Metrics for 3frac (problem 3.3.3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

14.3MiB live, 14.3MiB 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)

sample2.1s (23.8%)

Memory

7.5MiB live, 2 924.8MiB allocated

Samples

1.5s	7 205×	1	valid
115.0ms	543×	2	valid
70.0ms	508×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-div: 468.0ms (33.5% of total)

adjust: 315.0ms (22.6% of total)

ival-add: 248.0ms (17.8% of total)

ival-sub: 242.0ms (17.3% of total)

ival-fabs: 83.0ms (5.9% of total)

ival->: 28.0ms (2% of total)

exact: 9.0ms (0.6% of total)

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

Bogosity

explain222.0ms (2.5%)

Memory

14.9MiB live, 248.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
95	-	-	`(+.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	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	-	-	`(/.f64 #s(literal 2 binary64) x)`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
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	95	0

Confusion

	Predicted +	Predicted -
+	95	0
-	0	161

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	95	0	0
-	0	0	161

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	161
1	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms	456×	1	valid
6.0ms	30×	2	valid
2.0ms	26×	0	valid

Compiler

Compiled 112 to 34 computations (69.6% saved)

Precisions

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

ival-div: 28.0ms (46.2% of total)

adjust: 13.0ms (21.4% of total)

ival-add: 9.0ms (14.8% of total)

ival-sub: 9.0ms (14.8% of total)

exact: 1.0ms (1.6% of total)

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

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

preprocess81.0ms (0.9%)

Memory

-36.0MiB live, 47.2MiB 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 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))

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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(+.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)

simplify16.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB 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 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.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 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 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)))
#s(literal 1 binary64)
(+.f64 x #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))

localize104.0ms (1.2%)

Memory

11.4MiB live, 84.6MiB 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	0.02734375	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy	20.95273945282065	(+.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

91.0ms	228×	1	valid
3.0ms	15×	2	valid
1.0ms	13×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 66.0ms (79.8% of total)

adjust: 6.0ms (7.3% of total)

ival-add: 5.0ms (6% of total)

ival-sub: 4.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

-39.2MiB live, 8.2MiB 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 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 (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 (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 -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 (/ 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 (/ -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 #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 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 (/ 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 (/ -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 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 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

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1) (- x 1))

1.0ms

-inf

((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1) (- x 1))

1.0ms

((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1) (- x 1))

simplify191.0ms (2.2%)

Memory

0.4MiB live, 188.2MiB 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	2214	394
4	6907	394
0	8110	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 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- x 1)
(- x 1)
(- x 1)
(/ 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))
(/ -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 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) 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 (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)))
(/ -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 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))
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 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) 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 (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
-1
#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))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 x x) x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 x x) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
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 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64))) (.f64 (*.f64 x x) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
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))

rewrite282.0ms (3.2%)

Memory

-3.3MiB live, 340.2MiB 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 (/.f64 (.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 x #s(literal 1 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
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(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))

eval73.0ms (0.8%)

Memory: 9.1MiB live, 162.5MiB allocated
Compiler: Compiled 17 237 to 1 682 computations (90.2% saved)

prune179.0ms (2.1%)

Memory

-10.3MiB live, 196.1MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	486	11	497
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	486	12	498

Accuracy

99.0%

Counts

498 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
▶	7.4%	(fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	53.9%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) x)))
	67.1%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64))))
	17.9%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
	66.9%	(/.f64 (+.f64 x (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
	67.2%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x))
✓	67.3%	(+.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))))
▶	98.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)))
▶	98.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x)))
	97.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
▶	5.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 440 to 218 computations (50.5% saved)

simplify206.0ms (2.4%)

Memory

13.8MiB live, 203.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	(fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x)
cost-diff	576	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	128	(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	384	(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x 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 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)))

