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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.3s (27.3%)

Memory

29.2MiB live, 731.5MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 525.0ms

ival-mult: 427.0ms (81.3% of total)

ival-sub: 81.0ms (15.4% of total)

exact: 8.0ms (1.5% of total)

ival-true: 6.0ms (1.1% of total)

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

Bogosity

explain113.0ms (1.3%)

Memory

22.7MiB live, 215.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 15.0ms (78.3% of total)

ival-sub: 3.0ms (15.7% of total)

exact: 1.0ms (5.2% of total)

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

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

preprocess103.0ms (1.2%)

Memory

-26.9MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify34.0ms (0.4%)

Memory

8.6MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.3%)

Memory

-1.9MiB live, 47.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

23.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 11.0ms (88% of total)

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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))

simplify186.0ms (2.2%)

Memory

4.5MiB live, 199.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite228.0ms (2.7%)

Memory

-10.7MiB live, 176.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 287

Calls

Call 1

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

Outputs
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eval43.0ms (0.5%)

Memory: 29.0MiB live, 63.9MiB allocated
Compiler: Compiled 8 146 to 963 computations (88.2% saved)

prune56.0ms (0.7%)

Memory

-20.8MiB live, 33.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	326	9	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	9	336

Accuracy

100.0%

Counts

336 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(/.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)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
▶	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
▶	71.2%	(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	75.8%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
▶	60.8%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	75.8%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 190 to 138 computations (27.4% saved)

simplify329.0ms (3.8%)

Memory

-9.4MiB live, 191.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
cost-diff	2432	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	181
0	38	149
1	76	147
2	187	147
3	726	147
4	2898	147
5	6712	147
0	8345	147

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (0.8%)

Memory

0.7MiB live, 159.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.12109375	(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	20.752787168508622	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.12890625	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0.2638429080310096	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
accuracy	0.509687901692766	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.12890625	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0	(*.f64 x x)
accuracy	0.12109375	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	33.41104703089681	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.12109375	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Samples

39.0ms	233×	0	valid
4.0ms	3×	3	valid
4.0ms	10×	2	valid
3.0ms	10×	1	valid

Compiler

Compiled 198 to 26 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 20.0ms (58.5% of total)

ival-div: 7.0ms (20.5% of total)

ival-add: 4.0ms (11.7% of total)

adjust: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series12.0ms (0.1%)

Memory

-5.8MiB live, 32.1MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (/ 1 (* (* (+ (* -2 x) 3) x) x)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* -4 (* x x)) 9)) (* (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* -4 (* x x)) 9)) (+ (* -2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))
2.0ms	x	@	-inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (/ 1 (* (* (+ (* -2 x) 3) x) x)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* -4 (* x x)) 9)) (* (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* -4 (* x x)) 9)) (+ (* -2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))
1.0ms	x	@	0	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (/ 1 (* (* (+ (* -2 x) 3) x) x)) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* -4 (* x x)) 9)) (* (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* -4 (* x x)) 9)) (+ (* -2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify111.0ms (1.3%)

Memory

31.8MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1082
1	271	1078
2	713	1072
3	1875	1072
4	4864	1072
0	8223	976

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
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(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x)
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rewrite626.0ms (7.3%)

Memory

-24.5MiB live, 424.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	126
0	38	94
1	135	92
2	952	90
0	9271	90

Stop Event

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

Counts

13 → 2 536

Calls

Call 1

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

Outputs
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eval600.0ms (7%)

Memory: 67.3MiB live, 860.7MiB allocated
Compiler: Compiled 109 087 to 5 543 computations (94.9% saved)

prune96.0ms (1.1%)

Memory

-39.9MiB live, 270.6MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	3 985	9	3 994
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	3 990	13	4 003

Accuracy

100.0%

Counts

4 003 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 x #s(literal -2 binary64) #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)))
▶	95.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)))
▶	75.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)))
	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
	74.3%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x (/.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))))))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
▶	47.2%	(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))) #s(approx (+ ( -2 x) 3) (*.f64 #s(literal -2 binary64) x)))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	60.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	75.8%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	60.8%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	75.8%	#s(approx (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 288 to 205 computations (28.8% saved)

simplify186.0ms (2.2%)

