Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.0s (12.8%)

Memory

-109.5MiB live, 1 199.1MiB allocated

Samples

389.0ms	4 354×	0	valid
373.0ms	3 902×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-add: 222.0ms (41.6% of total)

ival-div: 183.0ms (34.3% of total)

adjust: 64.0ms (12% of total)

ival-sub: 51.0ms (9.6% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

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

Bogosity

explain91.0ms (1.1%)

Memory

-6.6MiB live, 163.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
80	-	-	`(-.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	80	0

Confusion

	Predicted +	Predicted -
+	80	0
-	0	176

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	0
-	0	0	176

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	176
1	80

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	248×	1	valid
17.0ms	264×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 11.0ms (47.8% of total)

adjust: 4.0ms (17.4% of total)

ival-add: 4.0ms (17.4% of total)

ival-sub: 3.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

preprocess34.0ms (0.4%)

Memory

-16.3MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify10.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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))

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

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

localize26.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB 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	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	17.268382689490938	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

12.0ms	124×	1	valid
6.0ms	132×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (44.7% of total)

adjust: 2.0ms (17.9% of total)

ival-add: 2.0ms (17.9% of total)

ival-sub: 2.0ms (17.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 (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 (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 (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 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 (/ 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 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 x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 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 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 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

12 calls:

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

simplify208.0ms (2.6%)

Memory

-3.6MiB live, 224.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
2 500×	`lower-*.f64`
2 500×	`lower-*.f32`
1 944×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	305
1	150	286
2	351	274
3	1017	268
4	3170	263
5	5268	262
6	6646	262
7	7448	262
8	7950	262
0	8009	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 (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 (/ (- (/ 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 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 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)
(* -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
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

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

rewrite172.0ms (2.1%)

Memory

-7.0MiB live, 150.8MiB allocated

Rules

2 900×	`lower-fma.f64`
2 900×	`lower-fma.f32`
1 990×	`lower-*.f64`
1 990×	`lower-*.f32`
1 480×	`lower-/.f32`

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
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)))
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x)))))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
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eval44.0ms (0.5%)

Memory: 11.1MiB live, 84.7MiB allocated
Compiler: Compiled 8 663 to 912 computations (89.5% saved)

prune120.0ms (1.5%)

Memory

-18.4MiB live, 108.6MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	362	9	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	362	10	372

Accuracy

99.7%

Counts

372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	45.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
	46.0%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	45.9%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	47.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
▶	56.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
▶	55.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	47.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))))
▶	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 202 to 108 computations (46.5% saved)

simplify222.0ms (2.8%)

Memory

14.3MiB live, 287.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

10 286×	`lower-fma.f64`
10 286×	`lower-fma.f32`
4 432×	`lower-*.f32`
4 426×	`lower-*.f64`
1 712×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	186
0	38	180
1	68	180
2	117	180
3	221	180
4	429	180
5	1036	180
6	2229	180
7	4224	180
8	5834	180
9	6564	180
10	7373	180
0	8011	178

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.3%)

Memory

5.7MiB live, 126.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.10546875	(.f64 x (.f64 x x))
accuracy	4.7686854939909065	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
accuracy	28.77957020323566	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
accuracy	0	(+.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy	34.88725968670484	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(*.f64 x x)
accuracy	0.23981054928895532	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	28.303168850668442	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	33.44664416877943	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.23199804928895532	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
accuracy	14.670109761171448	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
accuracy	27.760080606209037	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))

Samples

37.0ms	132×	0	valid
31.0ms	124×	1	valid

Compiler

Compiled 144 to 21 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 31.0ms (61.8% of total)

ival-add: 6.0ms (12% of total)

adjust: 5.0ms (10% of total)

ival-mult: 5.0ms (10% of total)

ival-sub: 3.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

simplify220.0ms (2.7%)

Memory

-37.9MiB live, 368.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 122×	`lower-fma.f64`
11 122×	`lower-fma.f32`
2 324×	`lower-*.f64`
2 324×	`lower-*.f32`
1 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1481
1	195	1380
2	552	1258
3	1745	1226
4	4982	1170
0	8072	1149

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

Calls

Call 1

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

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

rewrite373.0ms (4.6%)

Memory

24.5MiB live, 468.7MiB allocated

Rules

5 130×	`lower-/.f32`
5 118×	`lower-/.f64`
4 626×	`lower-fma.f64`
4 626×	`lower-fma.f32`
4 138×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	163
0	38	157
1	170	155
2	1536	155
0	8362	147

Stop Event

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

Counts

17 → 750

Calls

Call 1

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

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

eval474.0ms (5.9%)

