Metrics for 3frac (problem 3.3.3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.8%	6.3%	50%	0%	0%	0%	4
93.8%	46.9%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	50%	0%	50%	0%	0%	0%	11
100%	50%	0%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 13 computations (35% saved)

sample2.0s (21.3%)

Memory

18.3MiB live, 2 871.6MiB allocated

Samples

1.3s	7 240×	1	valid
149.0ms	548×	2	valid
37.0ms	468×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-div: 506.0ms (39.9% of total)

ival-add: 251.0ms (19.8% of total)

adjust: 243.0ms (19.2% of total)

ival-sub: 173.0ms (13.7% of total)

ival-fabs: 57.0ms (4.5% of total)

ival->: 24.0ms (1.9% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain274.0ms (2.9%)

Memory

-8.7MiB live, 341.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
89	1	(-4.746859237536056e+107)	-	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(/.f64 #s(literal 2 binary64) x)`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	90	0

Confusion

	Predicted +	Predicted -
+	89	0
-	1	166

Precision

0.9888888888888889

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	0
-	1	0	166

Precision?

0.9888888888888889

Recall?

1.0

Freqs

test

number	freq
0	166
1	90

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms	458×	1	valid
8.0ms	36×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 112 to 34 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-sub: 43.0ms (45.6% of total)

ival-div: 26.0ms (27.6% of total)

adjust: 14.0ms (14.8% of total)

ival-add: 11.0ms (11.7% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess57.0ms (0.6%)

Memory

19.1MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
144×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Outputs

(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify48.0ms (0.5%)

Memory

-19.8MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
144×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))

localize159.0ms (1.7%)

Memory

10.4MiB live, 82.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0234375	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy	19.791728748453487	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

118.0ms	229×	1	valid
4.0ms	18×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 10.0ms (37.9% of total)

adjust: 7.0ms (26.5% of total)

ival-add: 5.0ms (19% of total)

ival-sub: 4.0ms (15.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	0	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	-inf	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	inf	(/ 1 (+ x 1))
0.0ms	x	@	inf	(- (/ 1 (+ x 1)) (/ 2 x))

simplify655.0ms (7%)

Memory

-39.8MiB live, 240.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 678×	`lower-fma.f64`
8 678×	`lower-fma.f32`
2 816×	`lower--.f64`
2 816×	`lower--.f32`
2 690×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

rewrite380.0ms (4%)

Memory

3.3MiB live, 350.8MiB allocated

Rules

6 034×	`lower-fma.f64`
6 034×	`lower-fma.f32`
5 166×	`lower-*.f64`
5 166×	`lower-*.f32`
4 962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	17	35
1	94	35
2	1095	35
0	8508	32

Stop Event

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

Counts

5 → 441

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))

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

eval71.0ms (0.7%)

Memory: -4.3MiB live, 121.9MiB allocated
Compiler: Compiled 16 853 to 1 682 computations (90% saved)

prune93.0ms (1%)

Memory

17.6MiB live, 134.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	490	7	497
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	490	8	498

Accuracy

99.1%

Counts

498 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
	20.6%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
▶	17.1%	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	69.0%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	99.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
▶	98.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
▶	98.4%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
▶	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 258 to 132 computations (48.8% saved)

simplify213.0ms (2.3%)

Memory

5.8MiB live, 311.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	384	(fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))

Rules

11 138×	`lower-fma.f32`
11 136×	`lower-fma.f64`
2 184×	`lower--.f32`
2 178×	`lower--.f64`
2 112×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	285
0	52	267
1	99	267
2	181	261
3	403	258
4	991	258
5	3639	258
6	7238	258
0	8101	255

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (1.6%)

Memory

-5.8MiB live, 279.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	19.791728748453487	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	29.81957445164209	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	0.16875231005092795	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
accuracy	0.5712401278701369	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
accuracy	0.6890805933761356	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	0.42213507606524503	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
accuracy	0.5634276278701369	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	60.87864602435299	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	0.5751463778701369	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
accuracy	0.6890805933761356	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	0.6929868433761357	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))

Samples

94.0ms	229×	1	valid
11.0ms	18×	2	valid
2.0ms	9×	0	valid

Compiler

Compiled 244 to 30 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 22.0ms (31.6% of total)

adjust: 16.0ms (23% of total)

ival-add: 13.0ms (18.7% of total)

ival-mult: 11.0ms (15.8% of total)

ival-sub: 6.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-7.4MiB live, 28.5MiB allocated

