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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample686.0ms (11.4%)

Memory

-4.1MiB live, 949.8MiB allocated

Samples

390.0ms	7 647×	0	valid
29.0ms	275×	2	valid
24.0ms	334×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 204.0ms (73.5% of total)

ival-sub: 48.0ms (17.3% of total)

adjust: 10.0ms (3.6% of total)

exact: 7.0ms (2.5% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain190.0ms (3.2%)

Memory

20.5MiB live, 211.1MiB 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

38.0ms	414×	0	valid
9.0ms	60×	1	valid
9.0ms	38×	2	valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 23.0ms (69.6% of total)

ival-sub: 6.0ms (18.2% of total)

adjust: 2.0ms (6.1% of total)

ival-true: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

preprocess84.0ms (1.4%)

Memory

-4.1MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 9 to 7 computations (22.2% saved)

simplify41.0ms (0.7%)

Memory

-2.4MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.9%)

Memory

-12.5MiB live, 68.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.09375	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.15234375	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

19.0ms	207×	0	valid
5.0ms	30×	1	valid
4.0ms	19×	2	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (68.2% of total)

ival-sub: 3.0ms (20.5% of total)

adjust: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
2.0ms	x	@	-inf	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
2.0ms	x	@	0	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify167.0ms (2.8%)

Memory

-1.7MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite334.0ms (5.6%)

Memory

15.8MiB live, 372.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 850

Calls

Call 1

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

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

eval215.0ms (3.6%)

Memory: -11.2MiB live, 194.8MiB allocated
Compiler: Compiled 18 066 to 2 310 computations (87.2% saved)

prune48.0ms (0.8%)

Memory

-4.3MiB live, 49.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	889	9	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	890	9	899

Accuracy

100.0%

Counts

899 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
	99.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
▶	52.4%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
▶	53.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
▶	50.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	53.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 128 to 110 computations (14.1% saved)

simplify91.0ms (1.5%)

Memory

15.7MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 360×	`lower-fma.f32`
1 354×	`lower-fma.f64`
768×	`lower-*.f32`
754×	`lower-*.f64`
382×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	111
0	40	111
1	70	107
2	127	94
3	232	94
4	364	94
5	491	94
6	808	94
7	1248	94
8	1776	94
9	2266	94
10	2625	94
11	2781	94
12	2847	94
13	2857	94
14	2861	94
15	2867	94
16	2871	94
0	2871	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (1.7%)

Memory

-27.2MiB live, 128.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy	0.23828125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy	0.3628845289134305	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.174160009768442	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.15234375	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy	30.533694125271754	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy	0.15234375	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	32.22920810327148	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.03125	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.12728500976844204	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

35.0ms	185×	0	valid
13.0ms	41×	1	valid
10.0ms	30×	2	valid

Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 18.0ms (56% of total)

ival-div: 4.0ms (12.4% of total)

ival-add: 4.0ms (12.4% of total)

adjust: 3.0ms (9.3% of total)

ival-sub: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

series12.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify182.0ms (3%)

Memory

-7.1MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 056×	`lower-fma.f64`
8 056×	`lower-fma.f32`
2 828×	`lower-*.f64`
2 828×	`lower-*.f32`
1 668×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	866
1	239	862
2	574	856
3	1218	856
4	2079	856
5	4765	856
0	8036	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))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -6 x)
(* x (- (* -9 x) 6))
(* x (- (* -9 x) 6))
(* x (- (* -9 x) 6))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
-2
(- (* -3 x) 2)
(- (* -3 x) 2)
(- (* -3 x) 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -3 x)
(* -1 (* x (+ 3 (* 2 (/ 1 x)))))
(* -1 (* x (+ 3 (* 2 (/ 1 x)))))
(* -1 (* x (+ 3 (* 2 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -3 x)
(* -1 (* x (+ 3 (* 2 (/ 1 x)))))
(* -1 (* x (+ 3 (* 2 (/ 1 x)))))
(* -1 (* x (+ 3 (* 2 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))

