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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample985.0ms (16.5%)

Memory

-13.0MiB live, 1 037.2MiB allocated

Samples

677.0ms	7 743×	0	valid
38.0ms	354×	1	valid
20.0ms	159×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-mult: 341.0ms (72.8% of total)

ival-sub: 99.0ms (21.1% of total)

adjust: 10.0ms (2.1% of total)

exact: 9.0ms (1.9% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain90.0ms (1.5%)

Memory

-20.5MiB live, 173.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms	432×	0	valid
5.0ms	56×	1	valid
3.0ms	24×	2	valid

Compiler

Compiled 94 to 32 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (65.9% of total)

ival-sub: 5.0ms (22% of total)

adjust: 1.0ms (4.4% of total)

exact: 1.0ms (4.4% of total)

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

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

preprocess59.0ms (1%)

Memory

34.7MiB live, 74.1MiB 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)

eval326.0ms (5.4%)

Memory: -53.9MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify38.0ms (0.6%)

Memory

17.3MiB live, 17.3MiB 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

localize21.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1171875	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.15234375	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
accuracy	0.16015625	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

11.0ms	216×	0	valid
3.0ms	28×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (72.6% of total)

ival-sub: 2.0ms (24.2% of total)

adjust: 1.0ms (12.1% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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))

simplify231.0ms (3.9%)

Memory

-5.5MiB live, 68.4MiB 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)

rewrite564.0ms (9.4%)

Memory

18.7MiB live, 208.3MiB 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>

eval269.0ms (4.5%)

Memory: -15.2MiB live, 222.3MiB allocated
Compiler: Compiled 18 066 to 2 310 computations (87.2% saved)

prune22.0ms (0.4%)

Memory

-4.6MiB live, 71.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	890	8	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	891	8	899

Accuracy

100.0%

Counts

899 → 8

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)))
	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
▶	99.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	57.2%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
▶	58.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
▶	45.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	58.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 112 to 96 computations (14.3% saved)

simplify108.0ms (1.8%)

Memory

13.7MiB live, 70.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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 -3 binary64) x #s(literal -2 binary64))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
cost-diff	0	(*.f64 x #s(literal -9 binary64))
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -9 binary64) (.f64 x x))
cost-diff	320	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	122
0	41	120
1	75	114
2	145	109
3	251	109
4	360	109
5	485	109
6	801	109
7	1286	109
8	1588	109
9	1860	109
10	2283	109
11	2473	109
12	2623	109
13	2875	109
14	2879	109
15	2885	109
16	2887	109
0	2887	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize98.0ms (1.6%)

Memory

-14.5MiB live, 144.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.18359375	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
accuracy	0.610394325973594	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.228847509768442	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.15234375	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy	27.16775543243292	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy	0.15234375	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	35.323301591618154	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.162441259768442	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

56.0ms	186×	0	valid
12.0ms	51×	1	valid
6.0ms	19×	2	valid

Compiler

Compiled 213 to 49 computations (77% saved)

Precisions

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

ival-mult: 37.0ms (71.6% of total)

ival-add: 4.0ms (7.7% of total)

ival-div: 4.0ms (7.7% of total)

adjust: 3.0ms (5.8% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series12.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB 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 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(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 (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 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -9 x) 6)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -9 x) 6)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -9 x) 6)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (patch (.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) (patch #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -9 binary64)) (patch (.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
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) (* (* x 3) (+ (* -3 x) -2)) (* x 3) (+ (* -3 x) -2) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (/ 1 (* (+ (* -3 x) 2) x)) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2))
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) (* (* x 3) (+ (* -3 x) -2)) (* x 3) (+ (* -3 x) -2) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (/ 1 (* (+ (* -3 x) 2) x)) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2))
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) (* (* x 3) (+ (* -3 x) -2)) (* x 3) (+ (* -3 x) -2) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (/ 1 (* (+ (* -3 x) 2) x)) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2))

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify143.0ms (2.4%)

Memory

-20.3MiB live, 208.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	966
1	253	966
2	634	960
3	1405	960
4	2381	956
5	4981	956
0	8106	860

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

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

rewrite252.0ms (4.2%)

