Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 15 to 9 computations (40% saved)

sample1.0s (15.3%)

Memory

39.6MiB live, 1 217.0MiB allocated

Samples

256.0ms	2 370×	1	valid
254.0ms	1 573×	2	valid
214.0ms	4 313×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-div: 203.0ms (38.7% of total)

ival-sub: 123.0ms (23.5% of total)

adjust: 107.0ms (20.4% of total)

ival-add: 78.0ms (14.9% of total)

ival-true: 5.0ms (1% of total)

exact: 5.0ms (1% of total)

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

Bogosity

explain122.0ms (1.8%)

Memory

4.5MiB live, 163.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`	cancellation	133	1

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	1	122

Precision?

0.9925373134328358

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	154×	1	valid
18.0ms	104×	2	valid
13.0ms	254×	0	valid

Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 18.0ms (38% of total)

ival-add: 14.0ms (29.5% of total)

ival-sub: 8.0ms (16.9% of total)

adjust: 7.0ms (14.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess61.0ms (0.9%)

Memory

-4.9MiB live, 69.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	23	31
2	62	27
3	178	26
4	414	26
5	853	26
6	1181	26
7	1340	26
8	1418	26
9	1428	26
0	7	13
0	12	13
1	20	13
2	28	13
3	44	13
4	77	13
5	115	13
6	203	13
7	371	13
8	876	13
9	1137	13
10	1221	13
11	1231	13
0	1231	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify26.0ms (0.4%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	20	33
2	28	33
3	44	33
4	77	33
5	115	33
6	203	33
7	371	33
8	876	33
9	1137	33
10	1221	33
11	1231	33
0	1231	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

-4.7MiB live, 33.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	30.61186836384161	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

12.0ms	52×	2	valid
10.0ms	77×	1	valid
7.0ms	127×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.4% of total)

ival-sub: 4.0ms (23.6% of total)

adjust: 3.0ms (17.7% of total)

ival-add: 2.0ms (11.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify135.0ms (2.1%)

Memory

-17.2MiB live, 80.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite194.0ms (2.9%)

Memory

-16.3MiB live, 172.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28

Stop Event

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

Counts

4 → 350

Calls

Call 1

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

Outputs
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eval60.0ms (0.9%)

Memory: 23.7MiB live, 60.7MiB allocated
Compiler: Compiled 11 977 to 1 318 computations (89% saved)

prune26.0ms (0.4%)

Memory

-14.1MiB live, 70.4MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	428	16	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	428	17	445

Accuracy

100.0%

Counts

445 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
	50.7%	(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
▶	51.4%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	51.6%	(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	50.6%	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
	50.7%	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
	52.1%	(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	50.4%	(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
	47.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	52.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	53.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
	53.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	47.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
▶	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 465 to 277 computations (40.4% saved)

simplify205.0ms (3.1%)

Memory

-1.1MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	192	(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
cost-diff	5888	(neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	576	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	209
0	56	212
1	102	207
2	212	203
3	497	199
4	1158	199
5	3040	199
0	8298	199

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.8%)

Memory

-13.8MiB live, 253.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.00390625	(/.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	0.015625	(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	30.966620487715627	(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	15.45067282357338	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.08176197424254	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	33.354826990008426	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
accuracy	33.148437343169014	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.05078125	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.0546875	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
accuracy	29.83955695395005	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Samples

84.0ms	127×	0	valid
37.0ms	53×	2	valid
35.0ms	76×	1	valid

Compiler

Compiled 369 to 62 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 51.0ms (38.4% of total)

ival-add: 20.0ms (15.1% of total)

ival-div: 19.0ms (14.3% of total)

ival-pow: 19.0ms (14.3% of total)

adjust: 13.0ms (9.8% of total)

ival-sub: 7.0ms (5.3% of total)

ival-neg: 3.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series178.0ms (2.7%)