Memory: -7.8MiB live, 264.0MiB allocated
Compiler: Compiled 22 341 to 2 237 computations (90% saved)

prune210.0ms (2.6%)

Memory

-14.8MiB live, 224.8MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 106	11	1 117
Fresh	0	4	4
Picked	1	4	5
Done	0	1	1
Total	1 107	20	1 127

Accuracy

100.0%

Counts

1 127 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	45.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
	46.0%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	45.9%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	18.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
	54.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)))
▶	55.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶	16.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
✓	47.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	48.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 x (.f64 x x))))
✓	55.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	31.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	23.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
	47.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))))
✓	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
	2.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
	2.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
▶	2.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))

Compiler

Compiled 408 to 204 computations (50% saved)

simplify284.0ms (3.5%)

Memory

26.6MiB live, 194.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 x (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
cost-diff	640	(/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) x) x)

Rules

12 306×	`lower-fma.f32`
12 304×	`lower-fma.f64`
3 466×	`lower-*.f32`
3 462×	`lower-*.f64`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	183
0	39	183
1	74	177
2	154	171
3	359	167
4	808	167
5	2447	167
6	5356	167
7	7103	167
0	8026	167

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (2%)

Memory

-4.2MiB live, 113.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 x (*.f64 x x))
accuracy	0.146816259768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	26.723199285155754	(/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
accuracy	28.77957020323566	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy	17.268382689490938	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	34.623211939002566	#s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	17.268382689490938	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	34.219056642818835	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	28.797912312785876	#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
accuracy	34.88725968670484	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.1171875	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	28.303168850668442	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))

Samples

52.0ms	132×	0	valid
33.0ms	124×	1	valid

Compiler

Compiled 131 to 20 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 45.0ms (64.9% of total)

ival-add: 7.0ms (10.1% of total)

ival-mult: 7.0ms (10.1% of total)

adjust: 5.0ms (7.2% of total)

ival-sub: 5.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

-20.1MiB live, 16.3MiB allocated

Counts

17 → 204

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

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

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (- x (* x x)) (* (* x x) (* x x)))
0.0ms	x	@	inf	(* (* x x) (* x x))
0.0ms	x	@	-inf	(/ (- x (* x x)) (* (* x x) (* x x)))
0.0ms	x	@	0	(* (* x x) (* x x))
0.0ms	x	@	inf	(/ (- x (* x x)) (* (* x x) (* x x)))

simplify221.0ms (2.7%)

Memory

-3.2MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 486×	`lower-fma.f64`
10 486×	`lower-fma.f32`
2 348×	`lower-*.f64`
2 348×	`lower-*.f32`
1 464×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1532
1	191	1436
2	528	1270
3	1813	1262
4	5822	1206
0	8125	1181

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

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

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

rewrite275.0ms (3.4%)

Memory

22.6MiB live, 487.4MiB allocated

Rules

5 154×	`lower-fma.f32`
5 152×	`lower-fma.f64`
5 048×	`lower-/.f32`
5 040×	`lower-/.f64`
3 924×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	39	163
1	198	155
2	1804	151
0	8223	144

Stop Event

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

Counts

17 → 528

Calls

Call 1

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

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

eval150.0ms (1.9%)

Memory: 21.5MiB live, 250.1MiB allocated
Compiler: Compiled 17 876 to 1 669 computations (90.7% saved)

prune141.0ms (1.8%)

Memory

-12.0MiB live, 336.6MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	860	4	864
Fresh	2	8	10
Picked	1	4	5
Done	0	5	5
Total	863	21	884

Accuracy

100.0%

Counts

884 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	45.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
▶	46.0%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
✓	45.9%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	18.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
▶	54.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)))
✓	55.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶	16.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x)))
✓	47.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	16.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- x (* x x)) (.f64 x (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
	48.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 x (.f64 x x))))
✓	55.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	12.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))))
	31.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	23.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
✓	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
▶	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
	2.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
▶	2.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
✓	2.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))

Compiler

Compiled 410 to 202 computations (50.7% saved)

simplify286.0ms (3.6%)

Memory

-16.1MiB live, 297.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 x (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x)))
cost-diff	640	(/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x))
cost-diff	0	(+.f64 #s(literal -1 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
cost-diff	192	(/.f64 (fma.f64 x x #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)) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) x)
cost-diff	0	#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
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 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)))
cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))

Rules

14 000×	`lower-fma.f32`
13 998×	`lower-fma.f64`
3 654×	`lower-*.f32`
3 646×	`lower-*.f64`
1 852×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	268
0	53	248
1	92	246
2	183	246
3	346	246
4	792	242
5	2251	242
6	4932	242
0	8088	242

