Metrics for 3frac (problem 3.3.3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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)

sample2.5s (28.4%)

Memory

24.6MiB live, 2 537.0MiB allocated

Samples

1.9s	7 304×	1	valid
116.0ms	512×	2	valid
46.0ms	440×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

adjust: 671.0ms (38.6% of total)

ival-div: 513.0ms (29.5% of total)

ival-add: 249.0ms (14.3% of total)

ival-sub: 207.0ms (11.9% of total)

ival-fabs: 57.0ms (3.3% of total)

ival->: 28.0ms (1.6% of total)

exact: 10.0ms (0.6% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain243.0ms (2.7%)

Memory

0.3MiB live, 245.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
100	1	(3.186835299185872e+107)	-	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(/.f64 #s(literal 2 binary64) x)`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	101	0

Confusion

	Predicted +	Predicted -
+	100	0
-	1	155

Precision

0.9900990099009901

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	1	0	155

Precision?

0.9900990099009901

Recall?

1.0

Freqs

test

number	freq
0	155
1	101

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

102.0ms	456×	1	valid
17.0ms	20×	2	valid
3.0ms	36×	0	valid

Compiler

Compiled 111 to 34 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 31.0ms (38.1% of total)

ival-sub: 22.0ms (27% of total)

adjust: 14.0ms (17.2% of total)

ival-add: 14.0ms (17.2% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

preprocess104.0ms (1.2%)

Memory

4.7MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

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 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(+.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 15 to 10 computations (33.3% saved)

simplify24.0ms (0.3%)

Memory

-26.6MiB live, 26.1MiB 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))))

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))

localize66.0ms (0.7%)

Memory

34.1MiB live, 71.3MiB 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	0.05859375	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy	22.515215203898595	(+.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

53.0ms	228×	1	valid
2.0ms	10×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

adjust: 23.0ms (53.1% of total)

ival-div: 10.0ms (23.1% of total)

ival-add: 5.0ms (11.6% of total)

ival-sub: 4.0ms (9.2% 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

-28.5MiB live, 8.5MiB 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))

simplify172.0ms (1.9%)

Memory

7.5MiB live, 115.3MiB allocated

Algorithm

1×	egg-herbie

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

rewrite435.0ms (4.9%)

Memory

-31.2MiB live, 166.2MiB allocated

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
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eval385.0ms (4.3%)

Memory: 32.8MiB live, 106.5MiB allocated
Compiler: Compiled 14 654 to 1 716 computations (88.3% saved)

prune174.0ms (2%)

Memory

-4.0MiB live, 44.4MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	481	16	497
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	481	17	498

Accuracy

99.3%

Counts

498 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(/.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))))
	17.0%	(/.f64 (fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
▶	18.5%	(/.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)))
	64.8%	(/.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))
	17.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
▶	18.6%	(+.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))))
	18.7%	(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	18.7%	(+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	20.2%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #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))))
✓	64.9%	(+.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))))
	4.1%	(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	63.0%	(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	63.1%	(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 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 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
	97.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 595 to 350 computations (41.2% saved)

simplify203.0ms (2.3%)

Memory

-28.4MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	192	(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff	512	(-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff	1408	(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	128	(.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	384	(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	1344	(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))))))
cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff	0	(+.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))))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	384	(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	371
0	76	336
1	147	336
2	333	318
3	913	302
4	2979	300
5	6755	282
0	8343	271

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

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

localize481.0ms (5.4%)

Memory

35.0MiB live, 393.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy	0.05859375	(-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
accuracy	22.515215203898595	(+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	28.43069473944211	(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.09375	(.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	0.44795447393926396	(/.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)))
accuracy	59.577789207878475	(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))))))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	22.515215203898595	(+.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))))
accuracy	28.41897598944211	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	60.85433409214977	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy	0.33054788825186665	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.43623572393926396	(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.516422798976086	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.9077531182575767	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

391.0ms	239×	1	valid
8.0ms	10×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 354 to 44 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-mult: 156.0ms (48.8% of total)

adjust: 73.0ms (22.8% of total)

ival-add: 42.0ms (13.1% of total)

ival-div: 32.0ms (10% of total)

ival-sub: 11.0ms (3.4% of total)

ival-pow: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series70.0ms (0.8%)

