Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

-34.1MiB live, 3.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	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 11 to 8 computations (27.3% saved)

sample853.0ms (15.4%)

Memory

38.5MiB live, 1 228.9MiB allocated

Samples

415.0ms	3 908×	1	valid
195.0ms	4 348×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

ival-div: 167.0ms (43.4% of total)

ival-add: 95.0ms (24.7% of total)

adjust: 62.0ms (16.1% of total)

ival-sub: 49.0ms (12.7% of total)

ival-true: 5.0ms (1.3% of total)

exact: 4.0ms (1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain116.0ms (2.1%)

Memory

7.3MiB live, 164.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`	cancellation	72	0

Confusion

	Predicted +	Predicted -
+	72	0
-	0	184

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	0	0	184

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	230×	1	valid
13.0ms	282×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 13.0ms (47% of total)

ival-add: 7.0ms (25.3% of total)

adjust: 4.0ms (14.5% of total)

ival-sub: 3.0ms (10.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess23.0ms (0.4%)

Memory

-28.8MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

2.0MiB live, 48.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	15.93447718954264	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

13.0ms	115×	1	valid
7.0ms	141×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 7.0ms (54.7% of total)

adjust: 2.0ms (15.6% of total)

ival-add: 2.0ms (15.6% of total)

ival-sub: 2.0ms (15.6% 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

5.4MiB live, 5.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

simplify144.0ms (2.6%)

Memory

-38.5MiB live, 126.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	305
1	150	286
2	351	274
3	1021	268
4	3180	263
5	5260	262
6	6620	262
7	7436	262
8	7938	262
0	8035	260

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite139.0ms (2.5%)

Memory

32.3MiB live, 147.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

Stop Event

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

Counts

4 → 325

Calls

Call 1

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

Outputs
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eval81.0ms (1.5%)

Memory: -5.5MiB live, 111.4MiB allocated
Compiler: Compiled 7 236 to 949 computations (86.9% saved)

prune12.0ms (0.2%)

Memory

-4.1MiB live, 34.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	363	8	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	363	9	372

Accuracy

100.0%

Counts

372 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
	99.8%	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
✓	75.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	52.1%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	48.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	51.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	39.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶	52.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	51.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 137 to 106 computations (22.6% saved)

simplify163.0ms (2.9%)

Memory

-9.8MiB live, 107.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	130
0	35	120
1	61	120
2	94	120
3	156	120
4	245	120
5	505	120
6	1053	120
7	2361	120
8	4540	120
9	6774	120
0	8148	120

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 x x)
#s(literal 0 binary64)
x
#s(literal 1 binary64)
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize88.0ms (1.6%)

Memory

23.7MiB live, 145.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	5.427091191325356	(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
accuracy	33.32441861490164	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.1640625	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	32.77793683747926	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	15.93447718954264	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	31.16013768626774	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	30.54933525288588	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(fma.f64 x x x)
accuracy	0	(-.f64 (-.f64 x x) #s(literal 1 binary64))
accuracy	0	(-.f64 x x)
accuracy	0.07421875	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))

Samples

39.0ms	141×	0	valid
35.0ms	115×	1	valid

Compiler

Compiled 108 to 20 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 14.0ms (33.2% of total)

ival-pow: 8.0ms (19% of total)

ival-mult: 7.0ms (16.6% of total)

adjust: 5.0ms (11.9% of total)

ival-sub: 5.0ms (11.9% of total)

ival-add: 3.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-22.9MiB live, 15.2MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (- x x) 1) (- x x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))
1.0ms	x	@	-inf	((- (- x x) 1) (- x x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))
1.0ms	x	@	inf	((- (- x x) 1) (- x x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify151.0ms (2.7%)

Memory

26.1MiB live, 178.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1125
1	165	1042
2	407	998
3	1218	996
4	4043	942
5	6972	942
0	8071	921

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

Inputs
-1
-1
-1
-1
0
0
0
0
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1
-1
-1
-1
0
0
0
0
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1
-1
-1
-1
0
0
0
0
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -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 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) 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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) 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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))

rewrite70.0ms (1.3%)

Memory

-4.0MiB live, 87.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	113
0	35	103
1	179	92
0	1255	92