Memory

-12.2MiB live, 137.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))) #s(approx (+ ( -2 x) 3) (*.f64 #s(literal -2 binary64) x)))
cost-diff	2432	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
cost-diff	0	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)))
cost-diff	0	#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(.f64 #s(approx (+ ( -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
cost-diff	2176	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
cost-diff	0	(fma.f64 #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)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	281
0	65	249
1	115	244
2	219	242
3	617	242
4	1742	242
5	5777	240
0	8328	240

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (1.8%)

Memory

16.3MiB live, 163.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))) #s(approx (+ ( -2 x) 3) (*.f64 #s(literal -2 binary64) x)))
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	20.752787168508622	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
accuracy	29.902962982670132	#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))
accuracy	0.08203125	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x)
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
accuracy	0.509687901692766	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)))
accuracy	2.2773366391453527	(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x))
accuracy	0.12890625	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy	0.2638429080310096	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x))
accuracy	0.509687901692766	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)))
accuracy	29.902962982670132	#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))
accuracy	0.08203125	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
accuracy	0.12890625	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy	33.41104703089681	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.10546875	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
accuracy	0.25341789588927255	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))

Samples

117.0ms	233×	0	valid
5.0ms	10×	2	valid
4.0ms	10×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 275 to 39 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 77.0ms (78.4% of total)

ival-div: 12.0ms (12.2% of total)

ival-add: 5.0ms (5.1% of total)

adjust: 2.0ms (2% of total)

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

exact: 1.0ms (1% of total)

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

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

series16.0ms (0.2%)

Memory

35.5MiB live, 35.5MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify135.0ms (1.6%)

Memory

-40.6MiB live, 161.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1882
1	343	1870
2	922	1852
3	2425	1852
4	5714	1852
0	8171	1681

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite360.0ms (4.2%)

Memory

12.3MiB live, 213.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	230
0	65	205
1	230	193
2	1418	177
0	9060	177

Stop Event

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

Counts

21 → 1 463

Calls

Call 1

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

Outputs
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eval280.0ms (3.3%)

Memory: 35.0MiB live, 416.8MiB allocated
Compiler: Compiled 38 104 to 4 186 computations (89% saved)

prune122.0ms (1.4%)

Memory

-66.5MiB live, 131.5MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 723	7	1 730
Fresh	4	1	5
Picked	2	3	5
Done	0	3	3
Total	1 729	14	1 743

Accuracy

100.0%

Counts

1 743 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
▶	96.6%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
▶	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x)))
✓	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	60.8%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
	75.7%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	75.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	50.3%	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))))) #s(approx (+ ( -2 x) 3) (*.f64 #s(literal -2 binary64) x)))
▶	75.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	60.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	60.8%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	75.8%	#s(approx (/ x (/ 1 (* (+ (* -2 x) 3) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 226 to 163 computations (27.9% saved)

simplify242.0ms (2.8%)

Memory

19.6MiB live, 140.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ x (/ 1 (* (+ (* -2 x) 3) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
cost-diff	-5824	(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	6464	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) 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	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x))
cost-diff	1472	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	180
0	57	181
1	107	172
2	191	165
3	461	165
4	973	165
5	1942	165
6	3745	165
7	5258	165
8	6071	165
9	6223	165
10	6265	165
11	6281	165
12	6683	165
13	7056	165
14	7156	165
15	7246	165
16	7264	165
17	7298	165
18	7534	165
0	8058	165

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (2%)

Memory

10.1MiB live, 118.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0078125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
accuracy	15.463255640140238	#s(approx (/ x (/ 1 (* (+ (* -2 x) 3) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
accuracy	0.00390625	(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
accuracy	0.08203125	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x)
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
accuracy	2.162833031268659	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.09375	(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
accuracy	7.574156824906175	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.08203125	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
accuracy	0.12890625	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy	29.902962982670132	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
accuracy	0.10546875	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x)))
accuracy	0.234375	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x))

Samples

90.0ms	233×	0	valid
4.0ms	10×	2	valid
3.0ms	10×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 176 to 37 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 35.0ms (57.7% of total)

ival-div: 10.0ms (16.5% of total)

ival-add: 5.0ms (8.2% of total)

ival-pow: 4.0ms (6.6% of total)

adjust: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series20.0ms (0.2%)

Memory

-23.8MiB live, 24.1MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify156.0ms (1.8%)