Memory

-5.1MiB live, 35.8MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (+ (* (/ x (+ (* x x) -1)) (- x 1)) (/ (+ (* -1 x) -1) (- x 1))) (+ (* -1 x) -1) (/ x (+ (* x x) -1)) (+ (* x x) -1) (neg (pow (- x 1) -1)) (+ (* (+ 1 x) (neg (pow (- x 1) -1))) (/ x (+ 1 x))) (+ 1 x) (pow (- x 1) -1) (/ (+ (* -1 x) -1) (- x 1)) (- x 1) (/ x (+ 1 x)))
2.0ms	x	@	-inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (+ (* (/ x (+ (* x x) -1)) (- x 1)) (/ (+ (* -1 x) -1) (- x 1))) (+ (* -1 x) -1) (/ x (+ (* x x) -1)) (+ (* x x) -1) (neg (pow (- x 1) -1)) (+ (* (+ 1 x) (neg (pow (- x 1) -1))) (/ x (+ 1 x))) (+ 1 x) (pow (- x 1) -1) (/ (+ (* -1 x) -1) (- x 1)) (- x 1) (/ x (+ 1 x)))
2.0ms	x	@	inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (+ (* (/ x (+ (* x x) -1)) (- x 1)) (/ (+ (* -1 x) -1) (- x 1))) (+ (* -1 x) -1) (/ x (+ (* x x) -1)) (+ (* x x) -1) (neg (pow (- x 1) -1)) (+ (* (+ 1 x) (neg (pow (- x 1) -1))) (/ x (+ 1 x))) (+ 1 x) (pow (- x 1) -1) (/ (+ (* -1 x) -1) (- x 1)) (- x 1) (/ x (+ 1 x)))

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify125.0ms (1.9%)

Memory

3.6MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1746
1	566	1677
2	1479	1615
3	5138	1589
0	8289	1513

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

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

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

rewrite199.0ms (3%)

Memory

3.1MiB live, 205.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	184
0	56	187
1	291	174
2	2913	174
0	8940	174

Stop Event

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

Counts

20 → 946

Calls

Call 1

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

Outputs
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eval199.0ms (3%)

Memory: 18.8MiB live, 284.2MiB allocated
Compiler: Compiled 31 211 to 3 506 computations (88.8% saved)

prune42.0ms (0.6%)

Memory

-4.3MiB live, 83.5MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1 331	8	1 339
Fresh	5	6	11
Picked	2	3	5
Done	0	1	1
Total	1 338	18	1 356

Accuracy

100.0%

Counts

1 356 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
	50.7%	(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
▶	51.4%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
	51.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	52.1%	(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	50.4%	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
▶	47.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) x) #s(literal 3 binary64)) x))
▶	52.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
✓	53.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
	53.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- (/ 3 x) -1) x)) #s(literal -3 binary64)) x))
▶	53.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))))
✓	47.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
▶	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
	53.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x)))
✓	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 445 to 287 computations (35.5% saved)

simplify170.0ms (2.6%)

Memory

11.8MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff	0	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
cost-diff	576	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	265
0	61	265
1	101	265
2	186	259
3	473	257
4	1331	257
5	4380	257
0	8157	257

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (2.2%)

Memory

18.8MiB live, 202.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
accuracy	0.0703125	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)
accuracy	0.125	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	30.278341835688167	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.01171875	(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
accuracy	15.45067282357338	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.08176197424254	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.0703125	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy	30.516436372743573	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	33.47983149259195	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))
accuracy	0.05078125	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))
accuracy	29.83955695395005	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))))

Samples

38.0ms	76×	1	valid
34.0ms	53×	2	valid
28.0ms	127×	0	valid

Compiler

Compiled 442 to 67 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 31.0ms (41.8% of total)

adjust: 17.0ms (22.9% of total)

ival-sub: 11.0ms (14.8% of total)

ival-add: 8.0ms (10.8% of total)

ival-mult: 7.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.9%)

Memory

-39.1MiB live, 60.5MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#s(alt (/ -3 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (patch (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/9 x) 1/3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (patch (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (patch (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (patch (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3 x) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3 x) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -3 x) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (pow x 2)) 1)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 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>) () ())) ())
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#s(alt (* -1 (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (/ 1 x)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (/ 1 x)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 (/ 1 x)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify135.0ms (2%)

Memory

30.7MiB live, 188.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1971
1	543	1859
2	1448	1716
3	4108	1683
0	8336	1611

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

Inputs
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/9 x) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
-1
(- x 1)
(- x 1)
(- x 1)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -1 (pow x 4))
(/ (- (* -3 x) 1) (pow x 4))
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4))
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4))
(/ -1 (pow x 2))
(/ (- (* -1 (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (pow x 2)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 3 (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ (+ 3 x) (pow x 2))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(/ 1 (pow x 2))
(/ (+ 1 (* 3 x)) (pow x 2))
(/ (+ 1 (* 3 x)) (pow x 2))
(/ (+ 1 (* 3 x)) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(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))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
-1
(* -1 (+ 1 (/ 1 (pow x 2))))
(* -1 (+ 1 (/ 1 (pow x 2))))
(* -1 (+ 1 (/ 1 (pow x 2))))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ 3 x)
(/ (+ 3 (/ 1 x)) x)
(/ (+ 3 (/ 1 x)) x)
(/ (+ 3 (/ 1 x)) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(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))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(* -1 (+ 1 (/ 1 (pow x 2))))
(* -1 (+ 1 (/ 1 (pow x 2))))
(* -1 (+ 1 (/ 1 (pow x 2))))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ 3 x)
(/ (+ 3 (/ 1 x)) x)
(/ (+ 3 (/ 1 x)) x)
(/ (+ 3 (/ 1 x)) x)

