Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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)

sample1.2s (19.7%)

Memory

28.7MiB live, 1 440.2MiB allocated

Samples

336.0ms	1 548×	2	valid
324.0ms	2 493×	1	valid
246.0ms	4 215×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-div: 238.0ms (37.4% of total)

ival-sub: 159.0ms (25% of total)

adjust: 135.0ms (21.2% of total)

ival-add: 90.0ms (14.1% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain113.0ms (1.8%)

Memory

44.2MiB live, 153.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
113	-	-	`(-.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	113	0

Confusion

	Predicted +	Predicted -
+	113	0
-	0	143

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	0	0	143

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	143
1	113

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms	128×	1	valid
18.0ms	290×	0	valid
17.0ms	94×	2	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 12.0ms (34.9% of total)

ival-sub: 11.0ms (32% of total)

adjust: 6.0ms (17.4% of total)

ival-add: 5.0ms (14.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess93.0ms (1.5%)

Memory

-30.6MiB live, 66.5MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.1%	(-.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)

simplify31.0ms (0.5%)

Memory

-12.8MiB live, 23.1MiB 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))

localize34.0ms (0.5%)

Memory

10.8MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	26.17426299639817	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

10.0ms	47×	2	valid
9.0ms	64×	1	valid
8.0ms	145×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 6.0ms (32.6% of total)

adjust: 4.0ms (21.8% of total)

ival-add: 4.0ms (21.8% of total)

ival-sub: 4.0ms (21.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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)))
1.0ms	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)))

1.0ms

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

simplify124.0ms (2%)

Memory

-0.6MiB live, 120.5MiB 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))

rewrite184.0ms (2.9%)

Memory

4.9MiB live, 277.5MiB 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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eval55.0ms (0.9%)

Memory: 9.9MiB live, 85.4MiB allocated
Compiler: Compiled 11 977 to 1 318 computations (89% saved)

prune21.0ms (0.3%)

Memory

-18.3MiB live, 39.0MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	433	11	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	433	12	445

Accuracy

100.0%

Counts

445 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(/.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)))
	57.0%	(/.f64 (-.f64 (.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
▶	59.4%	(/.f64 (-.f64 (.f64 x (/.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) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
	57.8%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
✓	59.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	54.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
	54.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	44.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	46.1%	#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)) x))
	46.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	54.5%	#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))))
▶	54.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 287 to 177 computations (38.3% saved)

simplify232.0ms (3.7%)

Memory

12.3MiB live, 237.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	228
0	51	220
1	100	220
2	231	212
3	632	208
4	2179	208
5	7664	208
0	8668	207

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.7%)

Memory

2.4MiB live, 126.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
accuracy	0.08984375	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy	34.512396597987085	#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))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	0.0703125	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	29.130692917525288	#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	0	(fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 3 binary64))
accuracy	28.97598246446618	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
accuracy	29.256064498276277	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.0234375	(/.f64 (-.f64 (.f64 x (/.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) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
accuracy	0.0234375	(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0390625	(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy	26.36127052275812	(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))

Samples

29.0ms	47×	2	valid
29.0ms	145×	0	valid
28.0ms	64×	1	valid

Compiler

Compiled 204 to 31 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 16.0ms (26.5% of total)

ival-mult: 13.0ms (21.5% of total)

ival-add: 11.0ms (18.2% of total)

adjust: 11.0ms (18.2% of total)

ival-sub: 9.0ms (14.9% of total)

exact: 1.0ms (1.7% of total)

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

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

series17.0ms (0.3%)

Memory

-1.0MiB live, 36.9MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (+ 1 x) (/ (- x 1) (+ 1 x))) (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* x (/ (- x 1) (+ 1 x))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (/ (- x 1) (+ 1 x)) (- (/ 3 x) -1))
2.0ms	x	@	inf	((* (+ 1 x) (/ (- x 1) (+ 1 x))) (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* x (/ (- x 1) (+ 1 x))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (/ (- x 1) (+ 1 x)) (- (/ 3 x) -1))
2.0ms	x	@	0	((* (+ 1 x) (/ (- x 1) (+ 1 x))) (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* x (/ (- x 1) (+ 1 x))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (/ (- x 1) (+ 1 x)) (- (/ 3 x) -1))

Time

Variable

Point

Expression

5.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify197.0ms (3.1%)

Memory

11.6MiB live, 126.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	1519
1	438	1443
2	1222	1383
3	4371	1375
0	8277	1288

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

rewrite283.0ms (4.5%)

Memory

-16.5MiB live, 197.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	206
0	51	206
1	267	186
2	2652	186
0	8673	185