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

rewrite302.0ms (5%)

Memory

-19.0MiB live, 284.3MiB allocated

Rules

12 110×	`lower-fma.f32`
12 104×	`lower-fma.f64`
5 444×	`lower-*.f32`
5 430×	`lower-*.f64`
3 294×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	96
0	40	96
1	138	90
2	895	78
0	9280	78

Stop Event

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

Counts

14 → 1 941

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (+.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))))
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 x #s(literal 54 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal 36 binary64))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 6 binary64) x))))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 6 binary64) x))))
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (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 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -24 binary64)) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1296 binary64) (.f64 (*.f64 x x) #s(literal 2916 binary64))))))
(/.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))))
(/.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 9 binary64)) #s(literal 10077696 binary64)) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 46656 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -157464 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 9 binary64)) #s(literal 10077696 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x))) (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 46656 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -157464 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (neg.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x)))))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x))))))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))))))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x))))
(/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal 1 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 #s(literal 9 binary64) (*.f64 x x))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x)) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (+.f64 #s(literal 36 binary64) (.f64 #s(literal -54 binary64) x))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #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))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) #s(literal 6 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x)) #s(literal 6 binary64))
(+.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 6 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x)))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))

eval646.0ms (10.8%)

Memory: 25.4MiB live, 674.9MiB allocated
Compiler: Compiled 34 696 to 2 346 computations (93.2% saved)

prune53.0ms (0.9%)

Memory

25.7MiB live, 178.7MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	2 101	8	2 109
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	2 104	14	2 118

Accuracy

100.0%

Counts

2 118 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	98.7%	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (pow.f64 x #s(literal -1 binary64))))
	75.9%	(/.f64 x (exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))))
	50.0%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
▶	99.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	52.4%	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
✓	52.4%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
▶	53.2%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* -3 x) -2) (*.f64 #s(literal -3 binary64) x)))
✓	53.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	50.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	53.3%	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	3.7%	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Compiler

Compiled 184 to 158 computations (14.1% saved)

simplify13.0ms (0.2%)

Memory

-18.2MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

172×	`lower-*.f32`
158×	`lower-*.f64`
120×	`lower-fma.f32`
114×	`lower-fma.f64`
106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	108
0	41	104
1	71	104
2	143	101
3	220	101
4	237	101
5	259	101
6	312	101
7	379	101
8	385	101
0	385	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.8%)

Memory

29.6MiB live, 147.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.23828125	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
accuracy	0.3164386466512132	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.174160009768442	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* -3 x) -2) (*.f64 #s(literal -3 binary64) x)))
accuracy	30.54565400977612	#s(approx (+ (* -3 x) -2) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
accuracy	0.140625	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
accuracy	0	(*.f64 #s(literal -6 binary64) x)
accuracy	32.40293912632964	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.15234375	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

46.0ms	42×	2	valid
23.0ms	157×	0	valid
13.0ms	57×	1	valid

Compiler

Compiled 106 to 26 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 37.0ms (56.3% of total)

ival-mult: 17.0ms (25.9% of total)

ival-add: 6.0ms (9.1% of total)

adjust: 4.0ms (6.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series13.0ms (0.2%)

Memory

-21.9MiB live, 15.9MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify132.0ms (2.2%)

Memory

-2.5MiB live, 101.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 956×	`lower-fma.f64`
6 956×	`lower-fma.f32`
2 972×	`lower-*.f64`
2 972×	`lower-*.f32`
1 852×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	906
1	265	906
2	686	900
3	1428	900
4	2412	896
5	5012	896
0	8143	800

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite182.0ms (3%)

Memory

-2.9MiB live, 310.2MiB allocated

Rules

7 014×	`lower-fma.f32`
7 008×	`lower-fma.f64`
4 160×	`lower-*.f32`
4 146×	`lower-*.f64`
2 894×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
0	41	88
1	142	88
2	771	85
3	6772	85
0	8250	83