Counts

19 → 228

Calls

Call 1

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

Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (patch (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (patch (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (patch (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (patch (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) (* x (* x x)))
1.0ms	x	@	0	(/ -2 x)
0.0ms	x	@	0	(/ 2 (* x (* x x)))
0.0ms	x	@	0	(/ (+ -2 (/ -2 (* x x))) (* x x))
0.0ms	x	@	-inf	(* x (* x x))

simplify289.0ms (3.1%)

Memory

24.8MiB live, 376.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 062×	`lower-fma.f64`
14 062×	`lower-fma.f32`
3 944×	`lower-*.f64`
3 944×	`lower-*.f32`
1 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1876
1	282	1837
2	730	1791
3	2827	1730
4	6639	1730
0	8298	1686

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 225

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 7))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 7))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (.f64 x (*.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 #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 #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 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (.f64 x (*.f64 x x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(+.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite359.0ms (3.8%)

Memory

9.0MiB live, 416.0MiB allocated

Rules

5 618×	`lower-/.f32`
5 602×	`lower-/.f64`
4 332×	`lower-fma.f32`
4 330×	`lower-fma.f64`
3 602×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	236
0	52	222
1	269	222
2	2887	222
0	9685	205

Stop Event

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

Counts

19 → 654

Calls

Call 1

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

Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) #s(literal 4 binary64))) (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) #s(literal 4 binary64))) (.f64 x (.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x x))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))

eval179.0ms (1.9%)

Memory: -19.8MiB live, 249.4MiB allocated
Compiler: Compiled 28 694 to 2 485 computations (91.3% saved)

prune165.0ms (1.8%)

Memory

38.5MiB live, 355.2MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 131	9	1 140
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1 134	14	1 148

Accuracy

100.0%

Counts

1 148 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x x x)))
	69.2%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
▶	20.6%	(/.f64 (+.f64 (neg.f64 (fma.f64 x x x)) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)))
▶	17.1%	(+.f64 (/.f64 #s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	69.0%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	99.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
▶	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
	18.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
✓	98.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
	98.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
✓	98.4%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
✓	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
	36.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))

Compiler

Compiled 413 to 210 computations (49.2% saved)

simplify322.0ms (3.4%)

Memory

-16.4MiB live, 433.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (neg.f64 x) #s(literal 1 binary64))
cost-diff	128	(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))
cost-diff	384	(+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))
cost-diff	1280	(+.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	384	(+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))
cost-diff	1408	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x x x)))
cost-diff	0	#s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 #s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(+.f64 (/.f64 #s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
cost-diff	384	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)

Rules

22 366×	`lower-fma.f32`
22 358×	`lower-fma.f64`
3 190×	`lower-*.f32`
3 182×	`lower-*.f64`
2 388×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	345
0	78	320
1	155	285
2	337	271
3	1135	270
4	4062	253
0	8665	253

Stop Event

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

Calls

Call 1

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

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

localize548.0ms (5.8%)

Memory

0.5MiB live, 383.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.08203125	(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	0.5673338778701369	(/.f64 (+.f64 (neg.f64 (fma.f64 x x x)) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)))
accuracy	61.33304849152886	(+.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.6656431331297448	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	29.81957445164209	(/.f64 (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x x x))
accuracy	59.71717652689959	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x x x)))
accuracy	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	0	#s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x))
accuracy	19.791728748453487	(+.f64 (/.f64 #s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	29.81957445164209	(/.f64 #s(approx (+ (* -2 (+ 1 x)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.109375	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
accuracy	0.42213507606524503	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
accuracy	0.0859375	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
accuracy	0.1328125	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
accuracy	0.16875231005092795	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
accuracy	0.6890805933761357	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Samples