Outputs
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/9 x) 1/3))
(*.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/27 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/81 binary64) x #s(literal 8/27 binary64)) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
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-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(* -1 (+ 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(* -1 (+ 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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 x)
(/.f64 #s(literal -1 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
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))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* -1 (+ 1 (/ 1 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* -1 (+ 1 (/ 1 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)
(/ (+ 3 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)
(/ (+ 3 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)

rewrite257.0ms (3.9%)

Memory

-24.5MiB live, 135.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	228
0	61	228
1	301	216
2	3138	216
0	8243	216

Stop Event

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

Counts

22 → 911

Calls

Call 1

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

Outputs
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eval186.0ms (2.8%)

Memory: -2.1MiB live, 280.3MiB allocated
Compiler: Compiled 25 514 to 3 744 computations (85.3% saved)

prune80.0ms (1.2%)

Memory

17.9MiB live, 95.2MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 237	9	1 246
Fresh	7	2	9
Picked	3	2	5
Done	1	3	4
Total	1 248	16	1 264

Accuracy

100.0%

Counts

1 264 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
	51.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	50.6%	(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
	50.3%	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x 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)) (fma.f64 x x #s(literal -1 binary64))))
▶	50.4%	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
✓	47.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	28.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (neg.f64 x) x)))
	53.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- (/ -1 x) 3) #s(literal -3 binary64)) x))
▶	53.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
▶	59.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
▶	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
✓	47.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
✓	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 335 to 229 computations (31.6% saved)

simplify135.0ms (2%)

Memory

18.5MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) x))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
cost-diff	128	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	704	(-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))
cost-diff	0	#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
cost-diff	0	(*.f64 #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
cost-diff	0	(-.f64 x #s(literal -3 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
cost-diff	0	#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	338
0	64	338
1	105	338
2	186	338
3	457	338
4	1205	334
5	3887	326
6	7372	326
0	8135	314

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1/9 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))
#s(literal 1 binary64)
#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))
(fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))
#s(literal -1/3 binary64)
x
(+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))
(/.f64 #s(literal 8/27 binary64) x)
#s(literal 8/27 binary64)
#s(literal 1/9 binary64)
(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

localize174.0ms (2.6%)

Memory

-18.9MiB live, 214.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
accuracy	15.455922106772778	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	31.307080900354677	(-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))
accuracy	0.3359375	(/.f64 #s(literal 8/27 binary64) x)
accuracy	29.83955695395005	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
accuracy	30.02931836367852	#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x)))
accuracy	0.29296875	(*.f64 #s(literal -1/3 binary64) x)
accuracy	29.16322419193921	#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))
accuracy	29.83955695395005	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
accuracy	0	(-.f64 x #s(literal -3 binary64))
accuracy	0.00390625	(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
accuracy	33.08886065086684	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
accuracy	0.15234375	(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
accuracy	29.73834180477247	#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
accuracy	29.83955695395005	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))

Samples

54.0ms	73×	1	valid
44.0ms	58×	2	valid
44.0ms	125×	0	valid

Compiler

Compiled 427 to 70 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 27.0ms (24.1% of total)

const: 26.0ms (23.2% of total)

ival-sub: 17.0ms (15.2% of total)

ival-div: 17.0ms (15.2% of total)

adjust: 15.0ms (13.4% of total)

