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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

-38.5MiB 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)

sample776.0ms (12.5%)

Memory

-179.1MiB live, 1 154.6MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-mult: 198.0ms (75.9% of total)

ival-sub: 45.0ms (17.2% of total)

exact: 9.0ms (3.4% of total)

ival-true: 7.0ms (2.7% of total)

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

Bogosity

explain78.0ms (1.3%)

Memory

-15.8MiB live, 150.6MiB 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

27.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (72.8% of total)

ival-sub: 3.0ms (21.9% of total)

exact: 1.0ms (7.3% of total)

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

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

preprocess50.0ms (0.8%)

Memory

-14.7MiB live, 62.6MiB 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
▶	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (0.4%)

Memory

-7.5MiB live, 33.4MiB 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)

localize24.0ms (0.4%)

Memory

2.2MiB 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	0.12109375	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

13.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (75.1% of total)

ival-sub: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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
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))
1.0ms	x	@	0	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))

simplify185.0ms (3%)

Memory

23.7MiB live, 171.7MiB 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)

rewrite173.0ms (2.8%)

Memory

-0.3MiB live, 195.0MiB 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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eval79.0ms (1.3%)

Memory: -17.5MiB live, 110.9MiB allocated
Compiler: Compiled 8 146 to 963 computations (88.2% saved)

prune13.0ms (0.2%)

Memory

1.1MiB live, 40.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	324	11	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	11	336

Accuracy

100.0%

Counts

336 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
	93.0%	(/.f64 (.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
▶	93.0%	(/.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)))
▶	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	99.4%	(/.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)))
▶	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
▶	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	99.7%	(.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
	76.4%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
▶	60.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	76.5%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 234 to 172 computations (26.5% saved)

simplify193.0ms (3.1%)

Memory

19.9MiB live, 102.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) 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)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) 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)) 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: 8 (0.0ms)

Iter	Nodes	Cost
0	23	145
0	39	143
1	70	141
2	126	141
3	287	141
4	494	141
5	706	141
6	984	141
7	1771	141
8	2754	140
9	3237	140
10	4571	140
0	8092	140

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

localize155.0ms (2.5%)

Memory

-24.5MiB live, 90.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.078125	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	0.08203125	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	4.443771695164744	(/.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 -2 binary64) x #s(literal 3 binary64))
accuracy	0.08984375	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.125	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
accuracy	0.7351006248056392	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.08984375	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.1484375	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0	(*.f64 x x)
accuracy	0.12109375	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	35.30290734067142	#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	0.12109375	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Samples

130.0ms	236×	0	valid
3.0ms	11×	1	valid
2.0ms	6×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 293 to 48 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 108.0ms (89.5% of total)

ival-div: 5.0ms (4.1% of total)

ival-add: 4.0ms (3.3% of total)

adjust: 1.0ms (0.8% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series10.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB 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 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<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 (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 (.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>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
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) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))
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) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))
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) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))

Time

Variable

Point

Expression

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

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

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

simplify131.0ms (2.1%)

Memory

-6.7MiB live, 110.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1112
1	252	1112
2	627	1106
3	1614	1106
4	3896	1102
5	6493	1102
0	8079	997

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

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)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.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)
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(* 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)
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))
(* 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)
(* -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)
(* (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))
(* -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 #s(literal -2 binary64) x) 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)
(* (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 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
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(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
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(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(* -2 (pow x 3))
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(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
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(.f64 #s(literal -4 binary64) (.f64 x x))
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rewrite200.0ms (3.2%)

Memory

8.3MiB live, 253.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	39	95
1	144	93
2	883	93
0	9060	93

Stop Event

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

Counts

13 → 1 867

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

Outputs
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eval674.0ms (10.9%)

Memory: 53.3MiB live, 540.4MiB allocated
Compiler: Compiled 56 781 to 4 045 computations (92.9% saved)

prune119.0ms (1.9%)

Memory

-43.2MiB live, 149.9MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	2 572	12	2 584
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	2 578	17	2 595

Accuracy

100.0%

Counts

2 595 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	93.0%	(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
	69.8%	(/.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)))
▶	43.0%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
▶	60.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
	76.4%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
	99.4%	(/.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)))
	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)) x))
	99.8%	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	60.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	76.4%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
	99.7%	(.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
✓	60.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	76.5%	#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 316 to 237 computations (25% saved)

simplify243.0ms (3.9%)

