Metrics for 2frac (problem 3.3.1)

analyze2.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

sample984.0ms (13%)

Memory

12.5MiB live, 857.6MiB allocated

Samples

443.0ms	3 887×	1	valid
219.0ms	4 369×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 493.0ms

ival-div: 206.0ms (41.8% of total)

ival-add: 144.0ms (29.2% of total)

adjust: 74.0ms (15% of total)

ival-sub: 56.0ms (11.4% of total)

ival-true: 6.0ms (1.2% of total)

exact: 4.0ms (0.8% of total)

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

Bogosity

preprocess25.0ms (0.3%)

Memory

8.6MiB live, 48.0MiB 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))

explain108.0ms (1.4%)

Memory

4.0MiB live, 129.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
67	-	-	`(-.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	67	0

Confusion

	Predicted +	Predicted -
+	67	0
-	0	189

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	0	0	189

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	189
1	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms	244×	1	valid
13.0ms	268×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45.3% of total)

adjust: 4.0ms (18.1% of total)

ival-add: 4.0ms (18.1% of total)

ival-sub: 3.0ms (13.6% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(-.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)

simplify18.0ms (0.2%)

Memory

-24.0MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize29.0ms (0.4%)

Memory

0.2MiB live, 40.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	76.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

13.0ms	122×	1	valid
8.0ms	134×	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 (44.9% of total)

adjust: 2.0ms (18% of total)

ival-add: 2.0ms (18% of total)

ival-sub: 2.0ms (18% 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

3.8MiB live, 3.8MiB 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	@	0	(- (/ 1 (+ x 1)) (/ 1 x))
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	-inf	(- (/ 1 (+ x 1)) (/ 1 x))
0.0ms	x	@	inf	(+ x 1)

rewrite180.0ms (2.4%)

Memory

-16.7MiB live, 303.0MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))
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(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.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 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (.f64 x x) (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) (+.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log.f64 x))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #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) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #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) (fma.f64 x x x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.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 (.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 (-.f64 (*.f64 x (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.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))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.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 (/.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.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) (+.f64 #s(literal 1 binary64) x)))
(.f64 (+.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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 x x #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 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (fma.f64 x x #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 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(-.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify282.0ms (3.7%)

Memory

42.4MiB live, 434.9MiB 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 #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 (+.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)

eval44.0ms (0.6%)

Memory: -1.0MiB live, 78.0MiB allocated
Compiler: Compiled 8 617 to 913 computations (89.4% saved)

prune66.0ms (0.9%)

Memory

5.4MiB live, 81.2MiB 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

99.3%

Counts

372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (-.f64 (.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.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))))
▶	28.5%	(/.f64 (-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
▶	42.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
	51.6%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
▶	51.7%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
▶	50.7%	(/.f64 #s(literal -1 binary64) x)
✓	76.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	49.8%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
	49.7%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	49.7%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 274 to 118 computations (56.9% saved)

simplify701.0ms (9.2%)

Memory

-213.8MiB live, 626.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(*.f64 x (fma.f64 x x x))
✓	cost-diff	1216	(/.f64 (-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	cost-diff	1280	(-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	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	(/.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 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))

Rules

19 932×	`lower-fma.f32`
19 930×	`lower-fma.f64`
3 964×	`lower-*.f32`
3 954×	`lower-*.f64`
2 920×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	124
0	33	120
1	78	110
2	215	100
3	931	91
4	5117	91
0	8647	91

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.2%)

Memory

-28.4MiB live, 143.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
✓	accuracy	50.2%	(-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	39.9%	(/.f64 (-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	91.3%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (*.f64 x x))

Samples

47.0ms	129×	1	valid
16.0ms	127×	0	valid

Compiler

Compiled 137 to 20 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 16.0ms (33.1% of total)

adjust: 10.0ms (20.7% of total)

ival-div: 10.0ms (20.7% of total)

ival-add: 7.0ms (14.5% of total)

ival-sub: 5.0ms (10.3% 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

19.2MiB live, 19.2MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite319.0ms (4.2%)