Stop Event

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

Counts

18 → 774

Calls

Call 1

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

Outputs
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eval200.0ms (3.2%)

Memory: 8.6MiB live, 161.2MiB allocated
Compiler: Compiled 27 532 to 3 312 computations (88% saved)

prune80.0ms (1.3%)

Memory

-16.8MiB live, 72.4MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 065	9	1 074
Fresh	5	1	6
Picked	1	4	5
Done	0	1	1
Total	1 071	15	1 086

Accuracy

100.0%

Counts

1 086 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(/.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)))
▶	59.9%	(/.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
✓	59.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	54.1%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	44.9%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
	46.1%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
▶	54.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
	54.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	54.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	46.1%	#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)) x))
	45.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- (/ 3 x) -1) x)) (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x)) x)) x))
	54.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
✓	54.5%	#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))))
	45.9%	#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)))
✓	54.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 286 to 191 computations (33.2% saved)

simplify232.0ms (3.7%)

Memory

4.6MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.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)))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	896	(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))
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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	384	(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	384	(-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
cost-diff	704	(/.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	241
0	62	233
1	132	223
2	293	215
3	881	201
4	3314	176
0	8362	169

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (2.5%)

Memory

-3.7MiB live, 195.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	14.264433041548719	(/.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)))
accuracy	26.469049123701588	(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))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.08984375	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy	35.228137235564624	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	7.554625574906175	(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	29.130692917525288	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	29.359367017089365	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	0.0078125	(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.01171875	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy	26.36127052275812	(-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x)

Samples

48.0ms	56×	1	valid
40.0ms	56×	2	valid
35.0ms	144×	0	valid

Compiler

Compiled 232 to 37 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 18.0ms (23.4% of total)

ival-mult: 18.0ms (23.4% of total)

adjust: 16.0ms (20.8% of total)

ival-add: 15.0ms (19.5% of total)

ival-sub: 8.0ms (10.4% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-11.9MiB live, 25.0MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify146.0ms (2.3%)

Memory

5.0MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1489
1	460	1375
2	1218	1337
3	4222	1307
0	8276	1221

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

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

rewrite160.0ms (2.5%)

Memory

14.9MiB live, 210.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	213
0	62	205
1	343	172
2	3515	172
0	9070	172

Stop Event

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

Counts

19 → 988

Calls

Call 1

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

Outputs
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eval208.0ms (3.3%)

Memory: 5.3MiB live, 403.7MiB allocated
Compiler: Compiled 31 012 to 2 877 computations (90.7% saved)

prune37.0ms (0.6%)

Memory

1.0MiB live, 124.5MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 258	6	1 264
Fresh	5	0	5
Picked	3	2	5
Done	0	5	5
Total	1 266	13	1 279

Accuracy

100.0%

Counts

1 279 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(/.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
▶	53.8%	(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
▶	77.7%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	23.8%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
✓	59.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	46.1%	#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
✓	54.1%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
	44.7%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
✓	54.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
▶	54.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓	46.1%	#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)) x))
✓	54.5%	#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))))
✓	54.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 167 to 125 computations (25.1% saved)

simplify130.0ms (2.1%)

Memory

22.6MiB live, 181.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
cost-diff	64	(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	223
0	50	219
1	93	215
2	189	215
3	427	215
4	1285	179
5	3424	179
6	5631	175
0	8106	171

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (2%)

Memory

-18.2MiB live, 230.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	14.264433041548719	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	34.54488456273205	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64))
accuracy	0.08203125	(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x)
accuracy	29.130692917525288	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0234375	(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	29.57150938347258	#s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64))
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	34.4775099010436	#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	14.264433041548719	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

Samples

47.0ms	56×	2	valid
30.0ms	144×	0	valid
28.0ms	56×	1	valid

Compiler

Compiled 199 to 33 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 33.0ms (39.3% of total)

ival-add: 18.0ms (21.4% of total)

ival-div: 15.0ms (17.8% of total)

adjust: 12.0ms (14.3% of total)

ival-sub: 5.0ms (5.9% of total)

exact: 1.0ms (1.2% of total)

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

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

series12.0ms (0.2%)

Memory

-18.6MiB live, 20.3MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify172.0ms (2.7%)

Memory

5.4MiB live, 243.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1218
1	323	1174
2	865	1116
3	3456	1112
4	7970	1112
0	8080	1013

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

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

rewrite272.0ms (4.3%)

Memory

6.5MiB live, 236.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	205
0	50	201
1	266	189
2	2797	189
0	8773	182

