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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample525.0ms (16.8%)

Memory

224.2MiB live, 224.2MiB allocated

Samples

281.0ms	7 648×	0	valid
28.0ms	286×	2	valid
22.0ms	322×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 141.0ms (68.2% of total)

ival-sub: 41.0ms (19.8% of total)

adjust: 9.0ms (4.4% of total)

exact: 7.0ms (3.4% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain104.0ms (3.3%)

Memory

53.7MiB live, 53.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms	424×	0	valid
5.0ms	46×	2	valid
3.0ms	42×	1	valid

Compiler

Compiled 148 to 76 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (63.5% of total)

ival-sub: 3.0ms (19.1% of total)

adjust: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess52.0ms (1.7%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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)

simplify27.0ms (0.9%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize19.0ms (0.6%)

Memory

8.8MiB live, 8.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.09375	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.12109375	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
accuracy	0.1640625	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

9.0ms	212×	0	valid
3.0ms	23×	2	valid
2.0ms	21×	1	valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

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

ival-mult: 5.0ms (65.9% of total)

ival-sub: 2.0ms (26.3% of total)

adjust: 1.0ms (13.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify87.0ms (2.8%)

Memory

15.7MiB live, 15.7MiB 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)

rewrite147.0ms (4.7%)

Memory

63.9MiB live, 63.9MiB 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>

eval91.0ms (2.9%)

Memory: 81.9MiB live, 81.9MiB allocated
Compiler: Compiled 18 066 to 2 310 computations (87.2% saved)

prune32.0ms (1%)

Memory

38.3MiB live, 38.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

899 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
	99.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.8%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
▶	48.8%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
▶	48.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
▶	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	48.8%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 128 to 110 computations (14.1% saved)

simplify81.0ms (2.6%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	39	131
1	63	127
2	90	115
3	136	115
4	228	115
5	366	115
6	604	115
7	1026	115
8	1518	115
9	1797	115
10	2197	115
11	2481	115
12	2794	115
13	3026	115
14	3084	115
15	3104	115
16	3120	115
17	3126	115
18	3126	115
0	3126	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (2%)

Memory

23.8MiB live, 23.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
accuracy	0.21484375	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.12109375	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
accuracy	0.1640625	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	33.4429766482545	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 x #s(literal -9 binary64))
accuracy	0.12109375	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy	33.38068348055549	#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy	0.12109375	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	29.5737746604596	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.1171875	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

26.0ms	187×	0	valid
12.0ms	37×	2	valid
8.0ms	32×	1	valid

Compiler

Compiled 201 to 44 computations (78.1% saved)

Precisions

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

ival-mult: 15.0ms (52.6% of total)

ival-div: 4.0ms (14% of total)

adjust: 3.0ms (10.5% of total)

ival-add: 3.0ms (10.5% of total)

ival-sub: 2.0ms (7% of total)

exact: 1.0ms (3.5% of total)

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

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

series12.0ms (0.4%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))
2.0ms	x	@	0	((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))
2.0ms	x	@	inf	((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify102.0ms (3.3%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	918
1	219	914
2	484	908
3	1024	908
4	2294	908
5	4184	908
6	6870	908
0	8088	812

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite153.0ms (4.9%)

Memory

49.9MiB live, 49.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	39	117
1	118	113
2	667	101
3	6596	101
0	8016	98

Stop Event

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

Counts

15 → 813

Calls

Call 1

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

Outputs
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eval123.0ms (3.9%)

Memory: 81.7MiB live, 81.7MiB allocated
Compiler: Compiled 16 042 to 1 659 computations (89.7% saved)

prune34.0ms (1.1%)

Memory

41.7MiB live, 41.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	989	4	993
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	994	8	1 002

Accuracy

100.0%

Counts

1 002 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	91.3%	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
▶	53.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	48.8%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	48.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	48.8%	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 92 to 77 computations (16.3% saved)

simplify128.0ms (4.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
cost-diff	0	(*.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
cost-diff	0	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
cost-diff	0	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))
cost-diff	0	(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	32	130
0	46	127
1	77	125
2	119	125
3	177	125
4	237	125
5	304	125
6	338	125
7	448	125
8	657	125
9	729	125
10	782	125
11	835	125
12	898	125
13	995	125
14	1066	125
15	1479	125
16	2707	125
17	3715	125
18	3906	125
19	3926	125
20	3949	125
21	3956	125
22	4086	125
23	4134	125
24	4134	125
0	4134	123

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

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

localize85.0ms (2.7%)

Memory

30.6MiB live, 30.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
accuracy	0.06640625	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x)
accuracy	5.5097820407502995	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.127285009768442	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	33.4429766482545	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0.21484375	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
accuracy	29.39716441488132	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.1171875	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	32.706516026988915	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.12109375	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

