Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample871.0ms (11.9%)

Memory

5.1MiB live, 1 228.4MiB allocated

Samples

636.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-mult: 215.0ms (56.2% of total)

ival-sub: 149.0ms (39% of total)

exact: 9.0ms (2.4% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain267.0ms (3.6%)

Memory

-217.4MiB live, 137.0MiB allocated

FPErrors

Click to see full error table

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

25.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (74.5% of total)

ival-sub: 3.0ms (22.3% of total)

exact: 1.0ms (7.4% of total)

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

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

preprocess62.0ms (0.8%)

Memory

-11.8MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify24.0ms (0.3%)

Memory

32.8MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.4%)

Memory

-2.7MiB live, 40.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.078125	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

22.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 11.0ms (88.1% of total)

ival-sub: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-29.2MiB live, 8.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms	x	@	inf	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms	x	@	-inf	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))

simplify213.0ms (2.9%)

Memory

10.8MiB live, 201.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	63	220
2	165	220
3	493	220
4	1143	220
5	2033	220
6	2896	220
7	3653	220
8	5407	220
9	6071	220
10	6439	220
0	8223	202

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite207.0ms (2.8%)

Memory

15.5MiB live, 270.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18

Stop Event

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

Counts

4 → 287

Calls

Call 1

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

Outputs
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eval38.0ms (0.5%)

Memory: -3.9MiB live, 72.3MiB allocated
Compiler: Compiled 8 146 to 963 computations (88.2% saved)

prune15.0ms (0.2%)

Memory

0.2MiB live, 38.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	323	12	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	12	336

Accuracy

100.0%

Counts

336 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.6%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	95.8%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
▶	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
▶	99.8%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
	74.8%	(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
▶	99.9%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	74.8%	(.f64 (.f64 x x) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
	77.1%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
▶	58.3%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	77.2%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 298 to 204 computations (31.5% saved)

simplify244.0ms (3.3%)

Memory

-18.5MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	154
0	38	154
1	65	152
2	124	152
3	279	152
4	444	152
5	525	152
6	623	152
7	877	152
8	1091	152
9	1179	152
10	1846	152
11	3311	152
12	4103	152
13	4578	152
14	5461	152
15	5707	152
16	6705	152
17	7501	152
18	7743	152
19	7827	152
20	7827	152
21	7827	152
22	7827	152
23	7827	152
24	7875	152
25	7906	152
26	7906	152
0	8042	152

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize64.0ms (0.9%)

Memory

27.3MiB live, 103.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.078125	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	2.634368087116172	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.09765625	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
accuracy	14.908998812167587	(/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.09375	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0	(*.f64 x x)
accuracy	0.078125	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	33.88297656980949	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Samples

38.0ms	232×	0	valid
5.0ms	11×	2	valid
3.0ms	11×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 168 to 26 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 19.0ms (64.7% of total)

ival-add: 4.0ms (13.6% of total)

ival-div: 3.0ms (10.2% of total)

adjust: 1.0ms (3.4% of total)

ival-sub: 1.0ms (3.4% of total)

exact: 1.0ms (3.4% of total)

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

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

series53.0ms (0.7%)

Memory

-15.4MiB live, 24.9MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (patch (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	-inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))
2.0ms	x	@	0	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))
2.0ms	x	@	inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))

Time

Variable

Point

Expression

44.0ms

-inf

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))

2.0ms

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))

2.0ms

inf

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))

simplify120.0ms (1.6%)

Memory

28.8MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1106
1	301	1098
2	759	1098
3	2038	1090
4	4963	1082
5	7833	1082
0	8295	977

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 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)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal -2/9 binary64)) x #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal -2/9 binary64)) x #s(literal 1/3 binary64)) x) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) (*.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) (*.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) (*.f64 x x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x)
(* x (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x)
(* x (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 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)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
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rewrite327.0ms (4.4%)

Memory

-10.3MiB live, 306.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	38	95
1	131	93
2	858	93
0	9077	93

Stop Event

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

Counts

13 → 2 585

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)