Memory

38.5MiB live, 150.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1440
1	314	1440
2	756	1434
3	1862	1434
4	4442	1418
5	7231	1418
0	8140	1307

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

rewrite234.0ms (2.7%)

Memory

20.0MiB live, 284.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	153
0	57	150
1	222	131
2	1342	131
0	8746	131

Stop Event

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

Counts

19 → 1 135

Calls

Call 1

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

Outputs
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eval363.0ms (4.2%)

Memory: -186.5MiB live, 564.8MiB allocated
Compiler: Compiled 29 117 to 2 565 computations (91.2% saved)

prune279.0ms (3.3%)

Memory

35.1MiB live, 112.8MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 434	4	1 438
Fresh	1	2	3
Picked	2	3	5
Done	1	5	6
Total	1 438	14	1 452

Accuracy

100.0%

Counts

1 452 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.1%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
	99.7%	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	46.6%	(/.f64 (.f64 (.f64 #s(approx (+ (* 4 (* x x)) -9) #s(literal -9 binary64)) x) x) (fma.f64 x #s(literal -2 binary64) #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)))
	75.7%	(/.f64 x #s(approx (/ (/ -1 (+ (* -2 x) 3)) (neg x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
	60.8%	(/.f64 x #s(approx (/ (/ -1 (+ (* -2 x) 3)) (neg x)) (/.f64 #s(literal 1/3 binary64) x)))
	75.7%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	50.3%	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x (/.f64 x (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))))) #s(approx (+ ( -2 x) 3) (*.f64 #s(literal -2 binary64) x)))
✓	75.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	60.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	60.8%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓	75.8%	#s(approx (/ x (/ 1 (* (+ (* -2 x) 3) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 464 to 193 computations (58.4% saved)

regimes20.0ms (0.2%)

Memory

-20.2MiB live, 27.3MiB allocated

Counts

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

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

Calls

2 calls:

10.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
8.0ms	x

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	3	`x`
97.4%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory

-29.0MiB live, 9.9MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.8%	1	`x`
60.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.302004588408895	27672801780225.26
0.0ms	-7.386009102277342e+23	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify24.0ms (0.3%)

Memory

5.2MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -499999999999999991611392 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 5 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -499999999999999991611392 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 5 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal -499999999999999991611392 binary64)) (.f64 #s(approx (- 3 (* x 2)) (.f64 x #s(literal -2 binary64))) (.f64 x x)) (if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal 5 binary64)) (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (.f64 x x)) (.f64 #s(approx (- 3 (* x 2)) (.f64 x #s(literal -2 binary64))) (.f64 x x))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) (*.f64 x x))

soundness707.0ms (8.3%)

Memory

2.0MiB live, 311.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	63	220
2	165	220
3	493	220
4	1143	220
5	2033	220
6	2896	220
7	3653	220
8	5407	220
9	6071	220
10	6439	220
0	8223	202
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18

Stop Event

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

Compiler

Compiled 137 to 60 computations (56.2% saved)

preprocess91.0ms (1.1%)

Memory: -6.0MiB live, 119.4MiB allocated
Compiler: Compiled 172 to 74 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.3s (27.3%)

explain113.0ms (1.3%)

preprocess103.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify34.0ms (0.4%)

localize29.0ms (0.3%)

series5.0ms (0.1%)

simplify186.0ms (2.2%)

rewrite228.0ms (2.7%)

eval43.0ms (0.5%)

prune56.0ms (0.7%)

simplify329.0ms (3.8%)

localize69.0ms (0.8%)

series12.0ms (0.1%)

simplify111.0ms (1.3%)

rewrite626.0ms (7.3%)

eval600.0ms (7%)

prune96.0ms (1.1%)

simplify186.0ms (2.2%)

localize157.0ms (1.8%)

series16.0ms (0.2%)

simplify135.0ms (1.6%)

rewrite360.0ms (4.2%)

eval280.0ms (3.3%)

prune122.0ms (1.4%)

simplify242.0ms (2.8%)

localize168.0ms (2%)

series20.0ms (0.2%)

simplify156.0ms (1.8%)

rewrite234.0ms (2.7%)

eval363.0ms (4.2%)

prune279.0ms (3.3%)

regimes20.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

simplify24.0ms (0.3%)

soundness707.0ms (8.3%)

preprocess91.0ms (1.1%)

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