33.0ms	171×	0	valid
17.0ms	41×	2	valid
13.0ms	40×	1	valid
2.0ms	4×	3	valid

Compiler

Compiled 218 to 56 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 19.0ms (43.5% of total)

ival-div: 6.0ms (13.7% of total)

ival-add: 6.0ms (13.7% of total)

adjust: 5.0ms (11.5% of total)

const: 4.0ms (9.2% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series13.0ms (0.4%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

simplify86.0ms (2.7%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	930
1	263	926
2	606	920
3	1398	920
4	3339	920
5	6477	920
0	8234	833

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite137.0ms (4.4%)

Memory

54.8MiB live, 54.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	108
0	46	98
1	171	96
2	910	96
0	8671	94

Stop Event

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

Counts

14 → 1 170

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

Outputs
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eval162.0ms (5.2%)

Memory: 112.2MiB live, 112.2MiB allocated
Compiler: Compiled 25 096 to 2 165 computations (91.4% saved)

prune41.0ms (1.3%)

Memory

53.5MiB live, 53.5MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 364	1	1 365
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1 365	8	1 373

Accuracy

100.0%

Counts

1 373 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	53.3%	(/.f64 (.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
✓	53.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	48.8%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	48.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	48.8%	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 51 to 44 computations (13.7% saved)

simplify3.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	16	44
1	25	44
2	31	44
3	32	44
0	32	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (1%)

Memory

11.8MiB live, 11.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
accuracy	0.06640625	(.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) x)
accuracy	5.5097820407502995	(/.f64 (.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
accuracy	29.756833503902783	#s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64))

Samples

16.0ms	212×	0	valid
3.0ms	24×	1	valid
3.0ms	16×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 65 to 22 computations (66.2% saved)

Precisions

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

ival-mult: 7.0ms (48.1% of total)

ival-add: 3.0ms (20.6% of total)

ival-div: 2.0ms (13.7% of total)

adjust: 1.0ms (6.9% of total)

exact: 1.0ms (6.9% of total)

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

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

series4.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36) (+ (* -9 x) -6))

1.0ms

-inf

((/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36) (+ (* -9 x) -6))

1.0ms

((/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36) (+ (* -9 x) -6))

simplify82.0ms (2.6%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	296
1	98	296
2	246	296
3	613	296
4	1367	296
5	3557	296
6	4506	296
7	6017	296
0	8075	260

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite128.0ms (4.1%)

Memory

40.4MiB live, 40.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	16	40
1	64	40
2	416	40
3	3764	40
0	8465	37

Stop Event

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

Counts

4 → 268

Calls

Call 1

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

Outputs
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eval43.0ms (1.4%)

Memory: 28.9MiB live, 28.9MiB allocated
Compiler: Compiled 6 404 to 850 computations (86.7% saved)

prune15.0ms (0.5%)

Memory

16.0MiB live, 16.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	315	1	316
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	316	8	324

Accuracy

100.0%

Counts

324 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	54.0%	(/.f64 (.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) x) #s(approx (+ (* -9 x) -6) #s(literal -6 binary64)))
✓	53.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	48.8%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	48.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
✓	54.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	48.8%	#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 169 to 96 computations (43.2% saved)

regimes11.0ms (0.4%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	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
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.3%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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
54.1%	1	`x`
54.1%	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)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-446226.3449698122	-0.00032674303294000267

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify28.0ms (0.9%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	36	63
2	48	63
3	54	63
4	58	63
5	59	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -400000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -400000 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 -400000 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)

soundness407.0ms (13%)

Memory

3.7MiB live, 3.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 83 to 53 computations (36.1% saved)

preprocess51.0ms (1.6%)

Memory: 38.8MiB live, 38.8MiB allocated
Compiler: Compiled 116 to 68 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample525.0ms (16.8%)

explain104.0ms (3.3%)

preprocess52.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.9%)

localize19.0ms (0.6%)

series4.0ms (0.1%)

simplify87.0ms (2.8%)

rewrite147.0ms (4.7%)

eval91.0ms (2.9%)

prune32.0ms (1%)

simplify81.0ms (2.6%)

localize63.0ms (2%)

series12.0ms (0.4%)

simplify102.0ms (3.3%)

rewrite153.0ms (4.9%)

eval123.0ms (3.9%)

prune34.0ms (1.1%)

simplify128.0ms (4.1%)

localize85.0ms (2.7%)

series13.0ms (0.4%)

simplify86.0ms (2.7%)

rewrite137.0ms (4.4%)

eval162.0ms (5.2%)

prune41.0ms (1.3%)

simplify3.0ms (0.1%)

localize32.0ms (1%)

series4.0ms (0.1%)

simplify82.0ms (2.6%)

rewrite128.0ms (4.1%)

eval43.0ms (1.4%)

prune15.0ms (0.5%)

regimes11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify28.0ms (0.9%)

soundness407.0ms (13%)

preprocess51.0ms (1.6%)

end0.0ms (0%)

Profiling