Stop Event

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

Counts

14 → 916

Calls

Call 1

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

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

eval152.0ms (2.5%)

Memory: 26.3MiB live, 256.0MiB allocated
Compiler: Compiled 17 722 to 2 424 computations (86.3% saved)

prune97.0ms (1.6%)

Memory

-41.6MiB live, 92.9MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 081	3	1 084
Fresh	1	4	5
Picked	1	4	5
Done	0	4	4
Total	1 083	15	1 098

Accuracy

100.0%

Counts

1 098 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	61.2%	(/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (fma.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))
	75.9%	(/.f64 x (exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))))
▶	50.0%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
▶	50.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
▶	53.2%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	52.4%	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
✓	52.4%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
✓	53.2%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* -3 x) -2) (*.f64 #s(literal -3 binary64) x)))
✓	53.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	50.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	53.3%	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	3.7%	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Compiler

Compiled 168 to 145 computations (13.7% saved)

simplify8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

96×	`lower-*.f32`
90×	`lower-*.f64`
58×	`lower-/.f32`
48×	`lower-/.f64`
34×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
0	40	141
1	58	138
2	75	138
3	102	138
4	121	138
5	130	138
6	137	138
7	145	138
0	145	130

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (1.7%)

Memory

-15.6MiB live, 104.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.23828125	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
accuracy	0.4023761466512132	(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy	30.517978243199604	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.23828125	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	31.356043833406257	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.23828125	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
accuracy	32.04620876308342	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.12728500976844204	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	29.813942962323047	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 6 binary64) x)
accuracy	0.1640625	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))

Samples

49.0ms	215×	0	valid
7.0ms	24×	1	valid
6.0ms	17×	2	valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 11.0ms (30.6% of total)

ival-mult: 10.0ms (27.8% of total)

ival-add: 6.0ms (16.7% of total)

const: 6.0ms (16.7% of total)

adjust: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

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

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

series10.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify133.0ms (2.2%)

Memory

-5.3MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 216×	`lower-fma.f64`
7 216×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
1 734×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	986
1	297	982
2	672	964
3	1296	964
4	2661	956
5	5906	956
0	8098	893

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite173.0ms (2.9%)

Memory

8.4MiB live, 277.0MiB allocated

Rules

8 438×	`lower-fma.f32`
8 436×	`lower-fma.f64`
4 878×	`lower-*.f32`
4 872×	`lower-*.f64`
3 358×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	122
0	40	122
1	154	119
2	837	119
3	7443	119
0	8334	111

Stop Event

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

Counts

13 → 401

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (fma.f64 #s(literal -54 binary64) x #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (-.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 #s(literal 81 binary64) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -54 binary64) x #s(literal 36 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (-.f64 (pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 531441 binary64) (pow.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) (pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (*.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 36 binary64) x) x (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))))))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (*.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) (pow.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) #s(literal -1 binary64))) (fma.f64 #s(literal 36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 46656 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -54 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 46656 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64))) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -387420489 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 531441 binary64) (-.f64 (.f64 #s(literal 46656 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -54 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 36 binary64) x) x (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64))))) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
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eval144.0ms (2.4%)

Memory: 19.8MiB live, 151.3MiB allocated
Compiler: Compiled 7 798 to 1 155 computations (85.2% saved)

prune204.0ms (3.4%)

Memory

-27.0MiB live, 53.3MiB allocated

Pruning

15 alts after pruning (2 fresh and 13 done)

	Pruned	Kept	Total
New	617	0	617
Fresh	0	2	2
Picked	0	5	5
Done	0	8	8
Total	617	15	632

Accuracy

100.0%

Counts

632 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	61.2%	(/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (fma.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))
	75.9%	(/.f64 x (exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))))
✓	50.0%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	50.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	53.2%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	52.4%	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
✓	52.4%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
✓	53.2%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* -3 x) -2) (*.f64 #s(literal -3 binary64) x)))
✓	53.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	50.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	53.3%	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	3.7%	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Compiler

