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)

sample791.0ms (12.4%)

Memory

-29.9MiB live, 1 168.1MiB allocated

Samples

410.0ms	7 621×	0	valid
46.0ms	292×	2	valid
27.0ms	343×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-mult: 265.0ms (79.1% of total)

ival-sub: 45.0ms (13.4% of total)

adjust: 10.0ms (3% of total)

exact: 7.0ms (2.1% of total)

ival-true: 5.0ms (1.5% of total)

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

Bogosity

explain121.0ms (1.9%)

Memory

23.5MiB live, 136.9MiB 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

43.0ms	56×	1	valid
19.0ms	410×	0	valid
6.0ms	46×	2	valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

adjust: 40.0ms (71.8% of total)

ival-mult: 11.0ms (19.8% of total)

ival-sub: 3.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess74.0ms (1.2%)

Memory

-21.5MiB live, 63.1MiB 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)

eval2.0ms (0%)

Memory: 3.5MiB live, 3.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.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)

simplify35.0ms (0.6%)

Memory

17.9MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

-14.9MiB live, 70.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.07421875	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.16015625	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
accuracy	0.18359375	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

12.0ms	205×	0	valid
3.0ms	23×	2	valid
2.0ms	28×	1	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-mult: 7.0ms (64.8% of total)

ival-sub: 3.0ms (27.8% of total)

adjust: 1.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify113.0ms (1.8%)

Memory

27.1MiB live, 139.4MiB 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)

rewrite447.0ms (7%)

Memory

-12.6MiB live, 356.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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)))

eval127.0ms (2%)

Memory: 15.5MiB live, 206.5MiB allocated
Compiler: Compiled 18 066 to 2 310 computations (87.2% saved)

prune77.0ms (1.2%)

Memory

-11.0MiB live, 63.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
	99.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	99.6%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
	99.6%	(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
▶	53.1%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
▶	53.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
▶	49.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	53.2%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 144 to 124 computations (13.9% saved)

simplify56.0ms (0.9%)

Memory

-8.3MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 016×	`lower-fma.f32`
1 012×	`lower-fma.f64`
720×	`lower-*.f32`
700×	`lower-*.f64`
338×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	37	128
1	61	119
2	104	115
3	171	115
4	261	115
5	325	115
6	431	115
7	620	115
8	764	115
9	862	115
10	1109	115
11	1273	115
12	1477	115
13	1497	115
14	1505	115
15	1517	115
16	1525	115
0	1525	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (1.2%)

Memory

16.8MiB live, 91.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.234375	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.16015625	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	0.18359375	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
accuracy	30.506107505784588	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.18359375	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy	30.466688159479034	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy	0.18359375	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	32.65657883818038	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0625	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.16369879138909577	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

47.0ms	205×	0	valid
7.0ms	23×	2	valid
6.0ms	28×	1	valid

Compiler

Compiled 109 to 20 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 26.0ms (56.3% of total)

ival-mult: 16.0ms (34.7% of total)

adjust: 2.0ms (4.3% of total)

ival-sub: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

series28.0ms (0.4%)

Memory

-17.4MiB live, 20.4MiB allocated

Counts

15 → 180

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

19.0ms

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

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

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

simplify169.0ms (2.6%)

Memory

0.8MiB live, 117.8MiB 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	844
1	82	844
2	169	844
3	406	844
4	989	844
5	1304	844
6	2523	844
7	4977	844
8	6832	844
9	7930	844
0	8268	754

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite344.0ms (5.4%)

Memory

8.3MiB live, 311.0MiB allocated

Rules

9 568×	`lower-fma.f32`
9 564×	`lower-fma.f64`
4 310×	`lower-*.f32`
4 290×	`lower-*.f64`
1 794×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	114
0	37	114
1	98	105
2	614	101
3	5823	101
0	8280	95

Stop Event

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

Counts

15 → 585

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1296 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
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(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (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) (fma.f64 #s(literal -6 binary64) x #s(literal 4 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) (.f64 x x)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -4 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 (/.f64 #s(literal 8 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 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.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) #s(literal 4 binary64)) #s(literal 16 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) #s(literal 4 binary64)) (neg.f64 (.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -9 binary64) x) x #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (neg.f64 (.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal -3 binary64) x) x) (/.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 (*.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 #s(literal 3 binary64) x) x) (/.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 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal 9 binary64) (.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 #s(literal 8 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)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 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 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64) #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 #s(literal -3 binary64) 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 #s(literal -3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) 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 #s(literal 3 binary64) (neg.f64 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 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 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #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 #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 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(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)))
(+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (neg.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #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 #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 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x))
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))
(*.f64 (neg.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 x)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 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 #s(literal 3 binary64) x)) #s(literal 1 binary64)))

eval151.0ms (2.4%)

