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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.3s (16.7%)

Memory

32.5MiB live, 1 051.6MiB allocated

Samples

604.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

ival-mult: 322.0ms (83.6% of total)

ival-sub: 44.0ms (11.4% of total)

exact: 8.0ms (2.1% of total)

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

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

Bogosity

explain81.0ms (1%)

Memory

4.4MiB live, 202.8MiB 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

31.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 9.0ms (69.1% of total)

ival-sub: 2.0ms (15.4% of total)

exact: 1.0ms (7.7% of total)

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

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

preprocess92.0ms (1.2%)

Memory

-49.9MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Rules

616×	`lower-fma.f64`
616×	`lower-fma.f32`
392×	`lower-*.f32`
386×	`lower-*.f64`
204×	`associate-r`

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify31.0ms (0.4%)

Memory

-1.3MiB live, 37.4MiB 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)))

Rules

616×	`lower-fma.f64`
616×	`lower-fma.f32`
392×	`lower-*.f32`
386×	`lower-*.f64`
166×	`associate-r`

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)

localize17.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB 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	0.1171875	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

12.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (64.2% of total)

ival-sub: 1.0ms (16.1% 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

3.5MiB live, 3.5MiB 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))

simplify551.0ms (7%)

Memory

3.1MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20 650×	`lower-fma.f64`
20 650×	`lower-fma.f32`
3 112×	`lower-*.f64`
3 112×	`lower-*.f32`
2 720×	`lower-+.f64`

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)

rewrite726.0ms (9.2%)

Memory

1.0MiB live, 191.6MiB allocated

Rules

9 334×	`lower-fma.f64`
9 334×	`lower-fma.f32`
4 144×	`lower-*.f32`
4 138×	`lower-*.f64`
3 844×	`lower-/.f64`

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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eval82.0ms (1%)

Memory: -1.8MiB live, 82.7MiB allocated
Compiler: Compiled 8 146 to 963 computations (88.2% saved)

prune17.0ms (0.2%)

Memory

-1.4MiB live, 37.2MiB 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
	86.9%	(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	95.8%	(/.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)))
	95.9%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
▶	99.8%	(.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)
	95.8%	(.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
	64.6%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
	74.6%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
▶	64.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	74.7%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 258 to 190 computations (26.4% saved)

simplify318.0ms (4%)

Memory

-2.1MiB live, 159.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 x x))
cost-diff	0	(.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
cost-diff	128	(+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.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)) 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	(*.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))
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	(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)

Rules

4 036×	`lower-fma.f32`
4 032×	`lower-fma.f64`
2 612×	`lower-*.f32`
2 598×	`lower-*.f64`
1 596×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	145
0	38	143
1	68	141
2	120	141
3	261	141
4	503	141
5	720	141
6	1270	141
7	2863	141
8	4411	141
9	5411	141
10	5880	141
11	6207	141
12	6331	141
13	6362	141
14	6724	141
15	7026	141
16	7164	141
17	7196	141
18	7204	141
19	7204	141
20	7588	140
0	8173	137

Stop Event

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

Calls

Call 1

Inputs
(.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 (.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 (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 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 #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 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
#s(literal -9 binary64)
(.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)

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

localize102.0ms (1.3%)

Memory

14.4MiB live, 129.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.13671875	(.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
accuracy	2.6171561728372104	(/.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)))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.09765625	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.10546875	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
accuracy	0.5384328282501332	(/.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	(*.f64 x x)
accuracy	0.1171875	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.1171875	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	29.3340506908043	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.09765625	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.11328125	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

Samples

35.0ms	235×	0	valid
24.0ms	12×	2	valid
2.0ms	9×	1	valid

Compiler

Compiled 154 to 26 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 33.0ms (72.9% of total)

ival-div: 5.0ms (11.1% of total)

ival-add: 4.0ms (8.8% of total)

adjust: 1.0ms (2.2% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series33.0ms (0.4%)

