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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample808.0ms (10.9%)

Memory

17.6MiB live, 966.8MiB allocated

Samples

492.0ms	7 641×	0	valid
67.0ms	339×	1	valid
31.0ms	276×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-mult: 194.0ms (71.1% of total)

ival-sub: 49.0ms (18% of total)

adjust: 14.0ms (5.1% of total)

exact: 8.0ms (2.9% of total)

ival-true: 6.0ms (2.2% of total)

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

Bogosity

explain2.0s (27.1%)

Memory

-4.0MiB live, 155.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

21.0ms	432×	0	valid
6.0ms	44×	2	valid
3.0ms	36×	1	valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

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

ival-mult: 11.0ms (64.6% of total)

ival-sub: 3.0ms (17.6% of total)

adjust: 1.0ms (5.9% of total)

exact: 1.0ms (5.9% of total)

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

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

preprocess61.0ms (0.8%)

Memory

19.1MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify34.0ms (0.5%)

Memory

1.7MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize33.0ms (0.4%)

Memory

-19.5MiB live, 63.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.0625	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.13671875	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
accuracy	0.15625	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

15.0ms	216×	0	valid
8.0ms	22×	2	valid
2.0ms	18×	1	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-mult: 10.0ms (58.1% of total)

ival-sub: 6.0ms (34.8% of total)

adjust: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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))

simplify114.0ms (1.5%)

Memory

-5.7MiB live, 125.2MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite599.0ms (8.1%)

Memory

27.8MiB live, 219.8MiB allocated

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
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#<batchref>

eval316.0ms (4.3%)

Memory: -1.5MiB live, 151.6MiB allocated
Compiler: Compiled 18 066 to 2 310 computations (87.2% saved)

prune109.0ms (1.5%)

Memory

11.7MiB live, 48.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	887	11	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	888	11	899

Accuracy

100.0%

Counts

899 → 11

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)))
	46.0%	(/.f64 #s(literal 1 binary64) (/.f64 (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 x #s(literal 3 binary64)))))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
	99.8%	(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))
▶	54.1%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
▶	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
▶	48.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	54.1%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 178 to 152 computations (14.6% saved)

simplify85.0ms (1.1%)

Memory

-36.9MiB live, 48.7MiB 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)))

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)

localize54.0ms (0.7%)

Memory

27.4MiB live, 102.9MiB 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	0.17416000976844204	(.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	0.13671875	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	0.15625	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
accuracy	29.92890603335531	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.15625	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy	29.888525625927784	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy	0.15625	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	33.44353202261393	#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	0.15979254138909577	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

27.0ms	216×	0	valid
7.0ms	22×	2	valid
4.0ms	18×	1	valid

Compiler

Compiled 109 to 20 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 17.0ms (71.8% of total)

ival-add: 3.0ms (12.7% of total)

adjust: 2.0ms (8.4% of total)

ival-sub: 2.0ms (8.4% of total)

exact: 1.0ms (4.2% of total)

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

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

series13.0ms (0.2%)

Memory

-17.7MiB 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>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 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 (* x (+ 6 (* -9 x))) (taylor 0 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 (* x (+ 6 (* -9 x))) (taylor 0 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 (* x (+ 6 (* -9 x))) (taylor 0 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 6 (taylor 0 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 (+ 6 (* -9 x)) (taylor 0 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 (+ 6 (* -9 x)) (taylor 0 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 (+ 6 (* -9 x)) (taylor 0 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 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>) () ())) ())
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#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
4.0ms	x	@	-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	@	0	((+ (* 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	@	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))

Time

Variable

Point

Expression

4.0ms

-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))

simplify173.0ms (2.3%)

Memory

7.9MiB live, 134.1MiB allocated

Algorithm

1×	egg-herbie

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

rewrite212.0ms (2.9%)

Memory

-4.7MiB live, 268.0MiB allocated

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
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eval94.0ms (1.3%)