Outputs
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eval570.0ms (7.7%)

Memory: 23.3MiB live, 819.9MiB allocated
Compiler: Compiled 72 793 to 3 755 computations (94.8% saved)

prune134.0ms (1.8%)

Memory

19.7MiB live, 252.6MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	3 124	9	3 133
Fresh	7	0	7
Picked	2	3	5
Done	0	0	0
Total	3 133	12	3 145

Accuracy

100.0%

Counts

3 145 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.3%	(/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
	73.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
✓	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	45.6%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)))
▶	62.5%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
▶	99.8%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
✓	99.9%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	58.2%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	77.1%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	58.3%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	77.2%	#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 234 to 177 computations (24.4% saved)

simplify295.0ms (4%)

Memory

-19.2MiB live, 136.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	1088	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff	0	#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	0	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	224
0	56	224
1	105	215
2	236	215
3	715	215
4	1831	215
5	2715	215
6	4326	215
7	5393	215
8	6253	215
9	7974	215
0	8321	213

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (3.1%)

Memory

-1.3MiB live, 157.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.078125	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	0.10546875	(.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
accuracy	18.72790295451447	(/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.14453125	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.09765625	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
accuracy	0.19140625	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	33.885814869569145	#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
accuracy	0.08203125	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
accuracy	0.09375	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy	33.88297656980949	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.09375	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
accuracy	0.203125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))

Samples

102.0ms	221×	0	valid
29.0ms	18×	1	valid
12.0ms	15×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 227 to 38 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 55.0ms (54.2% of total)

ival-mult: 29.0ms (28.6% of total)

ival-div: 9.0ms (8.9% of total)

const: 4.0ms (3.9% of total)

adjust: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series18.0ms (0.2%)

Memory

-14.7MiB live, 22.5MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) (patch (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (patch (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 2/9 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) (patch (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) (patch (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) (patch (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) (patch (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (patch (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (patch (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (patch (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (patch (fma.f64 #s(literal -4 binary64) (.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 (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/4 (/ 1 x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -8 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((/ x (/ 1 (+ (* x -2) 3))) (* (/ x (/ 1 (+ (* x -2) 3))) x) (/ 1 (+ (* x -2) 3)) (+ (* x -2) 3) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (* x x) (/ (* x x) (+ (* 2 x) 3)) (/ (* x x) (/ 1 (+ (* x -2) 3))) (/ (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (+ (* 4 (* x x)) -9)) (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (* 1/3 (* x x)))

3.0ms

((/ x (/ 1 (+ (* x -2) 3))) (* (/ x (/ 1 (+ (* x -2) 3))) x) (/ 1 (+ (* x -2) 3)) (+ (* x -2) 3) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (* x x) (/ (* x x) (+ (* 2 x) 3)) (/ (* x x) (/ 1 (+ (* x -2) 3))) (/ (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (+ (* 4 (* x x)) -9)) (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (* 1/3 (* x x)))

3.0ms

inf

((/ x (/ 1 (+ (* x -2) 3))) (* (/ x (/ 1 (+ (* x -2) 3))) x) (/ 1 (+ (* x -2) 3)) (+ (* x -2) 3) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (* x x) (/ (* x x) (+ (* 2 x) 3)) (/ (* x x) (/ 1 (+ (* x -2) 3))) (/ (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (+ (* 4 (* x x)) -9)) (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (* 1/3 (* x x)))

simplify169.0ms (2.3%)

Memory

15.8MiB live, 160.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1497
1	579	1480
2	1500	1476
3	3662	1464
0	8300	1336

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -27 (pow x 2))
(* (pow x 2) (- (* 18 x) 27))
(* (pow x 2) (- (* x (+ 18 (* 12 x))) 27))
(* (pow x 2) (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* -4 (pow x 2))))
(* x (+ 9 (* -4 (pow x 2))))
(* x (+ 9 (* -4 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -8 (pow x 5))
(* (pow x 5) (- (* 12 (/ 1 x)) 8))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -8 (pow x 5))
(* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))

