Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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)

sample865.0ms (19%)

Memory

346.6MiB live, 346.6MiB allocated

Samples

226.0ms	2 443×	1	valid
221.0ms	1 557×	2	valid
179.0ms	4 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-div: 176.0ms (38% of total)

ival-sub: 108.0ms (23.3% of total)

adjust: 94.0ms (20.3% of total)

ival-add: 71.0ms (15.3% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

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

Bogosity

explain139.0ms (3%)

Memory

71.0MiB live, 71.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(-.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	123	0

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	0	0	133

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

16.0ms	102×	2	valid
15.0ms	142×	1	valid
13.0ms	268×	0	valid

Compiler

Compiled 182 to 78 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 11.0ms (37.4% of total)

ival-sub: 7.0ms (23.8% of total)

adjust: 6.0ms (20.4% of total)

ival-add: 4.0ms (13.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess51.0ms (1.1%)

Memory

7.2MiB live, 7.2MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(-.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)

simplify24.0ms (0.5%)

Memory

2.4MiB live, 2.4MiB 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))

localize28.0ms (0.6%)

Memory

12.0MiB live, 12.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.00390625	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	28.539583918744224	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

8.0ms	51×	2	valid
7.0ms	71×	1	valid
6.0ms	134×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (34.8% of total)

adjust: 3.0ms (20.9% of total)

ival-sub: 3.0ms (20.9% of total)

ival-add: 2.0ms (13.9% 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

1.4MiB live, 1.4MiB 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)))
0.0ms	x	@	0	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify99.0ms (2.2%)

Memory

25.1MiB live, 25.1MiB 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))

rewrite114.0ms (2.5%)

Memory

53.4MiB live, 53.4MiB 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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eval44.0ms (1%)

Memory: 41.3MiB live, 41.3MiB allocated
Compiler: Compiled 11 977 to 1 318 computations (89% saved)

prune13.0ms (0.3%)

Memory

24.2MiB live, 24.2MiB 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
▶	53.7%	(/.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)))
▶	55.5%	(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	53.7%	(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
	53.2%	(/.f64 (-.f64 (.f64 x (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
✓	55.4%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
	52.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	48.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
	49.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	52.1%	#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))))
	48.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
▶	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 327 to 187 computations (42.8% saved)

simplify112.0ms (2.4%)

Memory

33.0MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	(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	(fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
cost-diff	128	(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
cost-diff	1088	(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
cost-diff	1408	(*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	218
0	52	226
1	108	208
2	266	208
3	789	193
4	2985	165
0	8300	159

Stop Event

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

Calls

Call 1

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

localize125.0ms (2.7%)

Memory

44.5MiB live, 44.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.01953125	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	15.225715534150389	(/.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	29.123312611075203	(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	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	0.06640625	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	30.646892998482354	#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	30.340987589282175	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
accuracy	30.3022352856337	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
accuracy	0.02734375	(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
accuracy	29.175803249425407	(fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))

Samples

38.0ms	60×	2	valid
30.0ms	63×	1	valid
30.0ms	133×	0	valid

Compiler

Compiled 394 to 57 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 20.0ms (27.6% of total)

ival-add: 18.0ms (24.8% of total)

ival-div: 14.0ms (19.3% of total)

adjust: 12.0ms (16.5% of total)

ival-sub: 5.0ms (6.9% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series15.0ms (0.3%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.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 (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)) (+.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 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 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (patch (/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 x)) (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 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 (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
3.0ms	x	@	inf	((* (+ 1 x) (neg (/ (- x 1) (+ 1 x)))) (/ (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (* (+ 1 x) (neg (/ (- x 1) (+ 1 x))))) (neg (/ (- x 1) (+ 1 x))) (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 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) (+ (* (+ (* -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) (+ 1 x)) (* (- x 1) x))
3.0ms	x	@	-inf	((* (+ 1 x) (neg (/ (- x 1) (+ 1 x)))) (/ (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (* (+ 1 x) (neg (/ (- x 1) (+ 1 x))))) (neg (/ (- x 1) (+ 1 x))) (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 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) (+ (* (+ (* -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) (+ 1 x)) (* (- x 1) x))
2.0ms	x	@	0	((* (+ 1 x) (neg (/ (- x 1) (+ 1 x)))) (/ (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 1 x)) (* (+ 1 x) (neg (/ (- x 1) (+ 1 x))))) (neg (/ (- x 1) (+ 1 x))) (+ (* x (neg (/ (- x 1) (+ 1 x)))) (+ 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) (+ (* (+ (* -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) (+ 1 x)) (* (- x 1) x))

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify153.0ms (3.3%)

Memory

43.0MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1361
1	417	1280
2	1125	1225
3	3664	1225
4	7870	1225
0	8295	1139

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 212

Calls

Call 1

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

rewrite150.0ms (3.3%)

Memory

56.0MiB live, 56.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	193
0	52	193
1	270	164
2	2839	164
0	8619	162