Rules

16 422×	`lower-fma.f32`
16 414×	`lower-fma.f64`
2 996×	`lower-+.f32`
2 994×	`lower-+.f64`
2 984×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	310
0	64	310
1	121	296
2	268	293
3	670	281
4	2257	276
0	8071	269

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

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

localize302.0ms (3.5%)

Memory

32.0MiB live, 269.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy	0.4340431327181872	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	29.88313002997732	(/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy	59.17468793341211	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
accuracy	0	(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	0.19183065913496908	(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy	0.4418556327181873	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	59.21433022806598	(fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	0.4525403455552469	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.47293223334397033	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x)))
accuracy	0.633149210526153	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	60.76779938823973	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy	0.2992069698205959	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)))
accuracy	0.4525403455552469	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.4642590955552469	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))
accuracy	0.633149210526153	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))

Samples

204.0ms	228×	1	valid
21.0ms	13×	0	valid
9.0ms	15×	2	valid

Compiler

Compiled 282 to 37 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 56.0ms (36% of total)

ival-div: 46.0ms (29.6% of total)

ival-add: 28.0ms (18% of total)

adjust: 17.0ms (10.9% of total)

ival-sub: 8.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

2.9MiB live, 38.7MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
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#s(alt (/ 2 (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#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 (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#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 (/ (- (* (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 #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 (/ (- (* (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 #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 (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 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 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 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 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 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 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.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 x #s(literal 1 binary64)) x) (patch (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (patch (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (patch (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (patch (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#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 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)) (taylor -inf x) (#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 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2)) (taylor -inf x) (#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 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 x (-.f64 x #s(literal 1 binary64))) (patch (.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x)) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (/ (- (/ 2 (* x x)) -2) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (* (* x x) x)) (- (/ 2 (* x x)) -2) (/ 2 (* x x)) (- x (* 2 (+ x 1))) (+ (* (- x (* 2 (+ x 1))) (/ 1 (* (+ x 1) x))) (/ 1 (- x 1))) (* 2 (+ x 1)) (* (+ x 1) x) (+ (* (/ 1 (+ (* x x) -1)) (- x 1)) (/ (+ (* -2 (- x 1)) x) (* x (- x 1)))) (+ (* -2 (- x 1)) x) (/ 1 (+ (* x x) -1)) (+ (* x x) -1) (* (* x x) x) (/ 1 (* (+ x 1) x)) (/ (+ (* -2 (- x 1)) x) (* x (- x 1))) (* x (- x 1)))

4.0ms

-inf

((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x)) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (/ (- (/ 2 (* x x)) -2) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (* (* x x) x)) (- (/ 2 (* x x)) -2) (/ 2 (* x x)) (- x (* 2 (+ x 1))) (+ (* (- x (* 2 (+ x 1))) (/ 1 (* (+ x 1) x))) (/ 1 (- x 1))) (* 2 (+ x 1)) (* (+ x 1) x) (+ (* (/ 1 (+ (* x x) -1)) (- x 1)) (/ (+ (* -2 (- x 1)) x) (* x (- x 1)))) (+ (* -2 (- x 1)) x) (/ 1 (+ (* x x) -1)) (+ (* x x) -1) (* (* x x) x) (/ 1 (* (+ x 1) x)) (/ (+ (* -2 (- x 1)) x) (* x (- x 1))) (* x (- x 1)))

3.0ms

inf

((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x)) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (/ (- (/ 2 (* x x)) -2) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (* (* x x) x)) (- (/ 2 (* x x)) -2) (/ 2 (* x x)) (- x (* 2 (+ x 1))) (+ (* (- x (* 2 (+ x 1))) (/ 1 (* (+ x 1) x))) (/ 1 (- x 1))) (* 2 (+ x 1)) (* (+ x 1) x) (+ (* (/ 1 (+ (* x x) -1)) (- x 1)) (/ (+ (* -2 (- x 1)) x) (* x (- x 1)))) (+ (* -2 (- x 1)) x) (/ 1 (+ (* x x) -1)) (+ (* x x) -1) (* (* x x) x) (/ 1 (* (+ x 1) x)) (/ (+ (* -2 (- x 1)) x) (* x (- x 1))) (* x (- x 1)))

simplify263.0ms (3%)