Compiled 276 to 173 computations (37.3% saved)

regimes13.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	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 10 to 8 computations (20% saved)

regimes103.0ms (1.7%)

Memory

-23.5MiB live, 14.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

99.0ms	x
4.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #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
98.2%	3	`x`
98.2%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes104.0ms (1.7%)

Memory

-23.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

102.0ms	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
3.7%	1	`x`
3.7%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8133.904518581338	-8.012200060831069e-20

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8133.904518581338	-8.012200060831069e-20

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify143.0ms (2.4%)

Memory

15.9MiB live, 53.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	112
1	51	112
2	63	112
3	69	112
4	73	112
5	74	112

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness875.0ms (14.6%)

Memory

-18.8MiB live, 516.5MiB allocated

Rules

15 340×	`lower-fma.f64`
15 340×	`lower-fma.f32`
8 056×	`lower-fma.f64`
8 056×	`lower-fma.f32`
4 142×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	82	216
2	169	216
3	406	216
4	986	216
5	1305	216
6	2534	216
7	4986	216
8	6846	216
9	7939	216
0	8285	189
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17
0	89	866
1	239	862
2	574	856
3	1218	856
4	2079	856
5	4765	856
0	8036	769

Stop Event

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

Compiler

Compiled 120 to 70 computations (41.7% saved)

preprocess72.0ms (1.2%)

Memory: 17.0MiB live, 130.8MiB allocated
Compiler: Compiled 168 to 82 computations (51.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	108
0	41	104
1	71	104
2	143	101
3	220	101
4	237	101
5	259	101
6	312	101
7	379	101
8	385	101
0	385	99

Iter	Nodes	Cost
0	31	141
0	40	141
1	58	138
2	75	138
3	102	138
4	121	138
5	130	138
6	137	138
7	145	138
0	145	130

Iter	Nodes	Cost
0	27	108
0	41	104
1	71	104
2	143	101
3	220	101
4	237	101
5	259	101
6	312	101
7	379	101
8	385	101
0	385	99

Iter	Nodes	Cost
0	31	141
0	40	141
1	58	138
2	75	138
3	102	138
4	121	138
5	130	138
6	137	138
7	145	138
0	145	130

start0.0ms (0%)

analyze0.0ms (0%)

sample686.0ms (11.4%)

explain190.0ms (3.2%)

preprocess84.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.7%)

localize57.0ms (0.9%)

series8.0ms (0.1%)

simplify167.0ms (2.8%)

rewrite334.0ms (5.6%)

eval215.0ms (3.6%)

prune48.0ms (0.8%)

simplify91.0ms (1.5%)

localize100.0ms (1.7%)

series12.0ms (0.2%)

simplify182.0ms (3%)

rewrite302.0ms (5%)

eval646.0ms (10.8%)

prune53.0ms (0.9%)

simplify13.0ms (0.2%)

localize106.0ms (1.8%)

series13.0ms (0.2%)

simplify132.0ms (2.2%)

rewrite182.0ms (3%)

eval152.0ms (2.5%)

prune97.0ms (1.6%)

simplify8.0ms (0.1%)

localize101.0ms (1.7%)

series10.0ms (0.2%)

simplify133.0ms (2.2%)

rewrite173.0ms (2.9%)

eval144.0ms (2.4%)

prune204.0ms (3.4%)

regimes13.0ms (0.2%)

regimes103.0ms (1.7%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes104.0ms (1.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify143.0ms (2.4%)

soundness875.0ms (14.6%)

preprocess72.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	108
0	41	104
1	71	104
2	143	101
3	220	101
4	237	101
5	259	101
6	312	101
7	379	101
8	385	101
0	385	99

Iter	Nodes	Cost
0	31	141
0	40	141
1	58	138
2	75	138
3	102	138
4	121	138
5	130	138
6	137	138
7	145	138
0	145	130