Memory

-12.0MiB live, 25.4MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

24.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify222.0ms (2.8%)

Memory

17.1MiB live, 162.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 896×	`lower-fma.f64`
6 896×	`lower-fma.f32`
3 170×	`lower-*.f64`
3 170×	`lower-*.f32`
1 468×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1078
1	224	1078
2	554	1072
3	1358	1072
4	3178	1068
5	5928	1068
0	8146	972

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 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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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 (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
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* 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)))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow 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 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 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 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))
(* -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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow 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)))))
(* -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 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 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)))))

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

rewrite515.0ms (6.6%)

Memory

-19.4MiB live, 365.5MiB allocated

Rules

8 922×	`lower-fma.f32`
8 918×	`lower-fma.f64`
5 108×	`lower-*.f32`
5 094×	`lower-*.f64`
3 562×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
0	38	94
1	138	92
2	915	92
0	9026	90

Stop Event

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

Counts

13 → 1 827

Calls

Call 1

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

Outputs
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eval311.0ms (4%)

Memory: 4.5MiB live, 665.7MiB allocated
Compiler: Compiled 52 373 to 3 159 computations (94% saved)

prune89.0ms (1.1%)

Memory

29.8MiB live, 188.5MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	2 424	10	2 434
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	2 431	14	2 445

Accuracy

100.0%

Counts

2 445 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
▶	64.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
	74.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 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 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
▶	99.8%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	64.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	74.6%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
	64.6%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
✓	64.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	74.7%	#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 252 to 195 computations (22.6% saved)

simplify254.0ms (3.2%)

Memory

5.2MiB live, 158.5MiB 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)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
cost-diff	0	(.f64 #s(approx (+ -9 ( 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) #s(literal -9 binary64)) (*.f64 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	(*.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))

Rules

7 320×	`lower-fma.f32`
7 312×	`lower-fma.f64`
2 568×	`lower-*.f32`
2 550×	`lower-*.f64`
1 286×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	189
0	57	186
1	98	184
2	148	184
3	260	184
4	422	184
5	580	184
6	976	184
7	2440	184
8	3921	184
9	4768	184
10	5539	184
11	6094	184
12	6282	184
13	6496	184
14	7160	184
15	7769	184
16	7791	184
17	7800	184
18	7802	184
19	7802	184
20	7802	184
21	7802	184
22	7900	184
0	8116	177

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

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

localize133.0ms (1.7%)

Memory

-31.8MiB live, 183.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.015625	(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x)
accuracy	0.1171875	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.13671875	(.f64 #s(approx (+ -9 ( 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
accuracy	2.6171561728372104	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy	29.5691426026839	#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
accuracy	0.10546875	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.296875	(/.f64 #s(literal 1/3 binary64) x)
accuracy	28.577862497631187	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.09765625	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
accuracy	0.11328125	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy	29.3340506908043	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(.f64 (.f64 x #s(literal -2 binary64)) x)
accuracy	0	(*.f64 x #s(literal -2 binary64))
accuracy	0.05859375	(fma.f64 x #s(literal 3 binary64) (.f64 (.f64 x #s(literal -2 binary64)) x))
accuracy	0.11328125	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)

Samples

78.0ms	229×	0	valid
17.0ms	14×	2	valid
7.0ms	11×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 181 to 37 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 29.0ms (38.7% of total)

ival-div: 27.0ms (36% of total)

ival-add: 7.0ms (9.3% of total)

adjust: 5.0ms (6.7% of total)

const: 4.0ms (5.3% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series17.0ms (0.2%)

Memory

-9.9MiB live, 27.1MiB allocated

Counts

18 → 216

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

simplify130.0ms (1.7%)

Memory

33.0MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 670×	`lower-fma.f64`
8 670×	`lower-fma.f32`
3 110×	`lower-*.f64`
3 110×	`lower-*.f32`
2 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1446
1	346	1446
2	848	1432
3	2086	1428
4	4967	1424
0	8079	1304