Stop Event

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

Counts

15 → 200

Calls

Call 1

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

Outputs
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eval46.0ms (0.8%)

Memory: -2.2MiB live, 72.8MiB allocated
Compiler: Compiled 4 909 to 707 computations (85.6% saved)

prune18.0ms (0.3%)

Memory

-1.3MiB live, 37.5MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	427	8	435
Fresh	3	0	3
Picked	3	2	5
Done	1	0	1
Total	434	10	444

Accuracy

100.0%

Counts

444 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
▶	46.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
▶	99.9%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
▶	51.8%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
	48.7%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	17.7%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
▶	51.9%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
✓	48.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	52.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 164 to 115 computations (29.9% saved)

simplify157.0ms (2.8%)

Memory

-7.0MiB live, 149.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff	320	(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
cost-diff	704	(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
cost-diff	1216	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	214
0	47	173
1	112	171
2	267	162
3	887	162
4	2647	162
5	6054	162
0	8082	162

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x x)
x
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
#s(literal 0 binary64)
(fma.f64 x x x)
x
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 4 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x x)
x
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (-.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
#s(literal 0 binary64)
#s(literal 0 binary64)
(fma.f64 x x x)
x
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)
#s(literal 1 binary64)
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 4 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize92.0ms (1.7%)

Memory

14.1MiB live, 58.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.2771264160635143	(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))
accuracy	20.23334980431232	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
accuracy	32.16925629026705	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
accuracy	0	(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
accuracy	0.1171875	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
accuracy	12.550711072511522	(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
accuracy	33.97982771016897	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy	0.01953125	(-.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	30.77176714117456	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	30.851874482407794	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0	(fma.f64 x x x)
accuracy	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))

Samples

75.0ms

256×

valid

Compiler

Compiled 201 to 27 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (32.4% of total)

ival-sub: 6.0ms (21.6% of total)

ival-div: 6.0ms (21.6% of total)

ival-pow: 3.0ms (10.8% of total)

ival-add: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((/ (- (- x x) 1) (+ (* x x) x)) (- (- x x) 1) (+ (* x x) x) (/ (- (- x x) 1) (+ (* x x) x)) (/ (- x 1) x) (- x 1) (/ (- (- x x) 1) (+ (* x x) x)) (* (- 1 x) (- (/ -1 x) x)) (- 1 x) (- (/ -1 x) x) (/ (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (+ (* x x) x) (+ (* x x) x))) (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1) (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (/ (- (- x x) 1) (+ (* x x) x)) (* (pow (/ -1 x) 4) (+ (* (- 1 x) x) -1)) (pow (/ -1 x) 4) (/ -1 x) (* (+ (* x x) x) (+ (* x x) x)))

1.0ms

-inf

((/ (- (- x x) 1) (+ (* x x) x)) (- (- x x) 1) (+ (* x x) x) (/ (- (- x x) 1) (+ (* x x) x)) (/ (- x 1) x) (- x 1) (/ (- (- x x) 1) (+ (* x x) x)) (* (- 1 x) (- (/ -1 x) x)) (- 1 x) (- (/ -1 x) x) (/ (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (+ (* x x) x) (+ (* x x) x))) (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1) (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (/ (- (- x x) 1) (+ (* x x) x)) (* (pow (/ -1 x) 4) (+ (* (- 1 x) x) -1)) (pow (/ -1 x) 4) (/ -1 x) (* (+ (* x x) x) (+ (* x x) x)))

1.0ms

inf

((/ (- (- x x) 1) (+ (* x x) x)) (- (- x x) 1) (+ (* x x) x) (/ (- (- x x) 1) (+ (* x x) x)) (/ (- x 1) x) (- x 1) (/ (- (- x x) 1) (+ (* x x) x)) (* (- 1 x) (- (/ -1 x) x)) (- 1 x) (- (/ -1 x) x) (/ (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (+ (* x x) x) (+ (* x x) x))) (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1) (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (/ (- (- x x) 1) (+ (* x x) x)) (* (pow (/ -1 x) 4) (+ (* (- 1 x) x) -1)) (pow (/ -1 x) 4) (/ -1 x) (* (+ (* x x) x) (+ (* x x) x)))

simplify134.0ms (2.4%)