Outputs
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) 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)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal -2/9 binary64)) x #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal -2/9 binary64)) x #s(literal 1/3 binary64)) x) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -27 (pow x 2))
(.f64 #s(literal -27 binary64) (.f64 x x))
(* (pow x 2) (- (* 18 x) 27))
(.f64 (.f64 (fma.f64 #s(literal 18 binary64) x #s(literal -27 binary64)) x) x)
(* (pow x 2) (- (* x (+ 18 (* 12 x))) 27))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(* (pow x 2) (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) (*.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) (*.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) (*.f64 x x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -4 (pow x 2))))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* x (+ 9 (* -4 (pow x 2))))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* x (+ 9 (* -4 (pow x 2))))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -3/4 binary64))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 9/8 binary64) x) x) #s(literal 1/2 binary64)) x #s(literal -3/4 binary64))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x) #s(literal -3/4 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -8 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -8 binary64))
(* (pow x 5) (- (* 12 (/ 1 x)) 8))
(*.f64 (-.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
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(* -4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 #s(literal -4 binary64) 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -3/4 binary64))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 9/8 binary64) x) x) #s(literal 1/2 binary64)) x #s(literal -3/4 binary64))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x) #s(literal -3/4 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* -2 (pow x 3))
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(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -8 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -8 binary64))
(* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 18 binary64)) x)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -4 (pow x 4))
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(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))

rewrite275.0ms (3.7%)

Memory

-34.2MiB live, 277.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	171
0	56	159
1	213	148
2	1493	148
0	9213	146

Stop Event

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

Counts

17 → 1 364

Calls

Call 1

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

Outputs
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eval411.0ms (5.6%)

Memory: 76.4MiB live, 591.0MiB allocated
Compiler: Compiled 43 823 to 3 719 computations (91.5% saved)

prune117.0ms (1.6%)

Memory

-38.7MiB live, 178.3MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 976	6	1 982
Fresh	2	2	4
Picked	4	1	5
Done	0	3	3
Total	1 982	12	1 994

Accuracy

100.0%

Counts

1 994 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	45.7%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
▶	77.1%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
▶	68.3%	(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
✓	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	77.1%	(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) x)
✓	99.9%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	77.1%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	58.2%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	58.3%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	58.2%	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
▶	77.2%	#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 198 to 154 computations (22.2% saved)

simplify54.0ms (0.7%)

Memory

7.9MiB live, 83.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
cost-diff	0	#s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
cost-diff	0	#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
cost-diff	0	#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	300
0	75	300
1	127	300
2	238	300
3	703	300
4	1821	294
5	2864	294
6	2952	294
7	2959	294
8	2960	294
9	2960	294
10	2962	294
0	2962	284

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(literal 9 binary64)
#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
#s(literal 2/9 binary64)
#s(literal 1/3 binary64)
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
#s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64))
(fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64))
(fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64))
#s(literal -8 binary64)
x
#s(literal 12 binary64)
#s(literal 18 binary64)
#s(literal -27 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
#s(literal -9 binary64)

Outputs
#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 #s(approx (/ ( x x) (+ (* 2 x) 3)) (.f64 (.f64 x x) #s(literal 1/3 binary64))) #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)))
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(literal 9 binary64)
#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
#s(literal 2/9 binary64)
#s(literal 1/3 binary64)
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
#s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64))
(fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64))
(fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64))
#s(literal -8 binary64)
x
#s(literal 12 binary64)
#s(literal 18 binary64)
#s(literal -27 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
#s(literal -9 binary64)

localize317.0ms (4.3%)

Memory

3.7MiB live, 228.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
accuracy	0.10546875	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
accuracy	18.72790295451447	(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.14453125	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	29.193233359640207	#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.14453125	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
accuracy	0.21875	(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
accuracy	34.26217207789107	#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))
accuracy	0.09765625	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
accuracy	0.19140625	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	33.885814869569145	#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
accuracy	34.498298027152295	#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
accuracy	14.619551567414243	#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Samples