Memory: 3.2MiB live, 228.4MiB allocated
Compiler: Compiled 12 089 to 1 052 computations (91.3% saved)

prune36.0ms (0.5%)

Memory

-13.5MiB live, 80.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	763	2	765
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	766	10	776

Accuracy

100.0%

Counts

776 → 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)))
	46.0%	(/.f64 #s(literal 1 binary64) (/.f64 (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 x #s(literal 3 binary64)))))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
▶	54.1%	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	48.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	54.1%	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 136 to 116 computations (14.7% saved)

simplify234.0ms (3.1%)

Memory

17.5MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
cost-diff	1408	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
cost-diff	0	(*.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)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	132
0	45	126
1	77	120
2	108	120
3	202	120
4	350	120
5	506	120
6	741	120
7	1247	120
8	1660	120
9	2150	120
10	2994	120
11	3474	120
12	3972	120
13	4363	120
14	4667	120
15	4835	120
16	5215	120
17	5701	120
18	6121	120
19	6293	120
20	6395	120
21	6397	120
22	6397	120
23	6417	120
24	6441	120
25	6457	120
26	6487	120
0	6487	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (1.8%)

Memory

-6.8MiB live, 194.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.12613738554422602	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
accuracy	0.1875	(/.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	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
accuracy	0.21484375	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.08203125	(.f64 #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)) x)
accuracy	0.12890625	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
accuracy	29.92890603335531	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.15979254138909577	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	29.30282311017539	#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	0.15625	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

51.0ms	192×	0	valid
17.0ms	34×	1	valid
16.0ms	30×	2	valid

Compiler

Compiled 125 to 30 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 20.0ms (37% of total)

ival-div: 18.0ms (33.3% of total)

ival-add: 11.0ms (20.3% of total)

adjust: 4.0ms (7.4% of total)

ival-sub: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

series12.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

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

2.0ms

inf

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

2.0ms

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

simplify137.0ms (1.8%)

Memory

0.1MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1116
1	354	1112
2	811	1100
3	1701	1100
4	3688	1096
5	7226	1096
0	8239	985

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

rewrite258.0ms (3.5%)

Memory

-36.4MiB live, 238.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	115
0	45	109
1	168	103
2	942	103
0	8710	103

Stop Event

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

Counts

16 → 1 396

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

Outputs
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eval223.0ms (3%)

Memory: 23.1MiB live, 322.5MiB allocated
Compiler: Compiled 26 011 to 2 644 computations (89.8% saved)

prune35.0ms (0.5%)

Memory

-6.5MiB live, 120.8MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 585	3	1 588
Fresh	1	0	1
Picked	2	3	5
Done	0	4	4
Total	1 588	10	1 598

Accuracy

100.0%

Counts

1 598 → 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)))
▶	47.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
▶	47.9%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
✓	54.1%	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	48.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	54.1%	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 66 to 58 computations (12.1% saved)

simplify36.0ms (0.5%)

Memory

-4.7MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	87
0	33	85
1	46	85
2	65	85
3	116	84
4	169	82
5	267	82
6	298	82
7	335	82
8	378	82
9	417	82
10	440	82
11	453	82
12	456	82
0	456	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (1.3%)

Memory

27.4MiB live, 102.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.21484375	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
accuracy	33.251884437563426	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.1875	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	32.56350138181938	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
accuracy	0.30354437160969094	(/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))

Samples

44.0ms	27×	2	valid
33.0ms	198×	0	valid
8.0ms	31×	1	valid

Compiler

Compiled 83 to 24 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 18.0ms (46.6% of total)

const: 8.0ms (20.7% of total)

ival-mult: 6.0ms (15.5% of total)

ival-add: 3.0ms (7.8% of total)

adjust: 2.0ms (5.2% of total)

exact: 1.0ms (2.6% of total)

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

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

series15.0ms (0.2%)

Memory

-40.4MiB live, 11.3MiB allocated

Counts

9 → 108

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify149.0ms (2%)

Memory

34.1MiB live, 146.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	770
1	374	762
2	865	744
3	1787	744
4	3787	740
0	8085	677