Memory

15.5MiB live, 349.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
0	41	104
1	137	97
2	892	93
0	9420	86

Stop Event

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

Counts

15 → 1 611

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
(*.f64 x #s(literal -9 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))
(/.f64 #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
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval281.0ms (4.7%)

Memory: 25.9MiB live, 508.1MiB allocated
Compiler: Compiled 30 399 to 2 783 computations (90.8% saved)

prune108.0ms (1.8%)

Memory

-15.3MiB live, 131.1MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 784	7	1 791
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1 787	12	1 799

Accuracy

100.0%

Counts

1 799 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) x))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	99.6%	(/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 1/3 binary64))
▶	45.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
▶	58.2%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	57.4%	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
✓	57.2%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
✓	58.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	45.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	58.3%	#s(approx (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	3.3%	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Compiler

Compiled 130 to 112 computations (13.8% saved)

simplify7.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	121
0	43	121
1	70	121
2	129	118
3	172	118
0	172	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1.8%)

Memory

-0.6MiB live, 146.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.18359375	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
accuracy	0.688519325973594	(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy	27.080526013323794	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.18359375	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	34.36962733721252	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
accuracy	0.140625	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
accuracy	0	(*.f64 #s(literal -6 binary64) x)
accuracy	35.59133609922576	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.15234375	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

50.0ms	218×	0	valid
31.0ms	13×	2	valid
7.0ms	25×	1	valid

Compiler

Compiled 179 to 51 computations (71.5% saved)

Precisions

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

ival-add: 29.0ms (44.2% of total)

ival-mult: 22.0ms (33.5% of total)

ival-div: 8.0ms (12.2% of total)

const: 4.0ms (6.1% of total)

adjust: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series13.0ms (0.2%)

Memory

-2.8MiB live, 35.9MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

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

2.0ms

-inf

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

simplify126.0ms (2.1%)

Memory

-4.1MiB live, 159.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	920
1	207	920
2	545	908
3	1150	908
4	2009	900
5	4932	900
0	8171	825

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite182.0ms (3%)

Memory

-17.2MiB live, 229.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	107
0	43	107
1	164	107
2	856	104
3	7101	104
0	8006	100

Stop Event

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

Counts

13 → 536

Calls

Call 1

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

Outputs
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eval163.0ms (2.7%)

Memory: 32.4MiB live, 147.5MiB allocated
Compiler: Compiled 10 199 to 1 498 computations (85.3% saved)

prune22.0ms (0.4%)

Memory

-21.8MiB live, 50.7MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	692	0	692
Fresh	0	3	3
Picked	0	5	5
Done	0	4	4
Total	692	12	704

Accuracy

100.0%

Counts

704 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) x))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	99.6%	(/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 1/3 binary64))
✓	45.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	58.2%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	57.4%	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
✓	57.2%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
✓	58.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	45.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	58.3%	#s(approx (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	3.3%	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Compiler

Compiled 78 to 67 computations (14.1% saved)

simplify11.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
0	28	63
1	44	62
2	71	62
3	131	61
4	191	60
5	217	60
6	272	60
7	324	60
8	351	60
9	357	60
10	359	60
0	359	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.9%)

Memory

-0.6MiB live, 86.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -6 binary64) x)
accuracy	0.1640625	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) x))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.25	(/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x) #s(literal 1/3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.162441259768442	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	26.628566042289847	#s(approx (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Samples

27.0ms	208×	0	valid
8.0ms	33×	1	valid
5.0ms	15×	2	valid

Compiler

Compiled 121 to 34 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (35.7% of total)

ival-div: 7.0ms (25% of total)

const: 6.0ms (21.4% of total)

ival-add: 3.0ms (10.7% of total)

adjust: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

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

series6.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify147.0ms (2.5%)

Memory

-11.0MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	488
1	101	488
2	234	488
3	541	488
4	1068	488
5	1967	488
6	4682	488
7	7471	488
0	8139	443

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

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

rewrite198.0ms (3.3%)

Memory

-9.4MiB live, 239.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
0	28	51
1	93	50
2	551	50
3	4960	50
0	8603	49