Memory

0.3MiB live, 118.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -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 x x))
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
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)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 2 binary64) x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
cost-diff	1472	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	189
0	56	189
1	93	189
2	157	189
3	273	189
4	488	188
5	626	186
6	760	186
7	1120	186
8	1717	186
9	3070	186
10	5209	186
11	6660	186
12	6895	186
13	6946	186
14	6987	186
15	7036	186
16	7322	186
17	7558	186
18	7755	186
19	7771	186
20	7775	186
21	7775	186
0	8047	182

Stop Event

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

Calls

Call 1

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

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

localize368.0ms (5.9%)

Memory

8.0MiB live, 165.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.12728500976844204	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x x))
accuracy	4.443771695164744	(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0.078125	(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
accuracy	0.08203125	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
accuracy	4.443771695164744	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	36.22499422358094	#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
accuracy	0.125	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.39453125	(/.f64 #s(literal 1/3 binary64) x)
accuracy	34.34705564533169	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.08984375	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
accuracy	0.1484375	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy	35.30290734067142	#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 #s(literal -1 binary64) x)
accuracy	0.125	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
accuracy	0.23046875	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))

Samples

340.0ms	236×	0	valid
4.0ms	11×	1	valid
3.0ms	6×	2	valid
2.0ms	3×	3	valid

Compiler

Compiled 315 to 63 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-div: 294.0ms (89.7% of total)

ival-mult: 20.0ms (6.1% of total)

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

const: 4.0ms (1.2% of total)

ival-sub: 1.0ms (0.3% of total)

adjust: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series31.0ms (0.5%)

Memory

-23.2MiB live, 14.6MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify125.0ms (2%)

Memory

32.4MiB live, 147.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1506
1	261	1506
2	650	1494
3	1657	1494
4	4099	1486
5	6749	1486
0	8294	1357

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

rewrite194.0ms (3.1%)

Memory

-13.8MiB live, 193.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	164
0	56	159
1	206	155
2	1261	155
0	8857	150

Stop Event

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

Counts

18 → 1 055

Calls

Call 1

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

Outputs
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eval273.0ms (4.4%)

Memory: 12.0MiB live, 283.8MiB allocated
Compiler: Compiled 26 788 to 2 266 computations (91.5% saved)

prune99.0ms (1.6%)

Memory

-16.7MiB live, 95.7MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 287	6	1 293
Fresh	4	5	9
Picked	2	3	5
Done	0	3	3
Total	1 293	17	1 310

Accuracy

100.0%

Counts

1 310 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
	99.7%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	69.8%	(/.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)))
✓	43.0%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	69.8%	(/.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
	76.4%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* 2 x) -3) (*.f64 #s(literal 2 binary64) x))))
▶	76.4%	(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	60.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
▶	99.4%	(/.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)))
▶	99.8%	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	76.4%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	60.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	99.7%	(.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
✓	60.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	76.5%	#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 289 to 216 computations (25.3% saved)

simplify179.0ms (2.9%)

Memory

26.2MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
cost-diff	1408	(/.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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (* -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x)))
cost-diff	0	(.f64 #s(approx (+ ( -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
cost-diff	0	(*.f64 x #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal -2 binary64)) x)
cost-diff	0	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
cost-diff	320	(fma.f64 x #s(literal 3 binary64) (.f64 (.f64 x #s(literal -2 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	221
0	61	223
1	102	210
2	153	210
3	268	210
4	490	210
5	706	208
6	1113	208
7	1649	208
8	2007	208
9	2293	207
10	3262	207
11	4959	207
12	6357	207
13	6700	207
14	7008	207
15	7229	207
16	7450	207
0	8186	204

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.7%)

Memory

-10.9MiB live, 225.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.10775375976844201	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
accuracy	0.1484375	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0.31574858823866664	(/.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)))
accuracy	0.00390625	(.f64 #s(literal -4 binary64) (.f64 x x))
accuracy	0.12728500976844204	(.f64 #s(approx (+ ( -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 x x))
accuracy	4.443771695164744	(/.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	27.218226257553734	#s(approx (+ (* -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.125	(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy	0.6413506248056392	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy	27.102558323170296	#s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.08984375	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
accuracy	0.1484375	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy	27.16528660176131	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(.f64 (.f64 x #s(literal -2 binary64)) x)
accuracy	0	(*.f64 x #s(literal -2 binary64))
accuracy	0.0390625	(fma.f64 x #s(literal 3 binary64) (.f64 (.f64 x #s(literal -2 binary64)) x))
accuracy	0.1484375	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)