Stop Event

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

Counts

16 → 341

Calls

Call 1

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

Outputs
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eval91.0ms (1.5%)

Memory: 3.1MiB live, 145.2MiB allocated
Compiler: Compiled 9 285 to 1 320 computations (85.8% saved)

prune29.0ms (0.5%)

Memory

-1.9MiB live, 79.6MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	604	5	609
Fresh	0	1	1
Picked	0	5	5
Done	3	4	7
Total	607	15	622

Accuracy

100.0%

Counts

622 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
✓	53.8%	(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	77.7%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
	77.7%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))
	22.7%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
✓	23.8%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
	45.8%	#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	46.1%	#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
	45.9%	#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	54.1%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
	44.7%	#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
✓	54.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	54.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓	54.5%	#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))))
✓	54.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 479 to 209 computations (56.4% saved)

regimes20.0ms (0.3%)

Memory

-15.2MiB live, 22.3MiB allocated

Counts

32 → 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.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)) x))
(/.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (-.f64 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)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- (/ 3 x) -1) x)) (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x)) x)) 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)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x (/.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) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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)

regimes13.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

23 → 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 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) x) #s(literal 3 binary64)) x))

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

Calls

2 calls:

7.0ms	x
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
100.0%	3	`x`
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 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

-30.1MiB live, 9.0MiB allocated

Counts

17 → 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))

Outputs

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

(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #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
99.3%	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)

regimes9.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #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))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #s(literal 1 binary64)))

Calls

2 calls:

5.0ms	x
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
98.1%	3	`x`
98.0%	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)

regimes7.0ms (0.1%)

Memory

-22.1MiB live, 14.6MiB allocated

Counts

11 → 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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))))

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:

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
98.0%	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

16.0MiB live, 16.0MiB 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (- (+ (* (/ x (+ x 1)) (- x 1)) -1) x) (- x 1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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))) (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
97.8%	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

8.8MiB live, 8.8MiB 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #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
54.7%	1	`x`
54.7%	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)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.7b remaining (-2.3%)

Threshold costs -0.7b (-2.3%)

Counts

3 → 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #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
54.3%	1	`x`
54.3%	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)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.106226635438361e-15

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	6.106226635438361e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.41796328486701084	0.7670293955810097

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	0.41796328486701084	0.7670293955810097

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	0.41796328486701084	0.7670293955810097

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify29.0ms (0.5%)

Memory

-6.1MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	349
1	65	349
2	78	349
3	99	349
4	112	349
5	117	349
6	119	349

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #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 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 (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #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 1/2 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 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #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 1/2 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 1/2 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
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #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 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 (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 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 (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #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 1/2 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 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #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 1/2 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 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) #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 1/2 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 1/2 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 #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #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 1/2 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 1/2 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))

soundness1.3s (20.9%)

Memory

0.6MiB live, 708.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	206
0	51	206
1	267	186
2	2652	186
0	8673	185
0	155	1489
1	460	1375
2	1218	1337
3	4222	1307
0	8276	1221
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279
0	36	205
0	50	201
1	266	189
2	2797	189
0	8773	182
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	37	213
0	62	205
1	343	172
2	3515	172
0	9070	172

Stop Event

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

Compiler

Compiled 336 to 149 computations (55.7% saved)

preprocess61.0ms (1%)

Memory: 8.8MiB live, 89.8MiB allocated
Compiler: Compiled 374 to 98 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (19.7%)

explain113.0ms (1.8%)

preprocess93.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.5%)

localize34.0ms (0.5%)

series3.0ms (0.1%)

simplify124.0ms (2%)

rewrite184.0ms (2.9%)

eval55.0ms (0.9%)

prune21.0ms (0.3%)

simplify232.0ms (3.7%)

localize109.0ms (1.7%)

series17.0ms (0.3%)

simplify197.0ms (3.1%)

rewrite283.0ms (4.5%)

eval200.0ms (3.2%)

prune80.0ms (1.3%)

simplify232.0ms (3.7%)

localize158.0ms (2.5%)

series16.0ms (0.3%)

simplify146.0ms (2.3%)

rewrite160.0ms (2.5%)

eval208.0ms (3.3%)

prune37.0ms (0.6%)

simplify130.0ms (2.1%)

localize125.0ms (2%)

series12.0ms (0.2%)

simplify172.0ms (2.7%)

rewrite272.0ms (4.3%)

eval91.0ms (1.5%)

prune29.0ms (0.5%)

regimes20.0ms (0.3%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify29.0ms (0.5%)

soundness1.3s (20.9%)

preprocess61.0ms (1%)

end0.0ms (0%)

Profiling