Stop Event

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

Counts

8 → 481

Calls

Call 1

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

Outputs
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eval157.0ms (2.6%)

Memory: 19.1MiB live, 169.4MiB allocated
Compiler: Compiled 9 079 to 1 354 computations (85.1% saved)

prune23.0ms (0.4%)

Memory

5.4MiB live, 75.4MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	593	2	595
Fresh	0	0	0
Picked	1	2	3
Done	1	8	9
Total	595	12	607

Accuracy

100.0%

Counts

607 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.3%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) x))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	45.0%	(/.f64 (.f64 #s(approx (+ ( -3 x) 2) #s(literal 2 binary64)) x) #s(literal 1/3 binary64))
✓	45.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.6%	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (/.f64 x #s(literal -1/3 binary64)))
✓	57.4%	(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) x)
✓	57.2%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
✓	58.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	45.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	58.3%	#s(approx (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	3.3%	#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Compiler

Compiled 201 to 122 computations (39.3% saved)

regimes16.0ms (0.3%)

Memory

-16.9MiB live, 32.8MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
5.0ms	(.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)

regimes7.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-16.8MiB live, 22.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory

9.9MiB live, 10.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
45.1%	1	`x`
45.1%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes102.0ms (1.7%)

Memory

-27.6MiB live, 5.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

101.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
1.0ms	x

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-576084220.9848636	-0.006582012701796836

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-576084220.9848636	-0.006582012701796836

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify48.0ms (0.8%)

Memory

28.0MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -500000000 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -500000000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -500000000 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64))) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) #s(literal -500000000 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) x)) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -500000000 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 -500000000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* x 3) (+ (* -3 x) -2)) (*.f64 #s(literal -6 binary64) x))

soundness901.0ms (15%)

Memory

-44.4MiB live, 420.4MiB 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	97	966
1	253	966
2	634	960
3	1405	960
4	2381	956
5	4981	956
0	8106	860
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
1×	iter limit
1×	node limit

Compiler

Compiled 120 to 70 computations (41.7% saved)

preprocess72.0ms (1.2%)

Memory: -0.8MiB live, 122.0MiB allocated
Compiler: Compiled 168 to 82 computations (51.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	65
0	28	63
1	44	62
2	71	62
3	131	61
4	191	60
5	217	60
6	272	60
7	324	60
8	351	60
9	357	60
10	359	60
0	359	57

Iter	Nodes	Cost
0	21	65
0	28	63
1	44	62
2	71	62
3	131	61
4	191	60
5	217	60
6	272	60
7	324	60
8	351	60
9	357	60
10	359	60
0	359	57

start0.0ms (0%)

analyze0.0ms (0%)

sample985.0ms (16.5%)

explain90.0ms (1.5%)

preprocess59.0ms (1%)

eval326.0ms (5.4%)

prune1.0ms (0%)

simplify38.0ms (0.6%)

localize21.0ms (0.3%)

series4.0ms (0.1%)

simplify231.0ms (3.9%)

rewrite564.0ms (9.4%)

eval269.0ms (4.5%)

prune22.0ms (0.4%)

simplify108.0ms (1.8%)

localize98.0ms (1.6%)

series12.0ms (0.2%)

simplify143.0ms (2.4%)

rewrite252.0ms (4.2%)

eval281.0ms (4.7%)

prune108.0ms (1.8%)

simplify7.0ms (0.1%)

localize107.0ms (1.8%)

series13.0ms (0.2%)

simplify126.0ms (2.1%)

rewrite182.0ms (3%)

eval163.0ms (2.7%)

prune22.0ms (0.4%)

simplify11.0ms (0.2%)

localize54.0ms (0.9%)

series6.0ms (0.1%)

simplify147.0ms (2.5%)

rewrite198.0ms (3.3%)

eval157.0ms (2.6%)

prune23.0ms (0.4%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes102.0ms (1.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify48.0ms (0.8%)

soundness901.0ms (15%)

preprocess72.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	65
0	28	63
1	44	62
2	71	62
3	131	61
4	191	60
5	217	60
6	272	60
7	324	60
8	351	60
9	357	60
10	359	60
0	359	57