Stop Event

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

Counts

18 → 789

Calls

Call 1

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

Outputs
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eval180.0ms (3.9%)

Memory: 118.2MiB live, 118.2MiB allocated
Compiler: Compiled 35 282 to 3 572 computations (89.9% saved)

prune45.0ms (1%)

Memory

52.2MiB live, 52.2MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 304	5	1 309
Fresh	6	0	6
Picked	2	3	5
Done	1	0	1
Total	1 313	8	1 321

Accuracy

100.0%

Counts

1 321 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(/.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)))
▶	25.8%	(/.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)))
▶	52.0%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	48.5%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	49.4%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
✓	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	52.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 91 to 76 computations (16.5% saved)

simplify167.0ms (3.7%)

Memory

45.0MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
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	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
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)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
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: 4 (0.0ms)

Iter	Nodes	Cost
0	30	216
0	41	209
1	70	202
2	125	202
3	252	202
4	810	139
5	2566	139
6	7492	139
0	8081	139

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

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

localize83.0ms (1.8%)

Memory

29.8MiB live, 29.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.0703125	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy	32.9783213240938	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.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	15.225715534150389	(/.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	32.32307655130041	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	32.41324302683351	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	30.69941115094729	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
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	15.225715534150389	(/.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

34.0ms	107×	1	valid
23.0ms	133×	0	valid
7.0ms	16×	2	valid

Compiler

Compiled 288 to 45 computations (84.4% saved)

Precisions

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

ival-mult: 13.0ms (30.4% of total)

ival-add: 11.0ms (25.7% of total)

ival-div: 8.0ms (18.7% of total)

adjust: 7.0ms (16.4% of total)

ival-sub: 3.0ms (7% of total)

exact: 1.0ms (2.3% of total)

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

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

series12.0ms (0.3%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

15 → 180

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

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

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

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

2.0ms

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

simplify113.0ms (2.5%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	1078
1	153	992
2	369	972
3	972	972
4	2668	972
5	6378	972
0	8059	897

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

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)))
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)))
(/ -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)
(- (* -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)
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)
(/ -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 (* 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 #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 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)
(/ -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 #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 (* 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 #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 (/ (+ 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 (* 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 #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 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)
(/ -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 #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 (* 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 #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)

rewrite135.0ms (3%)

Memory

47.5MiB live, 47.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	198
0	41	191
1	194	184
2	1560	184
0	8266	170

Stop Event

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

Counts

15 → 382

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

Outputs
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eval81.0ms (1.8%)

Memory: 54.1MiB live, 54.1MiB allocated
Compiler: Compiled 9 634 to 1 419 computations (85.3% saved)

prune29.0ms (0.6%)

Memory

28.4MiB live, 28.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	636	3	639
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	637	10	647

Accuracy

100.0%

Counts

647 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(/.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)))
▶	24.7%	(/.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)))
▶	76.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
✓	52.0%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	48.5%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	49.1%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	49.4%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
✓	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	52.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 74 to 62 computations (16.2% saved)

simplify135.0ms (3%)

Memory

34.5MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* x x) -1) (*.f64 x x))
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))) #s(approx (+ (* x x) -1) (*.f64 x x)))
cost-diff	0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (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)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	188
0	40	182
1	69	172
2	125	170
3	265	170
4	892	116
5	2796	116
6	7309	116
0	8382	116

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.8%)

Memory

29.0MiB live, 29.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	15.225715534150389	(/.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)))
accuracy	32.390820385371626	#s(approx (+ (* x x) -1) (*.f64 x x))
accuracy	0	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
accuracy	15.238585991494135	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
accuracy	0.3203125	(*.f64 x #s(literal -1/3 binary64))
accuracy	32.41324302683351	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))

Samples

33.0ms	105×	1	valid
25.0ms	135×	0	valid
7.0ms	16×	2	valid

Compiler

Compiled 244 to 43 computations (82.4% saved)

Precisions

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

ival-mult: 15.0ms (31.7% of total)

ival-add: 11.0ms (23.3% of total)

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

adjust: 6.0ms (12.7% of total)

const: 4.0ms (8.5% of total)

ival-sub: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series10.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

13 → 156

Calls

Call 1

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

Outputs
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64)))) (patch #s(approx (/ (+ ( (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64)))) (patch #s(approx (/ (+ ( (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64)))) (patch #s(approx (/ (+ ( (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/3 binary64)))) (patch #s(approx (/ (+ ( (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/3 binary64)) (patch (.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/3 binary64)) (patch (.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/3 binary64)) (patch (.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/3 binary64)) (patch (.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 8 x) 3))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 8 (* -24 x))) 3))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #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 (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #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 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #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 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #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 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#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))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<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))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<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))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<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))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<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 #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #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(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) x))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor -inf 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))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf 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))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<representation binary64>) () ())) ())
#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)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<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)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (.f64 x x))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf 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 (* x (+ 3 (/ 1 x)))) (taylor -inf 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 (* x (+ 3 (/ 1 x)))) (taylor -inf 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 (* x (+ 3 (/ 1 x)))) (taylor -inf 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) (taylor -inf 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 (* x (+ 3 (/ 1 x)))) (taylor -inf 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 (* x (+ 3 (/ 1 x)))) (taylor -inf 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 (* x (+ 3 (/ 1 x)))) (taylor -inf 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 (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1) (.f64 x x)) (patch #s(approx (+ ( x x) -1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify112.0ms (2.5%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	856
1	284	844
2	755	808
3	2070	796
4	4569	796
5	7867	796
0	8276	718