Memory: -5.8MiB live, 179.8MiB allocated
Compiler: Compiled 12 074 to 1 050 computations (91.3% saved)

prune35.0ms (0.6%)

Memory

-15.5MiB live, 74.4MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	760	5	765
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	763	12	775

Accuracy

100.0%

Counts

775 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(fma.f64 (/.f64 (.f64 #s(literal 36 binary64) x) x) (/.f64 x (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	91.7%	(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 36 binary64) x) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
▶	99.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
▶	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	53.1%	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	53.1%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
	53.1%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	53.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	49.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	53.2%	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 214 to 166 computations (22.4% saved)

simplify160.0ms (2.5%)

Memory

28.5MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x)))))
cost-diff	128	(-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))
cost-diff	1024	(/.f64 (*.f64 #s(literal 36 binary64) x) x)
cost-diff	7232	(fma.f64 (/.f64 (.f64 #s(literal 36 binary64) x) x) (/.f64 x (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))))
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 (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(.f64 #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
cost-diff	0	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))
cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Rules

4 140×	`lower-fma.f32`
4 134×	`lower-fma.f64`
2 918×	`lower-*.f32`
2 898×	`lower-*.f64`
2 260×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	197
0	61	197
1	117	177
2	229	177
3	482	177
4	1147	172
5	2707	172
6	5636	172
0	8113	165

Stop Event

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

Calls

Call 1

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

localize163.0ms (2.6%)

Memory

-0.1MiB live, 242.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.25387797402712164	(/.f64 (*.f64 #s(literal 36 binary64) x) x)
accuracy	0.3328810254915723	(/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
accuracy	0.48825796519519515	(/.f64 x (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
accuracy	4.951860642074681	(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.078125	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.171875	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
accuracy	0.5598827514512963	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.078125	(.f64 #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)) x)
accuracy	0.23046875	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
accuracy	30.506107505784588	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.16369879138909577	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	29.89084706386618	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.18359375	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

46.0ms	190×	0	valid
38.0ms	31×	2	valid
17.0ms	35×	1	valid

Compiler

Compiled 188 to 39 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 27.0ms (34.5% of total)

ival-pow: 20.0ms (25.6% of total)

ival-div: 14.0ms (17.9% of total)

ival-add: 6.0ms (7.7% of total)

adjust: 5.0ms (6.4% of total)

ival-sub: 3.0ms (3.8% of total)

ival-neg: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series40.0ms (0.6%)

Memory

3.6MiB live, 40.2MiB allocated

Counts

20 → 240

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

Calls

3 calls:

Time

Variable

Point

Expression

27.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify225.0ms (3.5%)

Memory

-0.5MiB live, 270.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 298×	`lower-fma.f64`
10 298×	`lower-fma.f32`
3 408×	`lower-*.f64`
3 408×	`lower-*.f32`
3 208×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1518
1	663	1494
2	1649	1464
3	4077	1442
0	8213	1300

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

rewrite696.0ms (10.9%)

Memory

19.4MiB live, 488.7MiB allocated

Rules

6 106×	`lower-fma.f32`
6 100×	`lower-fma.f64`
5 450×	`lower-*.f32`
5 430×	`lower-*.f64`
4 534×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	169
0	61	167
1	236	146
2	1672	146
0	8814	140