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

rewrite162.0ms (2.1%)

Memory

-13.3MiB live, 208.4MiB allocated

Rules

6 658×	`lower-fma.f32`
6 650×	`lower-fma.f64`
4 440×	`lower-/.f32`
4 432×	`lower-/.f64`
4 274×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	162
0	57	154
1	217	151
2	1270	151
0	8664	143

Stop Event

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

Counts

18 → 938

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

Outputs
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eval299.0ms (3.8%)

Memory: -106.5MiB live, 305.6MiB allocated
Compiler: Compiled 25 395 to 2 094 computations (91.8% saved)

prune37.0ms (0.5%)

Memory

-32.7MiB live, 132.5MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 167	5	1 172
Fresh	3	3	6
Picked	2	3	5
Done	0	3	3
Total	1 172	14	1 186

Accuracy

100.0%

Counts

1 186 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
✓	64.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
▶	74.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 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))
▶	72.0%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
▶	99.8%	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
	75.9%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) (.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
	45.9%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) #s(approx (/ x (+ ( x -2) -3)) (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64))))
	69.6%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) #s(approx (/ x (+ ( x -2) -3)) (*.f64 #s(literal -1/3 binary64) x)))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	74.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	64.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	64.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Compiler

Compiled 260 to 192 computations (26.2% saved)

simplify142.0ms (1.8%)

Memory

34.4MiB live, 189.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
cost-diff	0	(.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
cost-diff	128	(-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
cost-diff	640	(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	512	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x))
cost-diff	1088	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 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 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.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 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))

Rules

9 952×	`lower-fma.f32`
9 948×	`lower-fma.f64`
3 478×	`lower-*.f32`
3 460×	`lower-*.f64`
2 002×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	232
0	61	230
1	121	227
2	277	219
3	693	211
4	2010	211
5	5365	209
0	8421	206

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.8%)

Memory

-6.4MiB live, 191.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0.13671875	(.f64 #s(literal 9 binary64) (.f64 x x))
accuracy	15.25768658564258	(-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
accuracy	39.49645104395558	(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.10546875	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
accuracy	0.20703125	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x))
accuracy	0	(*.f64 x x)
accuracy	0.10546875	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy	0.24876403025469088	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy	34.37376020646427	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.09765625	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
accuracy	0.11328125	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy	34.44946211822352	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.11328125	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
accuracy	0.22265625	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))

Samples

73.0ms	211×	0	valid
16.0ms	22×	2	valid
10.0ms	23×	1	valid

Compiler

Compiled 222 to 39 computations (82.4% saved)

Precisions

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

ival-div: 28.0ms (42.3% of total)

ival-mult: 20.0ms (30.2% of total)

ival-add: 5.0ms (7.5% of total)

ival-pow: 4.0ms (6% of total)

adjust: 3.0ms (4.5% of total)

ival-sub: 3.0ms (4.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series78.0ms (1%)

Memory

-58.0MiB live, 23.4MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify179.0ms (2.3%)

Memory

30.6MiB live, 144.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 026×	`lower-fma.f64`
9 026×	`lower-fma.f32`
3 130×	`lower-*.f64`
3 130×	`lower-*.f32`
1 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1598
1	318	1598
2	718	1586
3	1567	1586
4	3235	1566
5	5858	1566
0	8171	1440

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

rewrite212.0ms (2.7%)

Memory

6.0MiB live, 199.7MiB allocated

Rules

4 558×	`lower-/.f32`
4 544×	`lower-/.f64`
4 478×	`lower-*.f32`
4 460×	`lower-*.f64`
2 536×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	188
0	61	186
1	239	173
2	1426	165
0	8828	164

Stop Event

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

Counts

20 → 1 036

Calls

Call 1

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

Outputs
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eval231.0ms (2.9%)