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite256.0ms (3.4%)

Memory

1.2MiB live, 267.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	77
0	33	75
1	121	75
2	626	75
3	4735	75
0	8299	73

Stop Event

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

Counts

9 → 501

Calls

Call 1

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

Outputs
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eval188.0ms (2.5%)

Memory: 19.9MiB live, 209.3MiB allocated
Compiler: Compiled 8 344 to 1 660 computations (80.1% saved)

prune39.0ms (0.5%)

Memory

-11.6MiB live, 50.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	608	1	609
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	609	10	619

Accuracy

100.0%

Counts

619 → 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)))
✓	47.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	47.9%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
✓	54.1%	(.f64 (.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
✓	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	48.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	54.1%	#s(approx (+ (* x 6) (* -9 (* x x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 200 to 111 computations (44.5% saved)

regimes16.0ms (0.2%)

Memory

-5.2MiB live, 33.0MiB allocated

Counts

18 → 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) #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 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 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)) (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 3 binary64)))))

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

Calls

2 calls:

10.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
6.0ms	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)

regimes9.0ms (0.1%)

Memory

-6.2MiB live, 32.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Calls

2 calls:

5.0ms	x
3.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes28.0ms (0.4%)

Memory

-12.5MiB live, 26.3MiB allocated

Counts

8 → 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) #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))

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

Calls

2 calls:

24.0ms	x
3.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.3%	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

6.6MiB live, 6.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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
48.0%	1	`x`
48.0%	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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-13.571521515365433	-2.9197463373185752

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify59.0ms (0.8%)

Memory

-9.5MiB live, 73.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	71
1	42	71
2	54	71
3	60	71
4	64	71
5	65	71

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness644.0ms (8.7%)

Memory

-9.6MiB live, 228.3MiB allocated

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 91 to 57 computations (37.4% saved)

preprocess97.0ms (1.3%)

Memory: 27.9MiB live, 139.1MiB allocated
Compiler: Compiled 132 to 76 computations (42.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	87
0	33	85
1	46	85
2	65	85
3	116	84
4	169	82
5	267	82
6	298	82
7	335	82
8	378	82
9	417	82
10	440	82
11	453	82
12	456	82
0	456	81

Iter	Nodes	Cost
0	26	87
0	33	85
1	46	85
2	65	85
3	116	84
4	169	82
5	267	82
6	298	82
7	335	82
8	378	82
9	417	82
10	440	82
11	453	82
12	456	82
0	456	81

start0.0ms (0%)

analyze0.0ms (0%)

sample808.0ms (10.9%)

explain2.0s (27.1%)

preprocess61.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify34.0ms (0.5%)

localize33.0ms (0.4%)

series5.0ms (0.1%)

simplify114.0ms (1.5%)

rewrite599.0ms (8.1%)

eval316.0ms (4.3%)

prune109.0ms (1.5%)

simplify85.0ms (1.1%)

localize54.0ms (0.7%)

series13.0ms (0.2%)

simplify173.0ms (2.3%)

rewrite212.0ms (2.9%)

eval94.0ms (1.3%)

prune36.0ms (0.5%)

simplify234.0ms (3.1%)

localize132.0ms (1.8%)

series12.0ms (0.2%)

simplify137.0ms (1.8%)

rewrite258.0ms (3.5%)

eval223.0ms (3%)

prune35.0ms (0.5%)

simplify36.0ms (0.5%)

localize98.0ms (1.3%)

series15.0ms (0.2%)

simplify149.0ms (2%)

rewrite256.0ms (3.4%)

eval188.0ms (2.5%)

prune39.0ms (0.5%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes28.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify59.0ms (0.8%)

soundness644.0ms (8.7%)

preprocess97.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	87
0	33	85
1	46	85
2	65	85
3	116	84
4	169	82
5	267	82
6	298	82
7	335	82
8	378	82
9	417	82
10	440	82
11	453	82
12	456	82
0	456	81