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (2.5%)

Memory

-13.9MiB live, 195.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (.f64 x (*.f64 x x)) x)
accuracy	0.10546875	(.f64 x (.f64 x x))
accuracy	26.723199285155754	(/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x))
accuracy	28.77957020323566	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x)))
accuracy	0	#s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
accuracy	14.602075132011084	(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy	34.88725968670484	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
accuracy	0.015625	(-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)
accuracy	17.268382689490938	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	34.00197752649749	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	34.623211939002566	#s(approx (/ 1 (+ x 1)) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(-.f64 (*.f64 x x) x)
accuracy	27.79699993709826	#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
accuracy	34.88725968670484	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy	0.24762304928895532	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))
accuracy	28.77957020323566	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)))

Samples

96.0ms	124×	1	valid
47.0ms	132×	0	valid

Compiler

Compiled 175 to 24 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-div: 72.0ms (69.1% of total)

ival-add: 9.0ms (8.6% of total)

ival-mult: 8.0ms (7.7% of total)

adjust: 7.0ms (6.7% of total)

ival-sub: 7.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

22 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

simplify340.0ms (4.2%)

Memory

8.8MiB live, 283.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 972×	`lower-fma.f64`
12 972×	`lower-fma.f32`
2 444×	`lower-*.f64`
2 444×	`lower-*.f32`
1 744×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1854
1	211	1719
2	576	1497
3	1883	1495
4	5748	1429
0	8059	1408

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

Calls

Call 1

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

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

rewrite412.0ms (5.1%)

Memory

-4.6MiB live, 383.2MiB allocated

Rules

4 990×	`lower-/.f32`
4 980×	`lower-/.f64`
4 084×	`lower-*.f32`
4 076×	`lower-*.f64`
3 600×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
0	53	226
1	224	224
2	2010	220
0	8573	213

Stop Event

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

Counts

22 → 680

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 x (.f64 x (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x x x) (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (neg.f64 x) (.f64 x (neg.f64 x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (-.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x x x) (-.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (-.f64 x (.f64 x x)))) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x x) (-.f64 x (.f64 x x)))) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (.f64 x x)))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (-.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))))
(/.f64 (.f64 (.f64 (fma.f64 x x x) (-.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x x x))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (.f64 x x)) x) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) x)) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (neg.f64 x)))) (.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 x (neg.f64 x)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 x (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) x))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (/.f64 (.f64 x x) x))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (.f64 x x) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x x)))
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 x x) x))) (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 x x))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 x (neg.f64 x)))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 (.f64 (.f64 x x) (*.f64 x x))) x))
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 x x) x))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (.f64 x x))) (.f64 x x)) x) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (neg.f64 x)))) (.f64 x (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (.f64 x x))) x) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (/.f64 (.f64 x x) x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) x)) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) x)) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (neg.f64 x))) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 x (.f64 x x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (-.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x (.f64 (.f64 x x) (fma.f64 x x x))) (.f64 (.f64 x x) (*.f64 x x)))))
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eval170.0ms (2.1%)

Memory: 29.7MiB live, 183.4MiB allocated
Compiler: Compiled 18 625 to 1 568 computations (91.6% saved)

prune138.0ms (1.7%)

Memory

-39.7MiB live, 336.2MiB allocated

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	1 000	3	1 003
Fresh	1	6	7
Picked	0	5	5
Done	1	8	9
Total	1 002	22	1 024

Accuracy

100.0%

Counts

1 024 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	45.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
✓	46.0%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
✓	45.9%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	18.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
	30.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x)) x) (.f64 x x)))
✓	54.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)))
✓	55.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	16.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) x)))
✓	47.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	16.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- x (* x x)) (.f64 x (neg.f64 x))) (.f64 (.f64 x (.f64 x x)) x)))
	48.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 x (.f64 x x))))
✓	55.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	12.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))))
	31.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	23.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
✓	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	45.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
	2.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
✓	2.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
	3.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))

Compiler

Compiled 572 to 198 computations (65.4% saved)

regimes19.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.7%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes16.0ms (0.2%)

Memory

-5.8MiB live, 33.0MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes12.0ms (0.2%)

Memory

-14.1MiB live, 23.8MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.1%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes11.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes11.0ms (0.1%)

Memory

-16.7MiB live, 21.9MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
5.0ms	x

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes9.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes11.0ms (0.1%)

Memory

-24.4MiB live, 17.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	(-.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
98.2%	3	`x`
98.2%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (- (/ 1 (+ x 1)) (/ 1 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))

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

Calls

2 calls:

3.0ms	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
98.1%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
98.1%	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes8.0ms (0.1%)