322.0ms	236×	1	valid
143.0ms	18×	2	valid
1.0ms	2×	0	valid

Compiler

Compiled 335 to 44 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 431.0ms

ival-div: 173.0ms (40.1% of total)

adjust: 111.0ms (25.8% of total)

ival-mult: 109.0ms (25.3% of total)

ival-add: 29.0ms (6.7% of total)

ival-sub: 5.0ms (1.2% of total)

ival-neg: 3.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

-9.0MiB live, 29.1MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x 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 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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ 2 (/ 2 (* x x))) x)
1.0ms	x	@	inf	(+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2))))
1.0ms	x	@	inf	(+ (* (/ 1 (+ (* x x) -1)) (+ 1 x)) (/ (+ x (+ (* x -2) -2)) (+ (* x x) x)))
1.0ms	x	@	-inf	(+ (* (/ 1 (+ (* x x) -1)) (+ 1 x)) (/ (+ x (+ (* x -2) -2)) (+ (* x x) x)))
0.0ms	x	@	-inf	(+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2))))

simplify260.0ms (2.8%)

Memory

21.1MiB live, 340.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 122×	`lower-fma.f64`
13 122×	`lower-fma.f32`
4 052×	`lower-*.f64`
4 052×	`lower-*.f32`
2 600×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	2157
1	366	2068
2	997	2017
3	3929	1968
0	8462	1905

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

Inputs
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(- x 2)
(- (* x (+ 1 x)) 2)
(- (* x (+ 1 x)) 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
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(+.f64 #s(literal -2 binary64) (fma.f64 x x x))
(- (* x (+ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (fma.f64 x x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal -2 binary64) (fma.f64 x x x))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal -2 binary64) (fma.f64 x x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(+.f64 #s(literal -2 binary64) (fma.f64 x x x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(+.f64 #s(literal -2 binary64) (fma.f64 x x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(+.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (*.f64 x x)))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (.f64 x (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (.f64 x (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(.f64 x (.f64 x (neg.f64 x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 x (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 x (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 x (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(.f64 x (.f64 x (neg.f64 x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 x (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 x (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 x (.f64 x (.f64 x x)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite244.0ms (2.6%)

Memory

-5.9MiB live, 388.2MiB allocated

Rules

4 558×	`lower-fma.f32`
4 550×	`lower-fma.f64`
3 636×	`lower-*.f32`
3 628×	`lower-*.f64`
3 470×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	280
0	78	274
1	409	225
2	4546	225
0	8358	219

Stop Event

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

Counts

25 → 821

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (neg.f64 x))) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)) (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (neg.f64 x))) #s(literal -1 binary64)) x)
(pow.f64 (.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 x (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (neg.f64 x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x (neg.f64 x)))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)) #s(literal -1 binary64)) x)
(pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)))
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(fma.f64 x (fma.f64 x (neg.f64 x) x) (fma.f64 x (neg.f64 x) x))
(fma.f64 x (-.f64 x (*.f64 x x)) (fma.f64 x (neg.f64 x) x))
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(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) (fma.f64 x (neg.f64 x) x))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (neg.f64 x) x)))) (.f64 (fma.f64 x x x) (neg.f64 x)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (neg.f64 x) x)))) (.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)) (.f64 (fma.f64 x x x) (neg.f64 x)))
(fma.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)) (.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 (fma.f64 x (neg.f64 x) x) x (fma.f64 x (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (neg.f64 x) x))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (neg.f64 x) x)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x))) (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x)))
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(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 (*.f64 x x) x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
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(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x (neg.f64 x) x)) (.f64 x (fma.f64 x (neg.f64 x) x))) (.f64 (fma.f64 x (neg.f64 x) x) (fma.f64 x (neg.f64 x) x))) (-.f64 (*.f64 x (fma.f64 x (neg.f64 x) x)) (fma.f64 x (neg.f64 x) x)))
(/.f64 (.f64 (fma.f64 x x x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
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(/.f64 (.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x x) x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) x))
(*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(*.f64 (fma.f64 x (neg.f64 x) x) (+.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) x)
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(+.f64 (*.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x x)
(neg.f64 x)
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))

eval199.0ms (2.1%)

Memory: 16.4MiB live, 322.2MiB allocated
Compiler: Compiled 34 618 to 2 963 computations (91.4% saved)

prune155.0ms (1.7%)

Memory

9.4MiB live, 330.1MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 333	3	1 336
Fresh	1	4	5
Picked	4	1	5
Done	1	3	4
Total	1 339	11	1 350

Accuracy

100.0%

Counts

1 350 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.6%	(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
▶	99.1%	(/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)))
▶	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x))
▶	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
✓	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
	18.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
✓	98.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
	98.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
✓	98.4%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
✓	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
▶	36.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))

Compiler

Compiled 270 to 135 computations (50% saved)

simplify365.0ms (3.9%)