ival-add: 9.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

-8.0MiB live, 33.2MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -3 binary64)) (patch (-.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/3 binary64) x) (patch (.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) (patch (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 8/27 binary64) x) (patch (/.f64 #s(literal 8/27 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -3 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/9 x) 1/3)) (taylor 0 x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3)) (taylor 0 x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3)) (taylor 0 x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1/3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1/3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1/3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 x #s(literal -3 binary64)) (patch (-.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -3 binary64)) (patch (-.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -3 binary64)) (patch (-.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -3 binary64)) (patch (-.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (.f64 #s(literal -1/3 binary64) x)))) #<representation binary64>) () ())) ())
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#s(alt (/ -3 x) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) (taylor -inf x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x))))) (taylor -inf x) (#s(alt #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) (patch #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) (patch (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) (patch (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) (patch (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) (patch (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1)) (taylor -inf x) (#s(alt (.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 8/27 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/27 binary64) x) (patch (/.f64 #s(literal 8/27 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 8/27 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/27 binary64) x) (patch (/.f64 #s(literal 8/27 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 8/27 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/27 binary64) x) (patch (/.f64 #s(literal 8/27 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 8/27 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 8/27 binary64) x) (patch (/.f64 #s(literal 8/27 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+ (* -1/3 x) 1/9) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (- x -3) x) 1) (- x -3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (* -1/3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+ (* -1/3 x) (+ (/ 8/27 x) 1/9)) (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (* (+ x 1) (- -1 x)) (* x (- 1 x)) (/ 8/27 x))

2.0ms

-inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+ (* -1/3 x) 1/9) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (- x -3) x) 1) (- x -3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (* -1/3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+ (* -1/3 x) (+ (/ 8/27 x) 1/9)) (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (* (+ x 1) (- -1 x)) (* x (- 1 x)) (/ 8/27 x))

2.0ms

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+ (* -1/3 x) 1/9) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (- x -3) x) 1) (- x -3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (* -1/3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 (/ x (- -3 (/ (- (/ 3 x) -1) x)))) (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+ (* -1/3 x) (+ (/ 8/27 x) 1/9)) (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (* (+ x 1) (- -1 x)) (* x (- 1 x)) (/ 8/27 x))

simplify178.0ms (2.7%)

Memory

-1.6MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1808
1	403	1771
2	1100	1684
3	3209	1576
4	7342	1576
0	8130	1481

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/9 x) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* -1/3 x))
(+ 1/9 (* -1/3 x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
3
(+ 3 x)
(+ 3 x)
(+ 3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/9 x) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/9 x) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(/ 8/27 x)
(/ (+ 8/27 (* 1/9 x)) x)
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x)
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x)
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(- (* x (- (* -1 x) 2)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(/ 8/27 x)
(/ 8/27 x)
(/ 8/27 x)
(/ 8/27 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(/ 8/27 x)
(/ 8/27 x)
(/ 8/27 x)
(/ 8/27 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(/ 8/27 x)
(/ 8/27 x)
(/ 8/27 x)
(/ 8/27 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/9 x) 1/3))
(*.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/27 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/81 binary64) x #s(literal 8/27 binary64)) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(-.f64 x #s(literal -3 binary64))
(+ 3 x)
(-.f64 x #s(literal -3 binary64))
(+ 3 x)
(-.f64 x #s(literal -3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/9 x) 1/3))
(*.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/27 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/81 binary64) x #s(literal 8/27 binary64)) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/9 x) 1/3))
(*.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* 8/27 x))) 1/3))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/27 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* x (+ 1/9 (* x (+ 8/27 (* -17/81 x))))) 1/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/81 binary64) x #s(literal 8/27 binary64)) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ (+ 8/27 (* 1/9 x)) x)
(/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 8/27 binary64)) x)
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 8/27 binary64)) x)
(/ (+ 8/27 (* x (+ 1/9 (* -1/3 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 8/27 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -1 x) 2)) 1)
(fma.f64 (-.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* -1 x) 2)) 1)
(fma.f64 (-.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17/81 binary64) x) #s(literal 8/27 binary64)) x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -3 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(-.f64 x #s(literal -3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(-.f64 x #s(literal -3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(-.f64 x #s(literal -3 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17/81 binary64) x) #s(literal 8/27 binary64)) x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 17/81 (/ 1 (pow x 3))))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17/81 binary64) x) #s(literal 8/27 binary64)) x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* 3 x)
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(* x (+ 3 (/ 1 x)))
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(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(fma.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(fma.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x (*.f64 (neg.f64 x) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ -3 x)
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(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17/81 binary64) x) #s(literal 8/27 binary64)) x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -3 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(-.f64 x #s(literal -3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(-.f64 x #s(literal -3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(-.f64 x #s(literal -3 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17/81 binary64) x) #s(literal 8/27 binary64)) x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 17/81 (/ 1 x)) 8/27) x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17/81 binary64) x) #s(literal 8/27 binary64)) x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(fma.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(fma.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x (*.f64 (neg.f64 x) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)
(/ 8/27 x)
(/.f64 #s(literal 8/27 binary64) x)

rewrite312.0ms (4.7%)