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
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)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
1
(+ 1 (* -3 x))
(+ 1 (* x (- (* 8 x) 3)))
(+ 1 (* x (- (* x (+ 8 (* -24 x))) 3)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
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
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 8/81 (/ 1 (pow 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)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* 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 (* 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 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(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))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) 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)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* 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 (* 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 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(/ -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 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) 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 x #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 8 x) 3)))
(fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 8 (* -24 x))) 3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -24 binary64) x #s(literal 8 binary64)) x #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)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #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 #s(literal 3 binary64) x) 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)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #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)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (/ 8/27 (pow x 2)) (* 1/9 (/ 1 x))) (+ 1/3 (* 8/81 (/ 1 (pow x 3))))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/81 binary64) x) #s(literal 8/27 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))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #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 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* 8/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal 8/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- (* 8/81 (/ 1 x)) 8/27) x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/81 binary64) x) #s(literal 8/27 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))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #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 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite116.0ms (2.5%)

Memory

41.9MiB live, 41.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	40	172
1	181	160
2	1265	142
0	9475	136

Stop Event

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

Counts

13 → 570

Calls

Call 1

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

Outputs
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eval97.0ms (2.1%)

Memory: 64.6MiB live, 64.6MiB allocated
Compiler: Compiled 15 019 to 2 126 computations (85.8% saved)

prune29.0ms (0.6%)

Memory

32.1MiB live, 32.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	725	1	726
Fresh	0	0	0
Picked	2	1	3
Done	1	6	7
Total	728	8	736

Accuracy

100.0%

Counts

736 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(/.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)))
	56.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
✓	52.0%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	49.4%	#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
✓	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	52.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	52.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 292 to 129 computations (55.8% saved)

regimes14.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

21 → 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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* 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))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 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)))
(/.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 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 x (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))

Outputs

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

(/.f64 #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
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
100.0%	3	`x`
99.8%	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 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

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
99.7%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes5.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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:

4.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB 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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* 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))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 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)))

Outputs

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

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

Calls

1 calls:

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
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)

regimes3.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

8 → 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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* 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:

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

7 → 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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* 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
99.1%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

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 (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (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))) #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
52.7%	1	`x`
52.7%	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)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.079581282847357e-13

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.079581282847357e-13

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.079581282847357e-13

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005723647116510078	0.9991128223983602

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005723647116510078	0.9991128223983602

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005723647116510078	0.9991128223983602

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify32.0ms (0.7%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	381
1	79	381
2	96	381
3	121	381
4	135	381
5	140	381
6	142	381

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #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 (-.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 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))) (/.f64 #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 (-.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 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) -1) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x #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 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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))) #s(literal 1 binary64))

soundness1.1s (23.3%)

Memory

11.1MiB live, 11.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1361
1	417	1280
2	1125	1225
3	3664	1225
4	7870	1225
0	8295	1139
0	102	856
1	284	844
2	755	808
3	2070	796
4	4569	796
5	7867	796
0	8276	718
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279
0	30	198
0	41	191
1	194	184
2	1560	184
0	8266	170

Stop Event

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

Compiler

Compiled 355 to 153 computations (56.9% saved)

preprocess57.0ms (1.2%)

Memory: 37.5MiB live, 37.5MiB allocated
Compiler: Compiled 422 to 114 computations (73% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0.1%)

sample865.0ms (19%)

explain139.0ms (3%)

preprocess51.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.5%)

localize28.0ms (0.6%)

series3.0ms (0.1%)

simplify99.0ms (2.2%)

rewrite114.0ms (2.5%)

eval44.0ms (1%)

prune13.0ms (0.3%)

simplify112.0ms (2.4%)

localize125.0ms (2.7%)

series15.0ms (0.3%)

simplify153.0ms (3.3%)

rewrite150.0ms (3.3%)

eval180.0ms (3.9%)

prune45.0ms (1%)

simplify167.0ms (3.7%)

localize83.0ms (1.8%)

series12.0ms (0.3%)

simplify113.0ms (2.5%)

rewrite135.0ms (3%)

eval81.0ms (1.8%)

prune29.0ms (0.6%)

simplify135.0ms (3%)

localize84.0ms (1.8%)

series10.0ms (0.2%)

simplify112.0ms (2.5%)

rewrite116.0ms (2.5%)

eval97.0ms (2.1%)

prune29.0ms (0.6%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.7%)

soundness1.1s (23.3%)

preprocess57.0ms (1.2%)

end0.0ms (0%)

Profiling