Memory

-6.7MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1438
1	268	1383
2	760	1279
3	2293	1251
4	5604	1195
5	7841	1195
0	8015	1152

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
-1
-1
-1
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
-1
(- x 1)
(- x 1)
(- x 1)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ -1 x)
(/ (- (* -1 (pow x 2)) 1) x)
(/ (- (* -1 (pow x 2)) 1) x)
(/ (- (* -1 (pow x 2)) 1) x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
0
0
0
0
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 4))
(/ (- x 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
-1
-1
-1
-1
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
0
0
0
0
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
-1
-1
-1
-1
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
0
0
0
0
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))

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

rewrite95.0ms (1.7%)

Memory

3.7MiB live, 41.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	184
0	47	137
1	244	129
0	1581	129

Stop Event

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

Counts

19 → 445

Calls

Call 1

Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
(fma.f64 x x x)
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64)))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 x x x) (fma.f64 x x x))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval318.0ms (5.7%)

Memory: -29.6MiB live, 135.1MiB allocated
Compiler: Compiled 20 116 to 2 020 computations (90% saved)

prune53.0ms (1%)

Memory

7.5MiB live, 57.4MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	986	10	996
Fresh	2	1	3
Picked	3	2	5
Done	0	2	2
Total	991	15	1 006

Accuracy

100.0%

Counts

1 006 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
	46.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) x))
	46.6%	(/.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	99.9%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
▶	99.9%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
▶	48.7%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
▶	15.9%	(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	51.8%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	3.2%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
	2.7%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
▶	2.9%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
	2.2%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x x)))
✓	48.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	52.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 233 to 155 computations (33.5% saved)

simplify327.0ms (5.9%)

Memory

-0.7MiB live, 75.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	210
0	52	170
1	112	168
2	255	168
3	511	168
4	959	168
5	2154	168
6	4180	168
7	5449	168
8	6011	168
9	6246	168
10	6311	168
11	6378	168
12	6608	168
13	6921	168
14	7172	168
15	7502	168
16	7506	168
17	7508	168
18	7512	168
19	7512	168
0	8001	168

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 x x x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))))
#s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x (neg.f64 x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
#s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
(fma.f64 x x x)

localize88.0ms (1.6%)

Memory

11.0MiB live, 48.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.1171875	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
accuracy	32.11743892665685	#s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (*.f64 (neg.f64 x) x))
accuracy	33.97982771016897	(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
accuracy	32.11743892665685	#s(approx (+ (* x x) x) (*.f64 x x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	30.77176714117456	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
accuracy	32.09857157891749	#s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	30.851874482407794	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
accuracy	32.8141757433786	#s(approx (/ (- x 1) x) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.07421875	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))

Samples

72.0ms

256×

valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

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

ival-add: 34.0ms (56.9% of total)

ival-mult: 10.0ms (16.7% of total)

ival-div: 8.0ms (13.4% of total)

ival-sub: 7.0ms (11.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((* (+ 1 x) x) (/ (- (- x x) 1) (* (+ 1 x) x)) (- (- x x) 1) (+ 1 x) (/ (- (- x x) 1) (+ (* x x) x)) (/ (- x 1) x) (/ (- (- x x) 1) (+ (* x x) x)) (* (- 1 x) (- (/ -1 x) x)) (* (- x 1) x) (- x 1) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (* x x) (/ (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (+ (* x x) x) (+ (* x x) x))) (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (neg x) x) (neg x) (* (+ (* x x) x) (+ (* x x) x)))

1.0ms

inf

((* (+ 1 x) x) (/ (- (- x x) 1) (* (+ 1 x) x)) (- (- x x) 1) (+ 1 x) (/ (- (- x x) 1) (+ (* x x) x)) (/ (- x 1) x) (/ (- (- x x) 1) (+ (* x x) x)) (* (- 1 x) (- (/ -1 x) x)) (* (- x 1) x) (- x 1) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (* x x) (/ (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (+ (* x x) x) (+ (* x x) x))) (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (neg x) x) (neg x) (* (+ (* x x) x) (+ (* x x) x)))