Memory

7.5MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	298
0	64	298
1	312	298
2	2789	294
0	8777	292

Stop Event

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

Counts

20 → 360

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal -3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x)))
#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))
#s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))
(fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))
(-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 8/27 binary64) x)

Outputs
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eval72.0ms (1.1%)

Memory: 31.5MiB live, 114.3MiB allocated
Compiler: Compiled 12 183 to 1 610 computations (86.8% saved)

prune25.0ms (0.4%)

Memory

-31.5MiB live, 44.2MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	594	3	597
Fresh	3	3	6
Picked	2	3	5
Done	2	3	5
Total	601	12	613

Accuracy

100.0%

Counts

613 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
	50.6%	(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
	75.9%	(/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
	53.0%	#s(approx (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (/.f64 #s(literal -3 binary64) x))
✓	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
✓	47.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
✓	59.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
	59.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
✓	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
✓	47.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
✓	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 604 to 232 computations (61.6% saved)

regimes21.0ms (0.3%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- (/ 3 x) -1) x)) #s(literal -3 binary64)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- (/ -1 x) 3) #s(literal -3 binary64)) x))
#s(approx (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) x) #s(literal 3 binary64)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x 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)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

10.0ms	x
9.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.6%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- (/ 3 x) -1) x)) #s(literal -3 binary64)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- (/ -1 x) 3) #s(literal -3 binary64)) x))
#s(approx (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes7.0ms (0.1%)

Memory

-28.6MiB live, 10.2MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- (/ 3 x) -1) x)) #s(literal -3 binary64)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- (/ -1 x) 3) #s(literal -3 binary64)) x))
#s(approx (/ (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (- 1 (* x x))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (*.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64))))))

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes5.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes6.0ms (0.1%)

Memory

-36.4MiB live, 8.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
98.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`x`
48.3%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total -0.8b remaining (-2.3%)

Threshold costs -0.8b (-2.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.2%	1	`x`
48.2%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.79967077193777e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.79967077193777e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.79967077193777e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.79967077193777e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.79967077193777e-9	0.9999813124445044

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.79967077193777e-9	0.9999813124445044

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.79967077193777e-9	0.9999813124445044

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.79967077193777e-9	0.9999813124445044

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify31.0ms (0.5%)

Memory

2.3MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	546
1	106	546
2	138	546
3	174	546
4	204	546
5	211	546
6	215	546

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal 1/9 binary64)))))) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 8/27 binary64) x)))))) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* x (- 1 x)) (* (+ x 1) (- -1 x))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- -3 (/ (- (/ 3 x) -1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness1.7s (25.3%)

Memory

-8.2MiB live, 877.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1808
1	403	1771
2	1100	1684
3	3209	1576
4	7342	1576
0	8130	1481
0	36	228
0	61	228
1	301	216
2	3138	216
0	8243	216
0	201	1971
1	543	1859
2	1448	1716
3	4108	1683
0	8336	1611
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279
0	32	184
0	56	187
1	291	174
2	2913	174
0	8940	174

Stop Event

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

Compiler

Compiled 622 to 253 computations (59.3% saved)

preprocess70.0ms (1.1%)

Memory: -6.4MiB live, 110.7MiB allocated
Compiler: Compiled 606 to 146 computations (75.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.0s (15.3%)

explain122.0ms (1.8%)

preprocess61.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.4%)

localize35.0ms (0.5%)

series3.0ms (0%)

simplify135.0ms (2.1%)

rewrite194.0ms (2.9%)

eval60.0ms (0.9%)

prune26.0ms (0.4%)

simplify205.0ms (3.1%)

localize183.0ms (2.8%)

series178.0ms (2.7%)

simplify125.0ms (1.9%)

rewrite199.0ms (3%)

eval199.0ms (3%)

prune42.0ms (0.6%)

simplify170.0ms (2.6%)

localize142.0ms (2.2%)

series62.0ms (0.9%)

simplify135.0ms (2%)

rewrite257.0ms (3.9%)

eval186.0ms (2.8%)

prune80.0ms (1.2%)

simplify135.0ms (2%)

localize174.0ms (2.6%)

series22.0ms (0.3%)

simplify178.0ms (2.7%)

rewrite312.0ms (4.7%)

eval72.0ms (1.1%)

prune25.0ms (0.4%)

regimes21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.5%)

soundness1.7s (25.3%)

preprocess70.0ms (1.1%)

end0.0ms (0%)

Profiling