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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample495.0ms (13.1%)

Memory

222.0MiB live, 222.0MiB allocated

Samples

306.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 133.0ms (72.3% of total)

ival-sub: 36.0ms (19.6% of total)

exact: 7.0ms (3.8% of total)

ival-true: 6.0ms (3.3% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain89.0ms (2.4%)

Memory

47.4MiB live, 47.4MiB 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

24.0ms

512×

valid

Compiler

Compiled 128 to 62 computations (51.6% saved)

Precisions

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

ival-mult: 9.0ms (74.2% of total)

ival-sub: 2.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess42.0ms (1.1%)

Memory

7.0MiB live, 7.0MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.6%)

Memory

2.2MiB live, 2.2MiB 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)

localize16.0ms (0.4%)

Memory

7.8MiB live, 7.8MiB 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	0.0859375	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

11.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (68.4% of total)

ival-sub: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB 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))

simplify155.0ms (4.1%)

Memory

36.1MiB live, 36.1MiB 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)

rewrite128.0ms (3.4%)

Memory

51.0MiB live, 51.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 287

Calls

Call 1

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

Outputs
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eval32.0ms (0.8%)

Memory: 28.4MiB live, 28.4MiB allocated
Compiler: Compiled 8 146 to 963 computations (88.2% saved)

prune10.0ms (0.3%)

Memory

19.0MiB live, 19.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	325	10	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	326	10	336

Accuracy

100.0%

Counts

336 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(/.f64 (.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
	96.3%	(/.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 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	88.5%	(-.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (.f64 x x) (*.f64 #s(literal 2 binary64) x)))
▶	99.9%	(.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)
	72.0%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
▶	66.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	72.0%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 200 to 150 computations (25% saved)

simplify212.0ms (5.6%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 x x))
cost-diff	0	(.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
cost-diff	128	(+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
cost-diff	0	(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: 0 (0.0ms)

Iter	Nodes	Cost
0	24	145
0	38	143
1	68	141
2	120	141
3	260	141
4	502	141
5	724	141
6	1268	141
7	2862	141
8	4406	141
9	5409	141
10	5881	141
11	6197	141
12	6321	141
13	6352	141
14	6714	141
15	7010	141
16	7148	141
17	7180	141
18	7188	141
19	7188	141
20	7572	140
0	8157	137

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (1.3%)

Memory

24.9MiB live, 24.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.125	(.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
accuracy	2.3555113999325448	(/.f64 (.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.0546875	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.08984375	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.0546875	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.08984375	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	29.539341437882694	#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	0.0859375	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Samples

32.0ms	244×	0	valid
2.0ms	8×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 289 to 47 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (53.8% of total)

ival-div: 4.0ms (17.9% of total)

ival-add: 3.0ms (13.4% of total)

ival-sub: 1.0ms (4.5% of total)

exact: 1.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify88.0ms (2.3%)

Memory

23.8MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1078
1	224	1078
2	554	1072
3	1361	1072
4	3168	1068
5	5919	1068
0	8133	972

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x)
-9
#s(literal -9 binary64)
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(.f64 (.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
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(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
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rewrite157.0ms (4.2%)

Memory

67.7MiB live, 67.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
0	38	94
1	138	92
2	915	92
0	9021	90

Stop Event

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

Counts

13 → 1 827

Calls

Call 1

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

Outputs
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eval269.0ms (7.1%)

Memory: 184.0MiB live, 184.0MiB allocated
Compiler: Compiled 52 373 to 3 159 computations (94% saved)

prune73.0ms (1.9%)

Memory

95.6MiB live, 95.6MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	2 425	9	2 434
Fresh	5	0	5
Picked	2	3	5
Done	0	0	0
Total	2 432	12	2 444

Accuracy

100.0%

Counts

2 444 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	68.2%	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
▶	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
✓	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
▶	66.8%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
	72.0%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	99.8%	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
▶	66.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	72.0%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	66.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	72.0%	#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 192 to 147 computations (23.4% saved)

simplify111.0ms (2.9%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ -9 (* 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(.f64 #s(approx (+ -9 ( 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x))
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 x x)
cost-diff	6592	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x))
cost-diff	1472	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	198
0	58	194
1	105	191
2	198	186
3	443	182
4	1006	182
5	2028	182
6	4079	182
7	5670	182
8	6248	182
9	6609	182
10	6795	182
11	6926	182
12	7064	181
13	7521	181
0	8017	178

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

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

localize91.0ms (2.4%)

Memory

33.6MiB live, 33.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.125	(.f64 #s(approx (+ -9 ( 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x))
accuracy	2.3555113999325448	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy	33.642155825886825	#s(approx (+ -9 (* 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x)))
accuracy	0	(neg.f64 x)
accuracy	0.06640625	(.f64 (.f64 x x) (neg.f64 x))
accuracy	0.12109375	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	7.257752639075969	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0.08984375	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.38671875	(/.f64 #s(literal 1/3 binary64) x)
accuracy	28.645802435897775	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.0546875	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
accuracy	0.08984375	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy	29.539341437882694	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.08984375	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
accuracy	0.27734375	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x))

Samples

59.0ms	244×	0	valid
3.0ms	8×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 319 to 66 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 19.0ms (41.4% of total)

ival-div: 12.0ms (26.1% of total)

ival-add: 6.0ms (13.1% of total)

const: 4.0ms (8.7% of total)

adjust: 1.0ms (2.2% of total)

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

exact: 1.0ms (2.2% of total)