Memory

10.8MiB live, 507.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 330×	`lower-*.f32`
5 320×	`lower-*.f64`
4 984×	`lower-/.f32`
4 974×	`lower-/.f64`
2 726×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	105
0	33	95
1	159	84
2	1382	83
0	8614	83

Stop Event

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

Counts

14 → 860

Calls

Call 1

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

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

simplify363.0ms (4.8%)

Memory

-6.3MiB live, 472.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 286×	`lower-fma.f64`
13 286×	`lower-fma.f32`
2 918×	`lower-*.f64`
2 918×	`lower-*.f32`
1 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	950
1	271	924
2	769	847
3	2313	843
4	5931	843
0	8125	810

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

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

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

eval224.0ms (2.9%)

Memory: 19.6MiB live, 295.2MiB allocated
Compiler: Compiled 48 780 to 3 415 computations (93% saved)

prune159.0ms (2.1%)

Memory

29.9MiB live, 343.7MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 292	10	1 302
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	1 295	17	1 312

Accuracy

100.0%

Counts

1 312 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
	17.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (*.f64 x x)))
▶	52.3%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	42.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
	39.5%	(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
▶	13.1%	(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
▶	43.8%	(/.f64 (neg.f64 x) (.f64 x (.f64 x x)))
✓	51.7%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	50.7%	(/.f64 #s(literal -1 binary64) x)
✓	76.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	49.8%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
▶	49.7%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	2.8%	(-.f64 #s(literal 1 binary64) x)
	29.4%	(.f64 (/.f64 (fma.f64 x x x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x)))
	17.1%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.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 #s(literal 1 binary64) x))))
	49.7%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
▶	3.2%	(neg.f64 x)

Compiler

Compiled 330 to 172 computations (47.9% saved)

simplify254.0ms (3.3%)

Memory

-10.2MiB live, 399.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 x (neg.f64 x))
✓	cost-diff	960	(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	448	(/.f64 (neg.f64 x) (.f64 x (.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) x) x)

Rules

6 862×	`lower-fma.f32`
6 860×	`lower-fma.f64`
2 946×	`lower-*.f32`
2 938×	`lower-*.f64`
2 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
0	27	71
1	59	71
2	148	66
3	535	66
4	1690	66
5	3631	66
6	6747	66
0	8042	65

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1%)

Memory

-10.3MiB live, 67.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
✓	accuracy	38.9%	(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	86.6%	(/.f64 (neg.f64 x) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 83 to 17 computations (79.5% saved)

Precisions

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

ival-mult: 16.0ms (56.1% of total)

ival-div: 8.0ms (28.1% of total)

ival-sub: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite61.0ms (0.8%)

Memory

-0.2MiB live, 78.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

422×	`lower-/.f32`
412×	`lower-/.f64`
354×	`lower-*.f32`
346×	`lower-*.f64`
214×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
0	27	51
1	114	50
0	762	50

Stop Event

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

Counts

11 → 165

Calls

Call 1

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

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

simplify295.0ms (3.9%)

Memory

2.3MiB live, 401.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 888×	`lower-fma.f64`
11 888×	`lower-fma.f32`
2 718×	`lower-*.f64`
2 718×	`lower-*.f32`
1 744×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	616
1	201	616
2	489	608
3	1269	600
4	3318	600
5	6768	600
0	8120	587

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

eval35.0ms (0.5%)

Memory: -11.4MiB live, 66.7MiB allocated
Compiler: Compiled 3 782 to 431 computations (88.6% saved)

prune38.0ms (0.5%)

Memory

-3.8MiB live, 73.3MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	338	3	341
Fresh	1	6	7
Picked	1	4	5
Done	0	5	5
Total	340	18	358