275.0ms	254×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 247 to 52 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-div: 182.0ms (70.6% of total)

ival-mult: 45.0ms (17.5% of total)

ival-add: 17.0ms (6.6% of total)

const: 6.0ms (2.3% of total)

ival-pow: 5.0ms (1.9% of total)

exact: 2.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.3%)

Memory

3.4MiB live, 38.5MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (patch #s(approx (/ ( (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) (patch #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))) (patch #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 #s(approx ( (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (patch #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (patch #s(approx (/ ( (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt #s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (patch #s(approx (/ ( (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt #s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (patch #s(approx (/ ( (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt #s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (patch #s(approx (/ ( (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 #s(approx ( (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 #s(approx ( (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 #s(approx ( (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (patch (/.f64 #s(approx ( (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -8 (pow x 5)) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (patch #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (patch #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x))))) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (patch #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x))))) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (patch #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 12 (/ 1 x)) 8)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- 18 (* 27 (/ 1 x))) x)) 12) x)) 8)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 8 (* 12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (pow x 3) -2) (pow x 3) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (* 1/3 (* x x)) (/ (* x x) (/ 1 (+ (* x -2) 3))) (* x x) (/ 1 (+ (* x -2) 3)) (+ (* 2/9 x) 1/3) (/ (* x x) (/ 1 (+ (* x -2) 3))) (/ 1 (+ (* x -2) 3)) (/ -1/2 x) (/ (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (+ (* 4 (* x x)) -9)) (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (* (* (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27) x) x) (* (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27) x) (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27))

3.0ms

inf

((/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (pow x 3) -2) (pow x 3) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (* 1/3 (* x x)) (/ (* x x) (/ 1 (+ (* x -2) 3))) (* x x) (/ 1 (+ (* x -2) 3)) (+ (* 2/9 x) 1/3) (/ (* x x) (/ 1 (+ (* x -2) 3))) (/ 1 (+ (* x -2) 3)) (/ -1/2 x) (/ (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (+ (* 4 (* x x)) -9)) (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (* (* (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27) x) x) (* (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27) x) (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27))

2.0ms

((/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (pow x 3) -2) (pow x 3) (* (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3))) (+ (* -4 (* x x)) 9) (/ (* x x) (+ (* 2 x) 3)) (* 1/3 (* x x)) (/ (* x x) (/ 1 (+ (* x -2) 3))) (* x x) (/ 1 (+ (* x -2) 3)) (+ (* 2/9 x) 1/3) (/ (* x x) (/ 1 (+ (* x -2) 3))) (/ 1 (+ (* x -2) 3)) (/ -1/2 x) (/ (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (+ (* 4 (* x x)) -9)) (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (* (* (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27) x) x) (* (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27) x) (+ (* (+ (* (+ (* -8 x) 12) x) 18) x) -27))

simplify161.0ms (2.2%)

Memory

-9.2MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	1737
1	611	1716
2	1744	1686
3	4661	1666
0	8197	1578