Memory

4.8MiB live, 246.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	384	(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
cost-diff	576	(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))
cost-diff	1152	(-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
cost-diff	0	#s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
cost-diff	0	#s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)))
cost-diff	64	(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff	128	(+.f64 (neg.f64 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
cost-diff	0	#s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x))
cost-diff	384	(/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)

Rules

18 422×	`lower-fma.f32`
18 418×	`lower-fma.f64`
3 446×	`lower-*.f32`
3 432×	`lower-*.f64`
2 390×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	415
0	86	427
1	172	391
2	429	371
3	1452	361
4	5692	283
0	8622	283

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (2.6%)

Memory

8.4MiB live, 323.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0859375	(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
accuracy	0.125	(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))
accuracy	61.33304849152886	(-.f64 (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))
accuracy	0.0703125	(.f64 x (.f64 x (.f64 x (.f64 x x))))
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	0.16875231005092795	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
accuracy	40.08202504661411	(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64))
accuracy	0.08203125	(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	0.5673338778701369	(/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
accuracy	0.42213507606524503	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
accuracy	0.6890805933761357	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.0859375	(/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)
accuracy	0.1328125	(/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x)
accuracy	0.16875231005092795	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x))
accuracy	0.4259988532449301	#s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))

Samples

157.0ms	236×	1	valid
13.0ms	18×	2	valid
1.0ms	2×	0	valid

Compiler

Compiled 339 to 48 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-div: 35.0ms (25.1% of total)

ival-sub: 30.0ms (21.5% of total)

adjust: 27.0ms (19.4% of total)

ival-add: 22.0ms (15.8% of total)

ival-mult: 21.0ms (15.1% of total)

ival-neg: 3.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-14.2MiB live, 26.7MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) (patch (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
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#s(alt (- x 2) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 x)) 2) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 x)) 2) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2)))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (* -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 (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x (.f64 x x)))) (patch (.f64 x (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (/ (/ (- (* (- -2 x) (- 1 x)) (+ (* x x) x)) (- 1 x)) (+ x 1)) x)
1.0ms	x	@	inf	(- (* (- -2 x) (- 1 x)) (+ (* x x) x))
0.0ms	x	@	0	(- (* (- -2 x) (- 1 x)) (+ (* x x) x))
0.0ms	x	@	0	(/ (+ (* x (* x 2)) 2) (* x (* x (* x (* x x)))))
0.0ms	x	@	-inf	(- (* (- -2 x) (- 1 x)) (+ (* x x) x))

simplify199.0ms (2.1%)

Memory

26.2MiB live, 296.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 668×	`lower-fma.f64`
9 668×	`lower-fma.f32`
3 946×	`lower-*.f64`
3 946×	`lower-*.f32`
1 376×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	2058
1	227	2026
2	641	1974
3	2279	1916
4	5799	1916
0	8104	1865

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

Calls

Call 1

Inputs
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(- (* -2 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
-2
(- x 2)
(- (* x (+ 1 x)) 2)
(- (* x (+ 1 x)) 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)

Outputs
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
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(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(- (* -2 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)
(.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (.f64 x (*.f64 x x)))
-2
#s(literal -2 binary64)
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- (* x (+ 1 x)) 2)
(fma.f64 x x (+.f64 x #s(literal -2 binary64)))
(- (* x (+ 1 x)) 2)
(fma.f64 x x (+.f64 x #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(fma.f64 x x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(fma.f64 x x (+.f64 x #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(fma.f64 x x (+.f64 x #s(literal -2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(fma.f64 x x (+.f64 x #s(literal -2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))

rewrite228.0ms (2.4%)

Memory

-21.0MiB live, 336.6MiB allocated

Rules

3 670×	`lower-*.f32`
3 656×	`lower-*.f64`
3 484×	`lower-/.f32`
3 464×	`lower-/.f64`
3 430×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	354
0	86	336
1	422	303
2	4496	303
0	8194	292