Memory

-21.0MiB live, 154.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 456×	`lower-fma.f64`
14 456×	`lower-fma.f32`
4 280×	`lower-*.f64`
4 280×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	2223
1	389	2204
2	985	2129
3	2998	2053
4	6910	2041
0	8357	1980

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

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

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

rewrite549.0ms (6.3%)

Memory

-10.2MiB live, 113.4MiB allocated

Rules

4 314×	`lower-/.f32`
4 296×	`lower-/.f64`
3 060×	`lower-*.f32`
3 050×	`lower-*.f64`
2 944×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	258
0	64	247
1	308	239
2	3317	239
0	8153	220

Stop Event

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

Counts

22 → 758

Calls

Call 1

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

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

eval296.0ms (3.4%)

Memory: -8.4MiB live, 142.6MiB allocated
Compiler: Compiled 32 183 to 2 533 computations (92.1% saved)

prune378.0ms (4.3%)

Memory

1.1MiB live, 240.9MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 109	14	1 123
Fresh	4	2	6
Picked	2	3	5
Done	1	0	1
Total	1 116	19	1 135

Accuracy

100.0%

Counts

1 135 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	53.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* -2 (- x 1)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
	7.5%	(fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	16.9%	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
	67.1%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64))))
	17.9%	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)))
▶	67.2%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x))
	16.6%	(+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x))
	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x) (.f64 x x)))
✓	98.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)))
	98.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
	98.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
✓	98.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x)))
▶	16.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))
▶	97.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)))
	98.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))))))
✓	5.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
	33.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- (/ 2 (* x x)) -2) (* (* x x) x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))))

Compiler

Compiled 647 to 325 computations (49.8% saved)

simplify155.0ms (1.8%)

Memory

8.0MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))
cost-diff	576	(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal -2 binary64)))
cost-diff	640	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))
cost-diff	1664	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
cost-diff	192	(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff	768	(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
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 1 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	#s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x))
cost-diff	384	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)

Rules

16 314×	`lower-fma.f32`
16 308×	`lower-fma.f64`
3 178×	`lower-*.f32`
3 164×	`lower-*.f64`
1 884×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	415
0	73	379
1	134	343
2	379	331
3	1865	323
4	4450	302
0	8226	291

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

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

localize224.0ms (2.6%)

Memory

-5.3MiB live, 435.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4525403455552469	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.47293223334397033	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))
accuracy	38.729830560598835	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x))
accuracy	52.32137024647081	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
accuracy	0.621430460526153	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
accuracy	60.93697806386845	(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy	20.959792607923887	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	0.2992069698205959	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)))
accuracy	0.633149210526153	(/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))
accuracy	0.7750592270868352	#s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64))
accuracy	0.0703125	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)
accuracy	0.4525403455552469	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.4642590955552469	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x))
accuracy	0.47293223334397033	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x))

Samples

173.0ms	236×	1	valid
14.0ms	15×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 355 to 36 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 45.0ms (29% of total)

ival-sub: 34.0ms (21.9% of total)

ival-div: 28.0ms (18% of total)

ival-add: 24.0ms (15.4% of total)

adjust: 24.0ms (15.4% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

27.5MiB live, 66.0MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 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 x x)) #s(literal -2 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 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 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 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 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 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 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 7)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor 0 x) (#s(alt #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (patch #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4)) (taylor 0 x) (#s(alt #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (patch #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) (taylor 0 x) (#s(alt #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (patch #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) (taylor 0 x) (#s(alt #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (patch #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#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 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) #<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 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) #<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 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (* x x)) (- (/ 2 (* x x)) -2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x)) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x) (- (+ (/ 1 (- x 1)) (/ 1 (+ x 1))) (/ 2 x)) (+ (/ 1 (- x 1)) (/ 1 (+ x 1))) (/ 1 (- x 1)) (- x 1) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* (+ x 1) -2) x) (* (+ (* x x) x) (- x 1)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) x) (- x 1))) (* (/ 2 (* x x)) (* (* x x) x)) (/ (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (* (* (* (* x x) x) x) (* x x))) (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (+ x 1))