Samples

134.0ms	242×	0	valid
4.0ms	10×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 357 to 68 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 70.0ms (63.2% of total)

ival-sub: 16.0ms (14.5% of total)

ival-div: 12.0ms (10.8% of total)

ival-add: 10.0ms (9% of total)

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series16.0ms (0.3%)

Memory

7.7MiB live, 45.5MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify199.0ms (3.2%)

Memory

5.5MiB live, 277.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1608
1	281	1600
2	731	1588
3	1771	1588
4	4008	1588
5	7981	1588
0	8003	1468

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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

rewrite268.0ms (4.3%)

Memory

4.6MiB live, 268.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	195
0	61	197
1	224	182
2	1333	182
0	8791	179

Stop Event

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

Counts

20 → 1 003

Calls

Call 1

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

Outputs
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eval202.0ms (3.3%)

Memory: -9.3MiB live, 258.8MiB allocated
Compiler: Compiled 23 899 to 2 472 computations (89.7% saved)

prune65.0ms (1%)

Memory

18.5MiB live, 105.5MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1 294	3	1 297
Fresh	2	4	6
Picked	1	4	5
Done	0	6	6
Total	1 297	17	1 314

Accuracy

100.0%

Counts

1 314 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) x))
	99.7%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	69.8%	(/.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)))
✓	43.0%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	69.8%	(/.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) (.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
	76.4%	(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	76.4%	(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	60.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
	76.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* -2 x) 3) x) (.f64 (.f64 x x) #s(literal -2 binary64))) x)))
✓	99.8%	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
✓	76.4%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	60.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	99.7%	(.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
✓	60.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	76.5%	#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 499 to 235 computations (52.9% saved)

regimes23.0ms (0.4%)

Memory

-29.9MiB live, 44.9MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
9.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.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

13.4MiB live, 13.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.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 (.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:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.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

9.5MiB live, 9.5MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(.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 (.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:

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

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	3	`(.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 (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(.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)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.5%	1	`x`
60.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00249048866773573	1024288598860.1345
0.0ms	-248815110224368500.0	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify54.0ms (0.9%)

Memory

1.3MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	38	88
2	50	88
3	56	88
4	60	88
5	61	88

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 -200000000000000000 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 1152921504606847/288230376151711744 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)))

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 -200000000000000000 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 1152921504606847/288230376151711744 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 -200000000000000000 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 1152921504606847/288230376151711744 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))

soundness730.0ms (11.8%)

Memory

-23.3MiB live, 349.5MiB 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	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18

Stop Event

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

Compiler

Compiled 137 to 60 computations (56.2% saved)

preprocess48.0ms (0.8%)

Memory: -3.6MiB live, 152.0MiB allocated
Compiler: Compiled 172 to 74 computations (57% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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%)

analyze13.0ms (0.2%)

sample776.0ms (12.5%)

explain78.0ms (1.3%)

preprocess50.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.4%)

localize24.0ms (0.4%)

series4.0ms (0.1%)

simplify185.0ms (3%)

rewrite173.0ms (2.8%)

eval79.0ms (1.3%)

prune13.0ms (0.2%)

simplify193.0ms (3.1%)

localize155.0ms (2.5%)

series10.0ms (0.2%)

simplify131.0ms (2.1%)

rewrite200.0ms (3.2%)

eval674.0ms (10.9%)

prune119.0ms (1.9%)

simplify243.0ms (3.9%)

localize368.0ms (5.9%)

series31.0ms (0.5%)

simplify125.0ms (2%)

rewrite194.0ms (3.1%)

eval273.0ms (4.4%)

prune99.0ms (1.6%)

simplify179.0ms (2.9%)

localize164.0ms (2.7%)

series16.0ms (0.3%)

simplify199.0ms (3.2%)

rewrite268.0ms (4.3%)

eval202.0ms (3.3%)

prune65.0ms (1%)

regimes23.0ms (0.4%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

simplify54.0ms (0.9%)

soundness730.0ms (11.8%)

preprocess48.0ms (0.8%)

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