Stop Event

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

Counts

23 → 576

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) x))
(/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x)
(/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 x #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 x #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (neg.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) #s(literal -1 binary64)) x)
(pow.f64 (.f64 x (/.f64 x #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (/.f64 x #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) x))
(.f64 (pow.f64 (/.f64 x (neg.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (/.f64 x #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)))
(/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))) (neg.f64 x))
(/.f64 (.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)) x))
(.f64 (neg.f64 #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 2 (/ 2 ( x x))) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
#s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64)))
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(/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x (.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 x (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 (*.f64 x x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (neg.f64 x) #s(literal 5 binary64))
(.f64 x (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (neg.f64 x) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 (.f64 x x) (.f64 x x)) x)
(.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 x))
(.f64 (.f64 x (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (neg.f64 (.f64 x x)) (.f64 x (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) x)

eval105.0ms (1.1%)

Memory: 14.5MiB live, 164.1MiB allocated
Compiler: Compiled 18 429 to 2 068 computations (88.8% saved)

prune119.0ms (1.3%)

Memory

5.6MiB live, 202.4MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	869	8	877
Fresh	2	0	2
Picked	3	2	5
Done	1	3	4
Total	875	13	888

Accuracy

100.0%

Counts

888 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (/.f64 #s(approx (- (* (- -2 x) (- 1 x)) (+ (* x x) x)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
	99.8%	(/.f64 (/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))
	99.1%	(/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
	99.1%	(/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) x))
	99.1%	(/.f64 #s(approx (+ (neg (+ (* x x) x)) (* (+ (neg x) 1) (+ x (+ (* x -2) -2)))) #s(literal -2 binary64)) #s(approx (* (+ (neg x) 1) (+ (* x x) x)) (-.f64 x (.f64 x (.f64 x x)))))
✓	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (/ (+ 2 (/ 2 (* x x))) x) (/.f64 #s(literal 2 binary64) x)) x) x))
✓	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
✓	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
✓	98.4%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
✓	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
	19.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -2 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
	49.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) x) (.f64 x (*.f64 x x))) x)))
	35.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 #s(approx (+ (* x (* x 2)) 2) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))

Compiler

Compiled 619 to 201 computations (67.5% saved)

regimes19.0ms (0.2%)

Memory

-11.2MiB live, 26.7MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.1%)

Memory

-30.9MiB live, 7.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

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

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

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

Calls

2 calls:

4.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
99.1%	1	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.4%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
98.4%	1	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
4.9%	1	`x`
4.9%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	190
1	62	190
2	74	190
3	82	190
4	86	190
5	87	190

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (11.6%)

Memory

18.4MiB live, 848.1MiB allocated

Rules

13 122×	`lower-fma.f64`
13 122×	`lower-fma.f32`
9 668×	`lower-fma.f64`
9 668×	`lower-fma.f32`
8 678×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	354
0	86	336
1	422	303
2	4496	303
0	8194	292
0	142	2157
1	366	2068
2	997	2017
3	3929	1968
0	8462	1905
0	47	280
0	78	274
1	409	225
2	4546	225
0	8358	219
0	33	236
0	52	222
1	269	222
2	2887	222
0	9685	205
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388
0	92	2058
1	227	2026
2	641	1974
3	2279	1916
4	5799	1916
0	8104	1865
0	10	35
0	17	35
1	94	35
2	1095	35
0	8508	32

Stop Event

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

Compiler

Compiled 538 to 232 computations (56.9% saved)

preprocess89.0ms (0.9%)

Memory: -20.6MiB live, 93.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 236 to 110 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46

start0.0ms (0%)

analyze3.0ms (0%)

sample2.0s (21.3%)

explain274.0ms (2.9%)

preprocess57.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.5%)

localize159.0ms (1.7%)

series4.0ms (0%)

simplify655.0ms (7%)

rewrite380.0ms (4%)

eval71.0ms (0.7%)

prune93.0ms (1%)

simplify213.0ms (2.3%)

localize149.0ms (1.6%)

series17.0ms (0.2%)

simplify289.0ms (3.1%)

rewrite359.0ms (3.8%)

eval179.0ms (1.9%)

prune165.0ms (1.8%)

simplify322.0ms (3.4%)

localize548.0ms (5.8%)

series55.0ms (0.6%)

simplify260.0ms (2.8%)

rewrite244.0ms (2.6%)

eval199.0ms (2.1%)

prune155.0ms (1.7%)

simplify365.0ms (3.9%)

localize243.0ms (2.6%)

series18.0ms (0.2%)

simplify199.0ms (2.1%)

rewrite228.0ms (2.4%)

eval105.0ms (1.1%)

prune119.0ms (1.3%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (11.6%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46