3.0ms

inf

((/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (* x x)) (- (/ 2 (* x x)) -2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x)) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x) (- (+ (/ 1 (- x 1)) (/ 1 (+ x 1))) (/ 2 x)) (+ (/ 1 (- x 1)) (/ 1 (+ x 1))) (/ 1 (- x 1)) (- x 1) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* (+ x 1) -2) x) (* (+ (* x x) x) (- x 1)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) x) (- x 1))) (* (/ 2 (* x x)) (* (* x x) x)) (/ (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (* (* (* (* x x) x) x) (* x x))) (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (+ x 1))

3.0ms

((/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (* x x)) (- (/ 2 (* x x)) -2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x)) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (* (* x x) x) (- (+ (/ 1 (- x 1)) (/ 1 (+ x 1))) (/ 2 x)) (+ (/ 1 (- x 1)) (/ 1 (+ x 1))) (/ 1 (- x 1)) (- x 1) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* (+ x 1) -2) x) (* (+ (* x x) x) (- x 1)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) x) (- x 1))) (* (/ 2 (* x x)) (* (* x x) x)) (/ (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (* (* (* (* x x) x) x) (* x x))) (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (+ x 1))

simplify156.0ms (1.8%)

Memory

-17.7MiB live, 262.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 412×	`lower-fma.f64`
11 412×	`lower-fma.f32`
3 156×	`lower-*.f64`
3 156×	`lower-*.f32`
2 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2183
1	299	2174
2	818	2077
3	2573	1993
4	6312	1985
0	8297	1943

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

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

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

rewrite281.0ms (3.2%)

Memory

6.0MiB live, 455.3MiB allocated

Rules

7 100×	`lower-fma.f32`
7 094×	`lower-fma.f64`
4 736×	`lower-*.f32`
4 722×	`lower-*.f64`
4 686×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	339
0	73	307
1	327	285
2	3499	273
0	10136	253

Stop Event

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

Counts

22 → 720

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 x (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x x) x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(pow.f64 (/.f64 (.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))) x) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x) (.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 x x) x) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (neg.f64 x) x)) x))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x) (.f64 x x)) (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x))))) (/.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 x x) x) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (neg.f64 (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)) (/.f64 (/.f64 #s(literal -8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) x) (/.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (.f64 x x))) #s(literal -1 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 (*.f64 x x) x)))
(.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 x (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.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 (fma.f64 (.f64 x 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) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.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 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #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 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) 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 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) 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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.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 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))

eval146.0ms (1.7%)

Memory: -9.0MiB live, 295.2MiB allocated
Compiler: Compiled 36 719 to 2 793 computations (92.4% saved)

prune171.0ms (2%)

Memory

-15.2MiB live, 279.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 226	9	1 235
Fresh	11	0	11
Picked	4	1	5
Done	2	1	3
Total	1 243	11	1 254

Accuracy

100.0%

Counts

1 254 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.8%	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
▶	99.0%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
▶	39.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (*.f64 x x) x) x)) x))
	98.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (*.f64 x x)) x))
▶	98.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x)))
	39.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (/ (- (/ 2 (* x x)) -2) (* x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)))) x))
	97.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
✓	97.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)))
▶	16.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))
✓	5.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
▶	33.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))))

Compiler

Compiled 301 to 148 computations (50.8% saved)

simplify194.0ms (2.2%)