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* 2/9 x))
(+ 1/3 (* 2/9 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -27 (pow x 2))
(* (pow x 2) (- (* 18 x) 27))
(* (pow x 2) (- (* x (+ 18 (* 12 x))) 27))
(* (pow x 2) (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(* -27 (pow x 2))
(* (pow x 2) (- (* 18 x) 27))
(* (pow x 2) (- (* x (+ 18 (* 12 x))) 27))
(* (pow x 2) (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(* -27 x)
(* x (- (* 18 x) 27))
(* x (- (* x (+ 18 (* 12 x))) 27))
(* x (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
-27
(- (* 18 x) 27)
(- (* x (+ 18 (* 12 x))) 27)
(- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* 1/2 x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(* 2/9 x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -8 (pow x 5))
(* (pow x 5) (- (* 12 (/ 1 x)) 8))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
(* -8 (pow x 5))
(* (pow x 5) (- (* 12 (/ 1 x)) 8))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(* (pow x 5) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
(* -8 (pow x 4))
(* (pow x 4) (- (* 12 (/ 1 x)) 8))
(* (pow x 4) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(* (pow x 4) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 12 (/ 1 x)) 8))
(* (pow x 3) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(* (pow x 3) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* 1/2 x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(* 2/9 x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -8 (pow x 5))
(* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))
(* -8 (pow x 5))
(* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))
(* -8 (pow x 4))
(* (pow x 4) (- (* 12 (/ 1 x)) 8))
(* (pow x 4) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- 18 (* 27 (/ 1 x))) x)) 12) x)) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 12 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal -2/9 binary64)) x #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal -2/9 binary64)) x #s(literal 1/3 binary64)) x) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(+ 1/3 (* 2/9 x))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(+ 1/3 (* 2/9 x))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -27 (pow x 2))
(.f64 #s(literal -27 binary64) (.f64 x x))
(* (pow x 2) (- (* 18 x) 27))
(.f64 (.f64 (fma.f64 #s(literal 18 binary64) x #s(literal -27 binary64)) x) x)
(* (pow x 2) (- (* x (+ 18 (* 12 x))) 27))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(* (pow x 2) (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(* -27 (pow x 2))
(.f64 #s(literal -27 binary64) (.f64 x x))
(* (pow x 2) (- (* 18 x) 27))
(.f64 (.f64 (fma.f64 #s(literal 18 binary64) x #s(literal -27 binary64)) x) x)
(* (pow x 2) (- (* x (+ 18 (* 12 x))) 27))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(* (pow x 2) (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(* -27 x)
(*.f64 #s(literal -27 binary64) x)
(* x (- (* 18 x) 27))
(*.f64 (fma.f64 #s(literal 18 binary64) x #s(literal -27 binary64)) x)
(* x (- (* x (+ 18 (* 12 x))) 27))
(*.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
(* x (- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
-27
#s(literal -27 binary64)
(- (* 18 x) 27)
(fma.f64 #s(literal 18 binary64) x #s(literal -27 binary64))
(- (* x (+ 18 (* 12 x))) 27)
(fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 18 binary64)) x #s(literal -27 binary64))
(- (* x (+ 18 (* x (+ 12 (* -8 x))))) 27)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -3/4 binary64))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x #s(literal -3/4 binary64))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) x) (-.f64 (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 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)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x)
(* 2/9 x)
(*.f64 #s(literal 2/9 binary64) x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -8 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -8 binary64))
(* (pow x 5) (- (* 12 (/ 1 x)) 8))
(*.f64 (-.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
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(* (pow x 3) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) (+ 8 (* 27 (/ 1 (pow x 3))))))
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(* -2 (pow x 3))
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(* -2 (pow x 3))
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(* -2 (pow x 3))
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(pow x 3)
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(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -3/4 binary64))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(fma.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x #s(literal -3/4 binary64))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 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)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x)
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x)
(* 2/9 x)
(*.f64 #s(literal 2/9 binary64) x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(* -2 (pow x 3))
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(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -1/2 x)
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(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
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(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
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(/ -1/2 x)
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(/ -1/2 x)
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(/ -1/2 x)
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(/ -1/2 x)
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(* -2 (pow x 3))
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(* -1 (* (pow x 5) (- 8 (* 12 (/ 1 x)))))
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(* -8 (pow x 5))
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(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 27 binary64) x)) x) #s(literal -12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -8 (pow x 4))
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(* (pow x 4) (- (* 12 (/ 1 x)) 8))
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(* (pow x 4) (- (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))) 8))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) #s(literal -8 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- 18 (* 27 (/ 1 x))) x)) 12) x)) 8))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 27 binary64) x)) x) #s(literal -12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -8 (pow x 3))
(*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 8 (* 12 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- (* 27 (/ 1 x)) 18) x))) x)))))
(.f64 (.f64 (fma.f64 #s(literal -8 binary64) x (-.f64 (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 27 binary64) x)) x) #s(literal -12 binary64))) x) x)

rewrite223.0ms (3%)

Memory

-2.8MiB live, 271.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	256
0	75	256
1	296	256
2	1889	256
0	8240	242

Stop Event

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

Counts

19 → 226

Calls

Call 1

Inputs
#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
(*.f64 x x)
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
#s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64))

Outputs
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eval306.0ms (4.2%)