1.0ms

((* (+ 1 x) x) (/ (- (- x x) 1) (* (+ 1 x) x)) (- (- x x) 1) (+ 1 x) (/ (- (- x x) 1) (+ (* x x) x)) (/ (- x 1) x) (/ (- (- x x) 1) (+ (* x x) x)) (* (- 1 x) (- (/ -1 x) x)) (* (- x 1) x) (- x 1) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (* x x) (/ (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (+ (* x x) x) (+ (* x x) x))) (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (* (neg x) x) (neg x) (* (+ (* x x) x) (+ (* x x) x)))

simplify166.0ms (3%)

Memory

-0.2MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1311
1	247	1261
2	679	1188
3	2561	1128
4	6245	1128
0	8151	1093

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

rewrite168.0ms (3%)

Memory

-11.7MiB live, 107.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	190
0	52	148
1	242	146
2	1413	146
0	8417	146

Stop Event

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

Counts

18 → 1 000

Calls

Call 1

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

Outputs
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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eval212.0ms (3.8%)

Memory: 9.3MiB live, 158.6MiB allocated
Compiler: Compiled 23 953 to 2 983 computations (87.5% saved)

prune45.0ms (0.8%)

Memory

-12.0MiB live, 66.2MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 221	2	1 223
Fresh	4	2	6
Picked	1	4	5
Done	0	4	4
Total	1 226	12	1 238

Accuracy

100.0%

Counts

1 238 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
✓	99.9%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓	99.9%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	48.7%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	15.9%	(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	51.8%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	3.2%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
	2.7%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	3.4%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (* (- x 1) x) (neg.f64 x))))
✓	48.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	52.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 345 to 154 computations (55.4% saved)

regimes17.0ms (0.3%)

Memory

32.7MiB live, 32.7MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x x)))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))

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

Calls

2 calls:

8.0ms	x
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.2%)

Memory

-20.5MiB live, 18.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
4.0ms	x

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.3%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.2%)

Memory

-32.7MiB live, 12.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
52.3%	1	`x`
52.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (* (- x 1) x) (neg.f64 x))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
3.2%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.702282667266926
0.0ms	-18.29786950600357	-2.2104919480744477e-10

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.702282667266926
0.0ms	-18.29786950600357	-2.2104919480744477e-10

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify23.0ms (0.4%)

Memory

7.0MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	212
1	62	212
2	74	212
3	83	212
4	84	212

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))

Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))

soundness1.6s (28.2%)

Memory

1.0MiB live, 835.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1311
1	247	1261
2	679	1188
3	2561	1128
4	6245	1128
0	8151	1093
0	53	305
1	150	286
2	351	274
3	1021	268
4	3180	263
5	5260	262
6	6620	262
7	7436	262
8	7938	262
0	8035	260
0	90	1438
1	268	1383
2	760	1279
3	2293	1251
4	5604	1195
5	7841	1195
0	8015	1152
0	59	1125
1	165	1042
2	407	998
3	1218	996
4	4043	942
5	6972	942
0	8071	921
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 240 to 119 computations (50.4% saved)

preprocess60.0ms (1.1%)

Memory: 8.1MiB live, 126.2MiB allocated
Compiler: Compiled 246 to 94 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

start0.0ms (0%)

analyze11.0ms (0.2%)

sample853.0ms (15.4%)

explain116.0ms (2.1%)

preprocess23.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize26.0ms (0.5%)

series3.0ms (0.1%)

simplify144.0ms (2.6%)

rewrite139.0ms (2.5%)

eval81.0ms (1.5%)

prune12.0ms (0.2%)

simplify163.0ms (2.9%)

localize88.0ms (1.6%)

series11.0ms (0.2%)

simplify151.0ms (2.7%)

rewrite70.0ms (1.3%)

eval46.0ms (0.8%)

prune18.0ms (0.3%)

simplify157.0ms (2.8%)

localize92.0ms (1.7%)

series11.0ms (0.2%)

simplify134.0ms (2.4%)

rewrite95.0ms (1.7%)

eval318.0ms (5.7%)

prune53.0ms (1%)

simplify327.0ms (5.9%)

localize88.0ms (1.6%)

series10.0ms (0.2%)

simplify166.0ms (3%)

rewrite168.0ms (3%)

eval212.0ms (3.8%)

prune45.0ms (0.8%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify23.0ms (0.4%)

soundness1.6s (28.2%)

preprocess60.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22