Memory

44.8MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (*.f64 x x) x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))
cost-diff	128	(.f64 (.f64 (*.f64 x x) x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (*.f64 x x) x) x)) x))
cost-diff	256	(-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (*.f64 x x) x) x)) x)
cost-diff	0	(/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))
cost-diff	0	#s(approx (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x))))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))))
cost-diff	128	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x)))
cost-diff	384	(/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
cost-diff	192	(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))

Rules

28 200×	`lower-fma.f32`
28 196×	`lower-fma.f64`
4 582×	`lower-*.f32`
4 566×	`lower-*.f64`
2 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	526
0	77	524
1	160	440
2	403	398
3	1195	380
4	3851	358
0	8170	354

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (2.2%)

Memory

-17.1MiB live, 333.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	0.47293223334397033	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))
accuracy	0.7810014666761617	#s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (*.f64 x x) x) #s(literal 2 binary64)))
accuracy	52.32137024647081	(/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))
accuracy	0.078125	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	0.47293223334397033	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (*.f64 x x) x) x)) x))
accuracy	45.84478165652413	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
accuracy	0.060878759768442016	(.f64 (.f64 (.f64 x x) x) (.f64 x x))
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	0.47293223334397033	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))))
accuracy	41.56499387571879	(/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))
accuracy	0.015625	(/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x)
accuracy	0.140625	(/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x))
accuracy	0.2992069698205959	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x)))
accuracy	0.7750592270868352	#s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
accuracy	0.621430460526153	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))

Samples

142.0ms	236×	1	valid
12.0ms	15×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 381 to 44 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 40.0ms (32.5% of total)

ival-div: 34.0ms (27.6% of total)

ival-add: 19.0ms (15.4% of total)

adjust: 19.0ms (15.4% of total)

ival-sub: 10.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

7.0MiB live, 45.7MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow x 2) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.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 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.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 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (patch #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (patch #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (patch #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (patch #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x)) (patch (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x)) (patch (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) 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(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x)) (patch (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) 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(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x)) (patch (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 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 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) 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(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) 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(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) 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(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 ( x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 5)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (patch (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) 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 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) 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 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) 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 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (patch (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (patch (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (patch (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (patch (/.f64 #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (patch #s(approx (- ( (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (*.f64 x x) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (patch #s(approx (- ( (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (*.f64 x x) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (patch #s(approx (- ( (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (*.f64 x x) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (patch #s(approx (- ( (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (.f64 (.f64 (*.f64 x x) x) #s(literal 2 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>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((* (+ (* x x) x) (- x 1)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) x) (- x 1))) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* x x) x) (/ (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) x) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (+ (* (* x x) 2) 2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/ (+ (* (* x x) 2) 2) (* (* (* x x) x) (* x x))) (/ (/ (- 2 (* (* x x) -2)) (* (* (* x x) x) x)) x) (- 2 (* (* x x) -2)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- 2 (* (* x x) -2)) (* (* (* x x) x) x)) (* (* (* x x) x) 2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (* (* (* (* x x) x) x) (* x x))) (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (- x 1) (* (* x x) x) (* (* (* x x) x) (* x x)) (* (* (* x x) x) x))

4.0ms

inf

((* (+ (* x x) x) (- x 1)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) x) (- x 1))) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* x x) x) (/ (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) x) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (+ (* (* x x) 2) 2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/ (+ (* (* x x) 2) 2) (* (* (* x x) x) (* x x))) (/ (/ (- 2 (* (* x x) -2)) (* (* (* x x) x) x)) x) (- 2 (* (* x x) -2)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- 2 (* (* x x) -2)) (* (* (* x x) x) x)) (* (* (* x x) x) 2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (* (* (* (* x x) x) x) (* x x))) (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (- x 1) (* (* x x) x) (* (* (* x x) x) (* x x)) (* (* (* x x) x) x))