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

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

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

series17.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify118.0ms (3.1%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1492
1	298	1492
2	701	1480
3	1656	1480
4	3922	1460
5	6847	1460
0	8092	1352

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

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

rewrite125.0ms (3.3%)

Memory

46.3MiB live, 46.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	174
0	58	170
1	226	158
2	1377	158
0	8794	155

Stop Event

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

Counts

19 → 669

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>

eval119.0ms (3.2%)

Memory: 78.9MiB live, 78.9MiB allocated
Compiler: Compiled 18 190 to 2 122 computations (88.3% saved)

prune37.0ms (1%)

Memory

42.8MiB live, 42.8MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	993	4	997
Fresh	3	1	4
Picked	1	4	5
Done	0	3	3
Total	997	12	1 009

Accuracy

100.0%

Counts

1 009 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	99.8%	(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
✓	68.2%	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
▶	72.0%	(/.f64 x (/.f64 #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x)) (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)))
▶	72.0%	(/.f64 x #s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	66.8%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
✓	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
▶	72.0%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	66.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	66.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	72.0%	#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 148 to 115 computations (22.3% saved)

simplify133.0ms (3.5%)

Memory

13.9MiB live, 13.9MiB 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 (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
cost-diff	384	(/.f64 x (/.f64 #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
cost-diff	-384	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 x #s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	1216	(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	195
0	60	190
1	106	187
2	204	184
3	530	182
4	1291	182
5	2495	182
6	4715	182
7	5905	182
8	6346	182
9	6488	182
10	6640	182
11	6772	182
12	7502	182
0	8193	180

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (2.3%)

Memory

32.1MiB live, 32.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.015625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
accuracy	17.895097778782315	#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0.08984375	(/.f64 x (/.f64 #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
accuracy	0.27734375	(/.f64 #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
accuracy	33.56214926307553	#s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(/.f64 x #s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy	0.1328125	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy	33.42230039065175	#s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0546875	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
accuracy	0.08984375	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy	33.37921845433533	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
accuracy	0.1484375	(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))

Samples

58.0ms	244×	0	valid
3.0ms	8×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 280 to 63 computations (77.5% saved)

Precisions

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

ival-mult: 16.0ms (35.7% of total)

ival-div: 13.0ms (29% of total)

ival-add: 5.0ms (11.2% of total)

ival-pow: 5.0ms (11.2% of total)

ival-neg: 2.0ms (4.5% of total)

adjust: 1.0ms (2.2% of total)

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

exact: 1.0ms (2.2% of total)

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

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

series15.0ms (0.4%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify101.0ms (2.7%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1436
1	270	1436
2	628	1424
3	1445	1424
4	3129	1392
5	5591	1392
0	8102	1305

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

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

rewrite110.0ms (2.9%)

Memory

38.9MiB live, 38.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	176
0	60	171
1	243	154
2	1339	154
0	8912	154

Stop Event

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

Counts

19 → 558

Calls

Call 1

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

Outputs
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eval98.0ms (2.6%)

Memory: 64.0MiB live, 64.0MiB allocated
Compiler: Compiled 11 873 to 1 738 computations (85.4% saved)

prune34.0ms (0.9%)

Memory

37.8MiB live, 37.8MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	818	1	819
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	819	12	831

Accuracy

100.0%

Counts

831 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
✓	99.8%	(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
✓	68.2%	(/.f64 (.f64 #s(approx (+ -9 ( 4 (* x x))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 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)))
	72.0%	(/.f64 x #s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	72.0%	(/.f64 x #s(approx (/ (/ -1 (+ (* x -2) 3)) (neg x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	66.8%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
✓	99.9%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	72.0%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	66.8%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	66.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓	72.0%	#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 342 to 169 computations (50.6% saved)

regimes16.0ms (0.4%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

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

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

Calls

2 calls:

8.0ms	x
7.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	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 (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.9%	1	`x`
66.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.895620534446354e-9	2213766979.290814
0.0ms	-22030194.89878192	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify29.0ms (0.8%)

Memory

18.6MiB live, 18.6MiB 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 -20000000 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 3022314549036573/302231454903657293676544 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 -20000000 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 3022314549036573/302231454903657293676544 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 -20000000 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 3022314549036573/302231454903657293676544 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))

soundness608.0ms (16.1%)

Memory

3.5MiB live, 3.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 137 to 60 computations (56.2% saved)

preprocess51.0ms (1.4%)

Memory: 37.7MiB live, 37.7MiB 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%)

sample495.0ms (13.1%)

explain89.0ms (2.4%)

preprocess42.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.6%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

simplify155.0ms (4.1%)

rewrite128.0ms (3.4%)

eval32.0ms (0.8%)

prune10.0ms (0.3%)

simplify212.0ms (5.6%)

localize51.0ms (1.3%)

series9.0ms (0.2%)

simplify88.0ms (2.3%)

rewrite157.0ms (4.2%)

eval269.0ms (7.1%)

prune73.0ms (1.9%)

simplify111.0ms (2.9%)

localize91.0ms (2.4%)

series17.0ms (0.4%)

simplify118.0ms (3.1%)

rewrite125.0ms (3.3%)

eval119.0ms (3.2%)

prune37.0ms (1%)

simplify133.0ms (3.5%)

localize88.0ms (2.3%)

series15.0ms (0.4%)

simplify101.0ms (2.7%)

rewrite110.0ms (2.9%)

eval98.0ms (2.6%)

prune34.0ms (0.9%)

regimes16.0ms (0.4%)

regimes6.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify29.0ms (0.8%)

soundness608.0ms (16.1%)

preprocess51.0ms (1.4%)

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