Memory

1.2MiB live, 38.9MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#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 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) #<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 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) #<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 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) #<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 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 9)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 9)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 6)) (taylor 0 x) (#s(alt (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (patch (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 2 x) (taylor -inf x) (#s(alt (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (patch (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 x (.f64 (+.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) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 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 (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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<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 (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))) (patch (/.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))) #<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 (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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.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 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.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 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.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 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (- (/ 1 (* x x)) -1) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x (* 2 (+ x 1))) (* (- x 1) (- x (* 2 (+ x 1)))) (* (/ (+ x 1) x) (/ 2 (+ x 1))) (- (/ x (* (+ x 1) x)) (* (/ (+ x 1) x) (/ 2 (+ x 1)))) (/ x (* (+ x 1) x)) (/ 1 (* x x)) (/ 2 (pow x 4)) (+ x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)) (+ (- (/ x (* (+ x 1) x)) (* (/ (+ x 1) x) (/ 2 (+ x 1)))) (/ 1 (- x 1))))
4.0ms	x	@	inf	((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (- (/ 1 (* x x)) -1) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x (* 2 (+ x 1))) (* (- x 1) (- x (* 2 (+ x 1)))) (* (/ (+ x 1) x) (/ 2 (+ x 1))) (- (/ x (* (+ x 1) x)) (* (/ (+ x 1) x) (/ 2 (+ x 1)))) (/ x (* (+ x 1) x)) (/ 1 (* x x)) (/ 2 (pow x 4)) (+ x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)) (+ (- (/ x (* (+ x 1) x)) (* (/ (+ x 1) x) (/ 2 (+ x 1)))) (/ 1 (- x 1))))
3.0ms	x	@	-inf	((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (- (/ 1 (* x x)) -1) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x (* 2 (+ x 1))) (* (- x 1) (- x (* 2 (+ x 1)))) (* (/ (+ x 1) x) (/ 2 (+ x 1))) (- (/ x (* (+ x 1) x)) (* (/ (+ x 1) x) (/ 2 (+ x 1)))) (/ x (* (+ x 1) x)) (/ 1 (* x x)) (/ 2 (pow x 4)) (+ x 1) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)) (+ (- (/ x (* (+ x 1) x)) (* (/ (+ x 1) x) (/ 2 (+ x 1)))) (/ 1 (- x 1))))

Time

Variable

Point

Expression

52.0ms

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

4.0ms

inf

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

3.0ms

-inf

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

simplify181.0ms (2%)

Memory

-0.8MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2066
1	386	1986
2	1050	1897
3	4172	1871
0	8499	1815

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

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 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
(/ 1 (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
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 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
2
2
2
2
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
2
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(+ 2 (* x (- (* -1 x) 1)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 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 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
1
(+ 1 x)
(+ 1 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)
(* -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 (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 (/ 1 (pow x 6))) (/ 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 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 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)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 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)
(* -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)
2
2
2
2
(* -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 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
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))) (/ 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))
(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 (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 4))) (+ 2 (* 2 (/ 1 (pow x 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 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 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 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 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 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) 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)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
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)))
(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)))

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 (pow.f64 x #s(literal 3 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 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 9))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 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 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #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
#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)
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)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 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 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #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 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.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)
-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
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(+ 2 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ -2 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 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #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)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(/ -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 (pow.f64 x #s(literal 3 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 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 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)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 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 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))
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) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
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(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))

rewrite205.0ms (2.3%)

Memory

0.2MiB live, 322.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	287
0	76	259
1	365	232
2	3978	232
0	8783	215

Stop Event

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

Counts

22 → 1 273

Calls

Call 1

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

Outputs
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eval274.0ms (3.1%)

Memory: 18.6MiB live, 568.9MiB allocated
Compiler: Compiled 55 278 to 3 877 computations (93% saved)

prune53.0ms (0.6%)

Memory

4.0MiB live, 163.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1 920	10	1 930
Fresh	11	0	11
Picked	4	1	5
Done	1	0	1
Total	1 936	11	1 947

Accuracy

100.0%

Counts

1 947 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(/.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 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
▶	18.5%	(/.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 (fma.f64 x x #s(literal -1 binary64)) x))
▶	99.3%	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)))
	18.6%	(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.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))))
	98.5%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	97.6%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
	99.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) x) (.f64 x x)))
✓	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
▶	99.4%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))))
	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x)))
▶	13.5%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))))

Compiler

Compiled 356 to 246 computations (30.9% saved)

simplify138.0ms (1.6%)