Memory: 20.6MiB live, 94.9MiB allocated
Compiler: Compiled 8 814 to 1 226 computations (86.1% saved)

prune46.0ms (0.6%)

Memory

-31.1MiB live, 49.1MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	498	4	502
Fresh	2	1	3
Picked	3	2	5
Done	0	4	4
Total	503	11	514

Accuracy

100.0%

Counts

514 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.1%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
✓	68.3%	(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
✓	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.9%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	77.1%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	58.2%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	58.3%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	1.5%	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/4 binary64))))
	99.7%	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)))
	58.2%	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))
	2.9%	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 466 to 207 computations (55.6% saved)

regimes20.0ms (0.3%)

Memory

12.6MiB live, 49.7MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/4 binary64))))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) x)
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (.f64 (.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) x)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 #s(approx (* (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) -3)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 12 binary64)) x #s(literal 18 binary64)) x #s(literal -27 binary64)) x) x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))

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

Calls

2 calls:

11.0ms	x
8.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-20.6MiB live, 17.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
58.3%	1	`x`
58.3%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (*.f64 #s(literal 1/2 binary64) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
2.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
2.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5411293176893574e-6	105.53005660015435
0.0ms	-7688653.823449313	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify56.0ms (0.8%)

Memory

-29.4MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	111
1	53	111
2	65	111
3	71	111
4	75	111
5	76	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -5000000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 x #s(literal -2 binary64)))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -5000000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 x #s(literal -2 binary64)))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal -5000000 binary64)) (.f64 #s(approx (- 3 (* x 2)) (.f64 x #s(literal -2 binary64))) (.f64 x x)) (if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (.f64 x x)) (.f64 #s(approx (- 3 (* x 2)) (.f64 x #s(literal -2 binary64))) (.f64 x x))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) (*.f64 x x))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(approx (/ (* x x) (+ (* 2 x) 3)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(approx (/ ( x x) (+ (* 2 x) 3)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)))

soundness1.3s (17.4%)

Memory

-0.8MiB live, 708.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	63	220
2	165	220
3	493	220
4	1143	220
5	2033	220
6	2896	220
7	3653	220
8	5407	220
9	6071	220
10	6439	220
0	8223	202
0	201	1497
1	579	1480
2	1500	1476
3	3662	1464
0	8300	1336
0	212	1737
1	611	1716
2	1744	1686
3	4661	1666
0	8197	1578
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18
0	106	1106
1	301	1098
2	759	1098
3	2038	1090
4	4963	1082
5	7833	1082
0	8295	977

Stop Event

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

Compiler

Compiled 179 to 94 computations (47.5% saved)

preprocess87.0ms (1.2%)

Memory: 29.9MiB live, 178.1MiB allocated
Compiler: Compiled 186 to 86 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

start0.0ms (0%)

analyze0.0ms (0%)

sample871.0ms (11.9%)

explain267.0ms (3.6%)

preprocess62.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.3%)

localize27.0ms (0.4%)

series8.0ms (0.1%)

simplify213.0ms (2.9%)

rewrite207.0ms (2.8%)

eval38.0ms (0.5%)

prune15.0ms (0.2%)

simplify244.0ms (3.3%)

localize64.0ms (0.9%)

series53.0ms (0.7%)

simplify120.0ms (1.6%)

rewrite327.0ms (4.4%)

eval570.0ms (7.7%)

prune134.0ms (1.8%)

simplify295.0ms (4%)

localize228.0ms (3.1%)

series18.0ms (0.2%)

simplify169.0ms (2.3%)

rewrite275.0ms (3.7%)

eval411.0ms (5.6%)

prune117.0ms (1.6%)

simplify54.0ms (0.7%)

localize317.0ms (4.3%)

series19.0ms (0.3%)

simplify161.0ms (2.2%)

rewrite223.0ms (3%)

eval306.0ms (4.2%)

prune46.0ms (0.6%)

regimes20.0ms (0.3%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

simplify56.0ms (0.8%)

soundness1.3s (17.4%)

preprocess87.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21