Memory

-18.8MiB live, 19.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Results

Accuracy	Segments	Branch
98.1%	3	`x`
98.1%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	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
47.7%	1	`x`
47.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory

-24.1MiB live, 14.1MiB allocated

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) 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
3.2%	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 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-3.912774233032191e-8	-2.875721037590395e-12

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-2.875721037590395e-12	-3.054629605956439e-17

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-3.054629605956439e-17	-1.2305107773065869e-18

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-1653.437557010617	-3.912774233032191e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-1653.437557010617	-3.912774233032191e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-1653.437557010617	-3.912774233032191e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch26.0ms (0.3%)

Memory

22.4MiB live, 60.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0006044352419852932	5054.924248327631
11.0ms	-180934224.39273003	-0.08342830584125913

Samples

14.0ms

288×

valid

Compiler

Compiled 373 to 244 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (67.9% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-29.3MiB live, 10.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0006044352419852932	5054.924248327631
1.0ms	-180934224.39273003	-0.08342830584125913

Samples

7.0ms

32×

valid

Compiler

Compiled 337 to 208 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	13.077361655044745
0.0ms	-1653.437557010617	-3.912774233032191e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify12.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
20×	`sub-neg_binary64`
12×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	625
1	99	625
2	112	625
3	117	625
4	123	625
5	125	625
6	128	625
7	130	625
8	131	625

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -3022314549036573/151115727451828646838272 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 -4951760157141521/2475880078570760549798248448 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 -6490371073168535/324518553658426726783156020576256 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.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))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))

Outputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -3022314549036573/151115727451828646838272 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 -3022314549036573/151115727451828646838272 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 -4951760157141521/2475880078570760549798248448 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 -4951760157141521/2475880078570760549798248448 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 -6490371073168535/324518553658426726783156020576256 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.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))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ x (/ 1 x)) (/.f64 (fma.f64 x 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (+.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (+.f64 #s(approx (/ 1 (+ x 1)) (-.f64 (fma.f64 x x #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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 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 -1000 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.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 -1000 binary64)) (+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.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 (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))

soundness1.6s (19.9%)

Memory

3.0MiB live, 752.7MiB allocated

Rules

12 972×	`lower-fma.f64`
12 972×	`lower-fma.f32`
11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
11 122×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	305
1	150	286
2	351	274
3	1017	268
4	3170	263
5	5268	262
6	6646	262
7	7448	262
8	7950	262
0	8009	260
0	74	1854
1	211	1719
2	576	1497
3	1883	1495
4	5748	1429
0	8059	1408
0	25	163
0	38	157
1	170	155
2	1536	155
0	8362	147
0	69	1481
1	195	1380
2	552	1258
3	1745	1226
4	4982	1170
0	8072	1149

Stop Event

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

Compiler

Compiled 560 to 148 computations (73.6% saved)

preprocess108.0ms (1.3%)

Memory: -21.0MiB live, 186.6MiB allocated
Compiler: Compiled 892 to 154 computations (82.7% 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	82	625
1	99	625
2	112	625
3	117	625
4	123	625
5	125	625
6	128	625
7	130	625
8	131	625

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	82	625
1	99	625
2	112	625
3	117	625
4	123	625
5	125	625
6	128	625
7	130	625
8	131	625

start0.0ms (0%)

analyze2.0ms (0%)

sample1.0s (12.8%)

explain91.0ms (1.1%)

preprocess34.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize26.0ms (0.3%)

series3.0ms (0%)

simplify208.0ms (2.6%)

rewrite172.0ms (2.1%)

eval44.0ms (0.5%)

prune120.0ms (1.5%)

simplify222.0ms (2.8%)

localize102.0ms (1.3%)

series11.0ms (0.1%)

simplify220.0ms (2.7%)

rewrite373.0ms (4.6%)

eval474.0ms (5.9%)

prune210.0ms (2.6%)

simplify284.0ms (3.5%)

localize162.0ms (2%)

series36.0ms (0.4%)

simplify221.0ms (2.7%)

rewrite275.0ms (3.4%)

eval150.0ms (1.9%)

prune141.0ms (1.8%)

simplify286.0ms (3.6%)

localize198.0ms (2.5%)

series10.0ms (0.1%)

simplify340.0ms (4.2%)

rewrite412.0ms (5.1%)

eval170.0ms (2.1%)

prune138.0ms (1.7%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.3%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness1.6s (19.9%)

preprocess108.0ms (1.3%)

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

Iter	Nodes	Cost
0	82	625
1	99	625
2	112	625
3	117	625
4	123	625
5	125	625
6	128	625
7	130	625
8	131	625