Memory

-2.5MiB live, 191.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))
cost-diff	0	#s(approx (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))))
cost-diff	128	(.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff	128	(.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	384	(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	1344	(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))))))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(pow.f64 x #s(literal -4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	433
0	102	415
1	178	403
2	424	403
3	1145	380
4	3127	342
5	5349	326
0	8326	318

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

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

localize337.0ms (3.8%)

Memory

-20.1MiB live, 346.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))
accuracy	0.0859375	(.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	0.33054788825186665	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (* (- (/ 1 (* x x)) -1) (- (/ 2 (pow x 4)) -2)) (pow x 3)) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))))
accuracy	54.23771348068632	(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.43232947393926396	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	1.0950491038460497	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.1171875	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.44795447393926396	(/.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 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy	59.577789207878475	(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))))))
accuracy	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.09375	(.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	0.44795447393926396	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy	0.00390625	(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))
accuracy	0.015625	(.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
accuracy	0.33054788825186665	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))))

Samples

278.0ms	239×	1	valid
9.0ms	10×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 367 to 54 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

adjust: 85.0ms (34.2% of total)

ival-sub: 40.0ms (16.1% of total)

ival-add: 37.0ms (14.9% of total)

ival-mult: 34.0ms (13.7% of total)

ival-div: 32.0ms (12.9% of total)

ival-pow: 20.0ms (8% of total)

exact: 1.0ms (0.4% of total)

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

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

series107.0ms (1.2%)

Memory

-10.7MiB live, 32.5MiB allocated

Counts

23 → 276

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify177.0ms (2%)

Memory

35.1MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	2264
1	295	2243
2	850	2124
3	2851	2056
4	6885	2056
0	8556	2000

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

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 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 4))) (pow x 4))
(/ (+ 2 (* 2 (pow x 4))) (pow x 4))
(/ (+ 2 (* 2 (pow x 4))) (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
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
2
2
-1
(- x 1)
(- x 1)
(- x 1)
2
2
2
2
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
2
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(+ 2 (* x (- (* -1 x) 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 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 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 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 1 (pow x 5))
(/ (+ 1 (pow x 2)) (pow x 5))
(/ (+ 1 (pow x 2)) (pow x 5))
(/ (+ 1 (pow x 2)) (pow x 5))
(/ 1 (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow 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)
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 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 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
2
(+ 2 (* 2 (/ 1 (pow x 4))))
(+ 2 (* 2 (/ 1 (pow x 4))))
(+ 2 (* 2 (/ 1 (pow x 4))))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(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))
2
2
2
2
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)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (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))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 (pow x 6))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
(/ 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 (/ 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 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 1 (pow x 3))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(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))
(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))
(* -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 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
2
(+ 2 (* 2 (/ 1 (pow x 4))))
(+ 2 (* 2 (/ 1 (pow x 4))))
(+ 2 (* 2 (/ 1 (pow x 4))))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(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
2
2
2
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)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 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 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 (pow x 6))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
(/ 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 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 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 1 (pow x 3))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(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)))
(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)))

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 (pow.f64 x #s(literal 3 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)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 9))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 2 (* 2 (pow x 4))) (pow x 4))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 2 (* 2 (pow x 4))) (pow x 4))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 2 (* 2 (pow x 4))) (pow x 4))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 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)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #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)
-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)
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(+ 2 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 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)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
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(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
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)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
(.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite189.0ms (2.1%)

Memory

-16.7MiB live, 176.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	363
0	102	361
1	424	325
2	3602	315
0	8638	295

Stop Event

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

Counts

23 → 820

Calls

Call 1

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

Outputs
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eval152.0ms (1.7%)

Memory: 41.1MiB live, 260.5MiB allocated
Compiler: Compiled 27 648 to 3 248 computations (88.3% saved)

prune35.0ms (0.4%)

Memory

-20.5MiB live, 102.3MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 174	9	1 183
Fresh	5	0	5
Picked	5	0	5
Done	0	1	1
Total	1 184	10	1 194

Accuracy

100.0%

Counts

1 194 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
▶	99.8%	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
	99.8%	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
▶	99.3%	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
	99.2%	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
▶	98.1%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
	98.1%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
▶	97.6%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
	98.3%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
✓	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 168 to 130 computations (22.6% saved)

simplify172.0ms (1.9%)

Memory

11.6MiB live, 159.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff	-5440	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
cost-diff	-5568	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	374
0	50	331
1	96	315
2	231	315
3	539	276
4	1422	144
5	3597	144
6	7794	144
0	8152	144