3.0ms

((* (+ (* x x) x) (- x 1)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) x) (- x 1))) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* x x) x) (/ (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) x) (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) (+ (* (* x x) 2) 2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/ (+ (* (* x x) 2) 2) (* (* (* x x) x) (* x x))) (/ (/ (- 2 (* (* x x) -2)) (* (* (* x x) x) x)) x) (- 2 (* (* x x) -2)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- 2 (* (* x x) -2)) (* (* (* x x) x) x)) (* (* (* x x) x) 2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (* (* (* (* x x) x) x) (* x x))) (- (* (/ 2 (* x x)) (* (* x x) x)) (* (* (* x x) x) -2)) (- x 1) (* (* x x) x) (* (* (* x x) x) (* x x)) (* (* (* x x) x) x))

simplify202.0ms (2.3%)

Memory

18.9MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 606×	`lower-fma.f64`
10 606×	`lower-fma.f32`
3 214×	`lower-*.f64`
3 214×	`lower-*.f32`
1 776×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	2375
1	220	2366
2	590	2278
3	2071	2219
4	5958	2219
0	8631	2147

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 285

Calls

Call 1

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

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

rewrite256.0ms (2.9%)

Memory

-11.4MiB live, 175.8MiB allocated

Rules

6 540×	`lower-fma.f32`
6 536×	`lower-fma.f64`
4 534×	`lower-*.f32`
4 518×	`lower-*.f64`
4 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	469
0	77	413
1	374	363
2	3509	351
0	9707	336

Stop Event

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

Counts

24 → 639

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x x x)) (-.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (fma.f64 x x x))) (.f64 (.f64 x (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) x) (-.f64 (.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 (.f64 x x) x) x)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x (-.f64 (.f64 (.f64 x x) x) x))) (fma.f64 x x (neg.f64 x)))
(/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (fma.f64 x x x) (fma.f64 (.f64 x 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)) (.f64 x (-.f64 (.f64 (.f64 x x) x) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (neg.f64 x))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 (.f64 x x) x) x))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (neg.f64 x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 (.f64 x x) x) x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)) (.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x 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)) (fma.f64 x x x))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)))
(.f64 (neg.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x)))
(.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(/.f64 (.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(neg.f64 (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))) (/.f64 #s(approx (+ ( (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))
(.f64 (.f64 x (-.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (fma.f64 x x (neg.f64 x)) (.f64 x (-.f64 (.f64 (*.f64 x x) x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 (fma.f64 x x (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (.f64 x x))))))
(/.f64 (.f64 x (-.f64 (.f64 (*.f64 x x) x) x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) x))))
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(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.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 (*.f64 x x) 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))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.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 (fma.f64 x x #s(literal -1 binary64)) (*.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) x))
(/.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.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 (*.f64 x x) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) 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))
(expm1.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.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))))
(-.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 (.f64 x x) x) (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 x 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 (*.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 (.f64 (.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.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 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) x)
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1 binary64))
(.f64 (.f64 (.f64 x x) x) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(.f64 x (.f64 (.f64 (.f64 x x) x) x))
(pow.f64 x #s(literal 5 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))

eval102.0ms (1.2%)

Memory: 0.7MiB live, 189.4MiB allocated
Compiler: Compiled 21 719 to 1 618 computations (92.6% saved)

prune134.0ms (1.5%)

Memory

4.7MiB live, 255.4MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 010	7	1 017
Fresh	2	2	4
Picked	3	2	5
Done	0	2	2
Total	1 015	13	1 028

Accuracy

100.0%

Counts

1 028 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
	98.9%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
	99.0%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 x #s(literal 1 binary64)))))
	99.0%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #s(approx (* (+ (* x x) x) (- x 1)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
	33.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x)))
	98.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (*.f64 x x)) x))
✓	98.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) x) (*.f64 x x)))
	39.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- 2 (* (* x x) -2)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 (*.f64 x x) x) x)) x))
	97.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
✓	97.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)))
✓	5.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
	39.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 2 binary64) x)))
	33.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (/ (- (/ 2 (* x x)) -2) (* x x)) x) (/.f64 #s(approx (+ (* (* x x) 2) 2) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 x x)))))