Memory: 9.3MiB live, 317.8MiB allocated
Compiler: Compiled 31 948 to 3 639 computations (88.6% saved)

prune39.0ms (0.5%)

Memory

16.2MiB live, 128.3MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 457	2	1 459
Fresh	0	3	3
Picked	2	3	5
Done	0	6	6
Total	1 459	14	1 473

Accuracy

100.0%

Counts

1 473 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	64.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
✓	74.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
	74.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))))
✓	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 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
	75.9%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) (.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
	45.9%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) #s(approx (/ x (+ ( x -2) -3)) (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64))))
	69.6%	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) #s(approx (/ x (+ ( x -2) -3)) (*.f64 #s(literal -1/3 binary64) x)))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
✓	74.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	64.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	64.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Compiler

Compiled 461 to 218 computations (52.7% saved)

regimes25.0ms (0.3%)

Memory

-17.9MiB live, 69.3MiB allocated

Counts

29 → 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)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) #s(approx (/ x (+ ( x -2) -3)) (*.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)))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.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 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) #s(approx (/ x (+ ( x -2) -3)) (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (/.f64 x (fma.f64 x #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 (+.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 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) (.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #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)

Calls

2 calls:

12.0ms	x
11.0ms	(.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)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

8 → 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))))

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

Calls

2 calls:

3.0ms	x
3.0ms	(.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)

regimes237.0ms (3%)

Memory

-29.8MiB live, 9.0MiB 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 #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))))

Calls

2 calls:

235.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
96.7%	3	`x`
96.7%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

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

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
64.5%	1	`x`
64.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
64.5%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2627240004864588	5841670633.242661
0.0ms	-11010900.044609914	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify44.0ms (0.6%)

Memory

15.7MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	101
1	45	101
2	57	101
3	63	101
4	67	101
5	68	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -10000000 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 1/2 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 (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Outputs
(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 (*.f64 #s(literal -2 binary64) x) 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 -10000000 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 1/2 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))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal -10000000 binary64)) (.f64 #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x)) (.f64 x x)) (if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x) x) (.f64 #s(approx (- 3 ( x 2)) (.f64 #s(literal -2 binary64) x)) (.f64 x x))))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) 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))

soundness907.0ms (11.5%)

Memory

-14.5MiB live, 463.0MiB allocated

Rules

20 650×	`lower-fma.f64`
20 650×	`lower-fma.f32`
9 334×	`lower-fma.f64`
9 334×	`lower-fma.f32`
8 922×	`lower-fma.f32`

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
0	24	104
0	38	94
1	138	92
2	915	92
0	9026	90

Stop Event

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

Compiler

Compiled 192 to 94 computations (51% saved)

preprocess76.0ms (1%)

Memory: 7.3MiB live, 93.6MiB allocated
Compiler: Compiled 188 to 82 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.3s (16.7%)

explain81.0ms (1%)

preprocess92.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.4%)

localize17.0ms (0.2%)

series4.0ms (0.1%)

simplify551.0ms (7%)

rewrite726.0ms (9.2%)

eval82.0ms (1%)

prune17.0ms (0.2%)

simplify318.0ms (4%)

localize102.0ms (1.3%)

series33.0ms (0.4%)

simplify222.0ms (2.8%)

rewrite515.0ms (6.6%)

eval311.0ms (4%)

prune89.0ms (1.1%)

simplify254.0ms (3.2%)

localize133.0ms (1.7%)

series17.0ms (0.2%)

simplify130.0ms (1.7%)

rewrite162.0ms (2.1%)

eval299.0ms (3.8%)

prune37.0ms (0.5%)

simplify142.0ms (1.8%)

localize140.0ms (1.8%)

series78.0ms (1%)

simplify179.0ms (2.3%)

rewrite212.0ms (2.7%)

eval231.0ms (2.9%)

prune39.0ms (0.5%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

regimes237.0ms (3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

simplify44.0ms (0.6%)

soundness907.0ms (11.5%)

preprocess76.0ms (1%)

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