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.7%)

Memory

22.3MiB live, 185.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
accuracy	0.08203125	(/.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
accuracy	0.09765625	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
accuracy	0.9349381105056338	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	1.0950491038460497	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
accuracy	0.09375	(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
accuracy	0.44795447393926396	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.11328125	(.f64 (.f64 x x) x)
accuracy	0.43232947393926396	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))
accuracy	1.0950491038460497	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
accuracy	0.08203125	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.9310318605056338	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Samples

108.0ms	245×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 348 to 30 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 33.0ms (40.1% of total)

ival-mult: 23.0ms (28% of total)

adjust: 12.0ms (14.6% of total)

ival-add: 10.0ms (12.2% of total)

ival-sub: 4.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-14.4MiB live, 23.2MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify153.0ms (1.7%)

Memory

-6.5MiB live, 155.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1735
1	245	1696
2	670	1672
3	2694	1587
4	7212	1587
0	8153	1541

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

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

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

rewrite225.0ms (2.5%)

Memory

3.1MiB live, 233.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	313
0	50	266
1	221	260
2	1732	260
0	8219	242

Stop Event

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

Counts

19 → 905

Calls

Call 1

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

Outputs
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eval158.0ms (1.8%)

Memory: 8.4MiB live, 237.4MiB allocated
Compiler: Compiled 20 207 to 2 503 computations (87.6% saved)

prune38.0ms (0.4%)

Memory

-6.6MiB live, 89.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 221	1	1 222
Fresh	0	4	4
Picked	1	4	5
Done	0	1	1
Total	1 222	10	1 232

Accuracy

100.0%

Counts

1 232 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
	99.8%	(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
✓	99.3%	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
	99.2%	(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
	98.1%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
✓	98.1%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
	98.1%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
✓	97.6%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
	98.3%	#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
✓	4.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 653 to 207 computations (68.3% saved)

regimes22.0ms (0.3%)

Memory

3.1MiB live, 39.3MiB allocated

Counts

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

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

Calls

2 calls:

12.0ms	x
8.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #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
99.3%	1	`x`
99.3%	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 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory

9.5MiB live, 9.5MiB 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) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))

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

Outputs
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.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
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

-31.0MiB live, 6.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

6.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	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 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify25.0ms (0.3%)

Memory

8.2MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	142
1	44	142
2	47	142
3	51	142

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.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
(/.f64 (/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (/.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 (11.5%)

Memory

-0.1MiB live, 678.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	287
0	76	259
1	365	232
2	3978	232
0	8783	215
0	102	449
1	268	428
2	699	407
3	2214	394
4	6907	394
0	8110	388
0	10	35
0	17	35
1	94	35
2	1095	35
0	8508	32
0	67	363
0	102	361
1	424	325
2	3602	315
0	8638	295
0	146	2066
1	386	1986
2	1050	1897
3	4172	1871
0	8499	1815
0	116	2264
1	295	2243
2	850	2124
3	2851	2056
4	6885	2056
0	8556	2000

Stop Event

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

Compiler

Compiled 233 to 134 computations (42.5% saved)

preprocess123.0ms (1.4%)

Memory: -5.8MiB live, 113.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 166 to 104 computations (37.3% 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%)

analyze4.0ms (0%)

sample2.5s (28.4%)

explain243.0ms (2.7%)

preprocess104.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize66.0ms (0.7%)

series29.0ms (0.3%)

simplify172.0ms (1.9%)

rewrite435.0ms (4.9%)

eval385.0ms (4.3%)

prune174.0ms (2%)

simplify203.0ms (2.3%)

localize481.0ms (5.4%)

series70.0ms (0.8%)

simplify181.0ms (2%)

rewrite205.0ms (2.3%)

eval274.0ms (3.1%)

prune53.0ms (0.6%)

simplify138.0ms (1.6%)

localize337.0ms (3.8%)

series107.0ms (1.2%)

simplify177.0ms (2%)

rewrite189.0ms (2.1%)

eval152.0ms (1.7%)

prune35.0ms (0.4%)

simplify172.0ms (1.9%)

localize148.0ms (1.7%)

series18.0ms (0.2%)

simplify153.0ms (1.7%)

rewrite225.0ms (2.5%)

eval158.0ms (1.8%)

prune38.0ms (0.4%)

regimes22.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

simplify25.0ms (0.3%)

soundness1.0s (11.5%)

preprocess123.0ms (1.4%)

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