Compiler

Compiled 881 to 216 computations (75.5% saved)

regimes24.0ms (0.3%)

Memory

18.7MiB live, 57.0MiB allocated

Counts

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

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

Calls

2 calls:

11.0ms	x
11.0ms	(+.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)

regimes12.0ms (0.1%)

Memory

-11.4MiB live, 27.3MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms	x
5.0ms	(+.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)

regimes12.0ms (0.1%)

Memory

-14.3MiB live, 27.1MiB allocated

Counts

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

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

Calls

2 calls:

7.0ms	x
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))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	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

15.0MiB live, 15.0MiB allocated

Counts

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

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

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
99.0%	1	`x`
99.0%	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

10.2MiB live, 10.2MiB 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 (.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (- (/ (- (/ 2 (* x x)) -2) (* x x)) -2) #s(literal 2 binary64)) (.f64 (.f64 x x) x)))
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #s(approx (* (+ (* x x) x) (- x 1)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))

Outputs
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) #s(approx (* (+ (* x x) x) (- x 1)) (*.f64 (fma.f64 x x #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
99.0%	1	`x`
99.0%	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)

regimes5.0ms (0.1%)

Memory

-31.1MiB live, 7.9MiB 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 (*.f64 x x) x)))

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

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

Calls

2 calls:

3.0ms	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
97.7%	1	`x`
97.7%	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)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
5.1%	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))))`
5.1%	1	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`mul-1-neg_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	193
1	59	193
2	65	193
3	72	193
4	73	193

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.0s (11.9%)

Memory

33.0MiB live, 811.6MiB allocated

Rules

11 412×	`lower-fma.f64`
11 412×	`lower-fma.f32`
10 606×	`lower-fma.f64`
10 606×	`lower-fma.f32`
8 678×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	2375
1	220	2366
2	590	2278
3	2071	2219
4	5958	2219
0	8631	2147
0	102	449
1	268	428
2	699	407
3	2214	394
4	6907	394
0	8110	388
0	53	469
0	77	413
1	374	363
2	3509	351
0	9707	336
0	10	35
0	17	35
1	94	35
2	1095	35
0	8508	32
0	38	258
0	64	247
1	308	239
2	3317	239
0	8153	220
0	125	2183
1	299	2174
2	818	2077
3	2573	1993
4	6312	1985
0	8297	1943

Stop Event

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

Compiler

Compiled 373 to 177 computations (52.5% saved)

preprocess67.0ms (0.8%)

Memory: 0.6MiB live, 118.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 260 to 118 computations (54.6% 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%)

sample2.1s (23.8%)

explain222.0ms (2.5%)

preprocess81.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize104.0ms (1.2%)

series35.0ms (0.4%)

simplify191.0ms (2.2%)

rewrite282.0ms (3.2%)

eval73.0ms (0.8%)

prune179.0ms (2.1%)

simplify206.0ms (2.4%)

localize302.0ms (3.5%)

series29.0ms (0.3%)

simplify263.0ms (3%)

rewrite549.0ms (6.3%)

eval296.0ms (3.4%)

prune378.0ms (4.3%)

simplify155.0ms (1.8%)

localize224.0ms (2.6%)

series21.0ms (0.2%)

simplify156.0ms (1.8%)

rewrite281.0ms (3.2%)

eval146.0ms (1.7%)

prune171.0ms (2%)

simplify194.0ms (2.2%)

localize195.0ms (2.2%)

series24.0ms (0.3%)

simplify202.0ms (2.3%)

rewrite256.0ms (2.9%)

eval102.0ms (1.2%)

prune134.0ms (1.5%)

regimes24.0ms (0.3%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (11.9%)

preprocess67.0ms (0.8%)

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