f64 x x) #s(literal 729 binary64)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 x x)) (.f64 x #s(literal 729 binary64)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 x (.f64 x x))) #s(literal 729 binary64) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x x) #s(literal 729 binary64))) x (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 #s(literal 729 binary64) x)) (.f64 x x) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)))
(/.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 729 binary64)) #s(literal 216 binary64))))
(/.f64 #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)) (.f64 (.f64 x (.f64 x x)) #s(literal -157464 binary64))) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 10077696 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal -216 binary64)) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (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 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -157464 binary64))) (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 729 binary64)) #s(literal -216 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))))
(/.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64))) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -157464 binary64))))
(/.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64) #s(literal -157464 binary64)))))
(/.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (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 (.f64 x x) #s(literal 729 binary64)) #s(literal -216 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -157464 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64) #s(literal -157464 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(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64)))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 729 binary64)) #s(literal -216 binary64)))
(/.f64 (neg.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -157464 binary64)))))
(/.f64 (neg.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (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 (.f64 x x) #s(literal -729 binary64)) #s(literal 216 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 #s(literal 387420489 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))))) (neg.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -157464 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))))) (fma.f64 x (.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 216 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) (-.f64 (.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (.f64 (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (-.f64 (.f64 (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64)) (.f64 #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64))) (.f64 (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (.f64 x #s(literal 1/36 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))) #s(literal 216 binary64))))))
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(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -9 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(.f64 (pow.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64)))
(*.f64 x #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) x)

eval47.0ms (0.5%)

Memory: 22.5MiB live, 98.8MiB allocated
Compiler: Compiled 7 286 to 707 computations (90.3% saved)

prune60.0ms (0.6%)

Memory

-14.9MiB live, 88.7MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	408	1	409
Fresh	0	0	0
Picked	1	3	4
Done	0	7	7
Total	409	11	420

Accuracy

100.0%

Counts

420 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	50.3%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	50.9%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
✓	50.2%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.8%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
✓	50.9%	(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
	50.2%	(.f64 #s(approx (+ ( (* x (* x x)) 729) 216) #s(literal 216 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
✓	51.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	50.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	51.0%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 261 to 121 computations (53.6% saved)

regimes40.0ms (0.4%)

Memory

-19.6MiB live, 19.5MiB allocated

Counts

20 → 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 (* x x)) 729) 216) #s(literal 216 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(*.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 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) #s(approx (/ x (+ ( x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (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 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 (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x))) (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)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))

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

Calls

2 calls:

34.0ms	x
6.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

9 → 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 (* x x)) 729) 216) #s(literal 216 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(*.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 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))

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

Calls

2 calls:

3.0ms	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
99.8%	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)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #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 (* x x)) 729) 216) #s(literal 216 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))
(*.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)))

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

Calls

2 calls:

3.0ms	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
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%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #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 (* x x)) 729) 216) #s(literal 216 binary64)) #s(approx (/ x (+ (* x (+ (* x 81) 54)) 36)) (*.f64 x #s(literal 1/36 binary64))))

Outputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) 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
96.4%	3	`x`
96.4%	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)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 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)))

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

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
96.4%	2	`(.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)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.25563727428724	-1.1558864325425429

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-22.25563727428724	-1.1558864325425429

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify40.0ms (0.4%)

Memory

-32.3MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	106
1	52	106
2	72	106
3	82	106
4	89	106
5	91	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -20 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) x)) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #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 -20 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 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(.f64 x (-.f64 #s(literal 6 binary64) (.f64 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 -20 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) 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 -20 binary64)) (.f64 x #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64)))) (.f64 x #s(approx (* 3 (- 2 (* x 3))) #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 -20 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 -20 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)))

soundness1.3s (13.9%)

Memory

22.5MiB live, 369.8MiB 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	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
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Compiler

Compiled 145 to 77 computations (46.9% saved)

preprocess77.0ms (0.8%)

Memory: 22.8MiB live, 142.7MiB allocated
Compiler: Compiled 180 to 78 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.6s (27.8%)

explain91.0ms (1%)

preprocess69.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.4%)

localize26.0ms (0.3%)

series4.0ms (0%)

simplify126.0ms (1.4%)

rewrite650.0ms (7%)

eval162.0ms (1.7%)

prune263.0ms (2.8%)

simplify84.0ms (0.9%)

localize113.0ms (1.2%)

series9.0ms (0.1%)

simplify225.0ms (2.4%)

rewrite397.0ms (4.3%)

eval215.0ms (2.3%)

prune213.0ms (2.3%)

simplify472.0ms (5.1%)

localize395.0ms (4.2%)

series12.0ms (0.1%)

simplify232.0ms (2.5%)

rewrite402.0ms (4.3%)

eval137.0ms (1.5%)

prune154.0ms (1.7%)

simplify12.0ms (0.1%)

localize136.0ms (1.5%)

series15.0ms (0.2%)

simplify209.0ms (2.2%)

rewrite288.0ms (3.1%)

eval47.0ms (0.5%)

prune60.0ms (0.6%)

regimes40.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify40.0ms (0.4%)

soundness1.3s (13.9%)

preprocess77.0ms (0.8%)

end0.0ms (0%)

Profiling