Stop Event

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

Counts

20 → 1 067

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) x))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (.f64 #s(literal 3 binary64) x)) (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 36 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 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 6 binary64)) #s(literal -729 binary64) (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (.f64 #s(literal 6 binary64) x) (.f64 (.f64 #s(literal -9 binary64) x) x)) (.f64 (.f64 #s(literal -54 binary64) x) (.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) (-.f64 (.f64 (.f64 #s(literal 36 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (.f64 #s(literal 6 binary64) x) (.f64 (.f64 #s(literal -9 binary64) x) x)) (.f64 (.f64 #s(literal -54 binary64) x) (.f64 x x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x)) (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x)) (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 (.f64 x (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 (neg.f64 (.f64 x (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 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (.f64 (.f64 #s(literal 36 binary64) x) x))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 #s(literal 6 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 36 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64))))) (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal 6 binary64) x) (.f64 (.f64 #s(literal -9 binary64) x) x)) (.f64 (.f64 #s(literal -54 binary64) x) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))))
(/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (.f64 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))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (.f64 (.f64 #s(literal 36 binary64) x) x)) (-.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 #s(literal 6 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 36 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (-.f64 (.f64 (.f64 #s(literal 36 binary64) x) x) (.f64 (.f64 #s(literal -54 binary64) x) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal 6 binary64) x) (.f64 (.f64 #s(literal -9 binary64) x) x)) (.f64 (.f64 #s(literal -54 binary64) x) (*.f64 x x)))))
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(neg.f64 (/.f64 #s(literal -81 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
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eval282.0ms (4.4%)

Memory: -4.1MiB live, 510.2MiB allocated
Compiler: Compiled 40 897 to 3 852 computations (90.6% saved)

prune91.0ms (1.4%)

Memory

4.2MiB live, 92.8MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 347	4	1 351
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	1 350	13	1 363

Accuracy

100.0%

Counts

1 363 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 (/.f64 (.f64 #s(literal 36 binary64) x) x) (/.f64 x (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) #s(approx (neg (* (pow x 3) (/ 81 (- 6 (* -9 x))))) (.f64 (.f64 x x) #s(literal -9 binary64))))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	91.7%	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
▶	49.5%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
▶	53.1%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	53.1%	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	53.1%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
▶	53.1%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	53.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	49.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	53.2%	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 170 to 139 computations (18.2% saved)

simplify190.0ms (3%)

Memory

-13.6MiB live, 60.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 368×	`lower-fma.f32`
2 362×	`lower-fma.f64`
1 648×	`lower-*.f32`
1 638×	`lower-*.f64`
1 080×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	169
0	53	169
1	84	167
2	134	167
3	219	167
4	320	167
5	426	167
6	533	167
7	763	167
8	1050	167
9	1151	167
10	1649	167
11	3116	167
12	4187	167
13	4628	167
14	4647	167
15	4664	167
16	4669	167
17	4784	167
18	4824	167
19	4824	167
20	4825	167
21	4829	167
0	4829	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize150.0ms (2.4%)

Memory

0.2MiB live, 115.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
accuracy	0.0703125	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x)
accuracy	5.299514827904887	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.171875	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
accuracy	0.6301952514512963	(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy	30.372650901998874	#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	0.171875	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	31.72379298089847	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.234375	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	30.506107505784588	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy	0.21875	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy	0.32057300566333546	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))

Samples

47.0ms	184×	0	valid
21.0ms	35×	1	valid
14.0ms	33×	2	valid
2.0ms	4×	3	valid

Compiler

Compiled 151 to 35 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 25.0ms (42.2% of total)

ival-mult: 15.0ms (25.3% of total)

const: 6.0ms (10.1% of total)

ival-add: 6.0ms (10.1% of total)

adjust: 4.0ms (6.7% of total)

ival-sub: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

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

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

series15.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify223.0ms (3.5%)

Memory

-48.7MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 336×	`lower-fma.f64`
8 336×	`lower-fma.f32`
3 242×	`lower-*.f64`
3 242×	`lower-*.f32`
2 844×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1234
1	385	1230
2	909	1212
3	2037	1212
4	4614	1204
5	7934	1204
0	8379	1105

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite223.0ms (3.5%)

Memory

50.8MiB live, 358.7MiB allocated

Rules

6 868×	`lower-fma.f32`
6 862×	`lower-fma.f64`
4 734×	`lower-*.f32`
4 724×	`lower-*.f64`
3 808×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	144
0	53	139
1	202	135
2	1207	135
0	9324	129

Stop Event

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

Counts

17 → 1 008

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (.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 81 binary64) (.f64 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 (/.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 -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64))) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -54 binary64) x))) #s(literal -1 binary64)))
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(pow.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)))) (.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (fma.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -36 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1296 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64)))) (neg.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1679616 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1296 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 282429536481 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1679616 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 8503056 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 282429536481 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 46656 binary64)) (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 150094635296999121 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -101559956668416 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 282429536481 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 2176782336 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -24794911296 binary64)))) (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)) #s(literal 1296 binary64))) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))))
(/.f64 (-.f64 #s(literal 1296 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64))) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64))) (neg.f64 (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (*.f64 #s(literal -54 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64))) (neg.f64 (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64)))
(/.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (*.f64 #s(literal -54 binary64) x))))
(/.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (-.f64 #s(literal 1296 binary64) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (*.f64 #s(literal -54 binary64) x))) (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)) #s(literal -36 binary64))
(fma.f64 (*.f64 #s(literal 81 binary64) x) x #s(literal -36 binary64))
(fma.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) #s(literal -9 binary64) #s(literal -36 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))))
(fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal -36 binary64))
(fma.f64 (.f64 #s(literal -9 binary64) x) (.f64 #s(literal -9 binary64) x) #s(literal -36 binary64))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(fma.f64 #s(literal -9 binary64) (.f64 (.f64 #s(literal -9 binary64) x) x) #s(literal -36 binary64))
(fma.f64 x (*.f64 #s(literal 81 binary64) x) #s(literal -36 binary64))
(-.f64 (/.f64 #s(literal 1296 binary64) (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (.f64 x x))))) (/.f64 #s(literal 46656 binary64) (+.f64 #s(literal 1296 binary64) (hypot.f64 (.f64 #s(literal -54 binary64) x) (.f64 #s(literal 81 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64))) (neg.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))))
(+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))
(+.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))

eval210.0ms (3.3%)

Memory: -9.7MiB live, 351.9MiB allocated
Compiler: Compiled 21 593 to 2 286 computations (89.4% saved)

prune86.0ms (1.3%)

Memory

8.5MiB live, 83.8MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1 237	5	1 242
Fresh	1	0	1
Picked	4	1	5
Done	0	7	7
Total	1 242	13	1 255

Accuracy

100.0%

Counts

1 255 → 13

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)))
	48.1%	(/.f64 (.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
	53.2%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
	49.5%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.2%	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
✓	53.1%	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	53.1%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
	53.2%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (/.f64 x #s(literal -1/3 binary64))))
✓	53.1%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	53.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	49.5%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	53.2%	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 331 to 166 computations (49.8% saved)

regimes21.0ms (0.3%)

Memory

-13.5MiB live, 24.4MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
7.0ms	x

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes31.0ms (0.5%)

Memory

-35.4MiB live, 8.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	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
97.4%	3	`x`
97.4%	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)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-11.215515594002666	-9.984729204137263e-5

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify42.0ms (0.7%)

Memory

11.0MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-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	25	63
1	36	63
2	48	63
3	54	63
4	58	63
5	59	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #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 -10 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (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 -10 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 -10 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)

soundness682.0ms (10.7%)

Memory

32.0MiB live, 260.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 83 to 53 computations (36.1% saved)

preprocess157.0ms (2.5%)

Memory: -27.1MiB live, 148.1MiB allocated
Compiler: Compiled 116 to 68 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample791.0ms (12.4%)

explain121.0ms (1.9%)

preprocess74.0ms (1.2%)

eval2.0ms (0%)

prune0.0ms (0%)

simplify35.0ms (0.6%)

localize29.0ms (0.5%)

series4.0ms (0.1%)

simplify113.0ms (1.8%)

rewrite447.0ms (7%)

eval127.0ms (2%)

prune77.0ms (1.2%)

simplify56.0ms (0.9%)

localize76.0ms (1.2%)

series28.0ms (0.4%)

simplify169.0ms (2.6%)

rewrite344.0ms (5.4%)

eval151.0ms (2.4%)

prune35.0ms (0.6%)

simplify160.0ms (2.5%)

localize163.0ms (2.6%)

series40.0ms (0.6%)

simplify225.0ms (3.5%)

rewrite696.0ms (10.9%)

eval282.0ms (4.4%)

prune91.0ms (1.4%)

simplify190.0ms (3%)

localize150.0ms (2.4%)

series15.0ms (0.2%)

simplify223.0ms (3.5%)

rewrite223.0ms (3.5%)

eval210.0ms (3.3%)

prune86.0ms (1.3%)

regimes21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes31.0ms (0.5%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.7%)

soundness682.0ms (10.7%)

preprocess157.0ms (2.5%)

end0.0ms (0%)

Profiling