Accuracy

100.0%

Counts

358 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
	43.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x)))
✓	52.3%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	42.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
▶	39.5%	(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	13.1%	(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	43.8%	(/.f64 (neg.f64 x) (.f64 x (.f64 x x)))
✓	51.7%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	50.7%	(/.f64 #s(literal -1 binary64) x)
✓	76.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	49.8%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	49.7%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	2.8%	(-.f64 #s(literal 1 binary64) x)
▶	29.4%	(.f64 (/.f64 (fma.f64 x x x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x)))
	17.1%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.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 #s(literal 1 binary64) x))))
	49.7%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
	3.0%	#s(literal 1 binary64)
▶	3.8%	#s(literal -1 binary64)

Compiler

Compiled 284 to 155 computations (45.4% saved)

simplify375.0ms (4.9%)

Memory

9.0MiB live, 636.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	384	(-.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	768	(/.f64 (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	1152	(.f64 (/.f64 (fma.f64 x x x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x)))
✓	cost-diff	0	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	1216	(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)

Rules

18 506×	`lower-fma.f32`
18 504×	`lower-fma.f64`
4 118×	`lower-*.f32`
4 108×	`lower-*.f64`
2 078×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	135
0	33	124
1	83	118
2	247	93
3	895	93
4	3804	93
0	8322	92

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.1%)

Memory

-1.0MiB live, 155.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x))
✓	accuracy	77.7%	(.f64 (/.f64 (fma.f64 x x x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x)))
✓	accuracy	75.0%	(/.f64 (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	51.9%	(-.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
✓	accuracy	39.9%	(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
✓	accuracy	76.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))

Samples

34.0ms	121×	1	valid
20.0ms	135×	0	valid

Compiler

Compiled 145 to 20 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 13.0ms (33.2% of total)

ival-mult: 13.0ms (33.2% of total)

adjust: 5.0ms (12.8% of total)

ival-sub: 4.0ms (10.2% of total)

ival-add: 3.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite430.0ms (5.7%)

Memory

6.6MiB live, 481.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 358×	`lower-/.f32`
5 348×	`lower-/.f64`
4 644×	`lower-*.f32`
4 634×	`lower-*.f64`
3 388×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	109
0	33	89
1	168	78
2	1671	78
0	8605	78

Stop Event

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

Counts

13 → 1 169

Calls

Call 1

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

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

simplify410.0ms (5.4%)

Memory

-0.7MiB live, 474.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 472×	`lower-fma.f64`
15 472×	`lower-fma.f32`
3 052×	`lower-*.f64`
3 052×	`lower-*.f32`
1 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	954
1	251	887
2	673	845
3	2343	827
4	6225	827
0	8466	809

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

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

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

eval179.0ms (2.4%)

Memory: 39.1MiB live, 375.6MiB allocated
Compiler: Compiled 45 455 to 3 846 computations (91.5% saved)

prune177.0ms (2.3%)

Memory

-3.6MiB live, 365.3MiB allocated

Pruning

18 alts after pruning (5 fresh and 13 done)

	Pruned	Kept	Total
New	1 390	1	1 391
Fresh	0	4	4
Picked	1	4	5
Done	0	9	9
Total	1 391	18	1 409

Accuracy

100.0%

Counts

1 409 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
	43.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x)))
✓	52.3%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	42.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
✓	39.5%	(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
	39.5%	(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (.f64 x (fma.f64 x (*.f64 x (+.f64 x #s(literal 2 binary64))) x)))
✓	13.1%	(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	43.8%	(/.f64 (neg.f64 x) (.f64 x (.f64 x x)))
✓	51.7%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	50.7%	(/.f64 #s(literal -1 binary64) x)
✓	76.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	49.8%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	49.7%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	2.8%	(-.f64 #s(literal 1 binary64) x)
	17.1%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.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 #s(literal 1 binary64) x))))
	49.7%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
	3.0%	#s(literal 1 binary64)
✓	3.8%	#s(literal -1 binary64)

Compiler

Compiled 455 to 166 computations (63.5% saved)

regimes22.0ms (0.3%)

Memory

-22.3MiB live, 47.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	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)

regimes8.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x 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
99.2%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
99.2%	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes9.0ms (0.1%)

Memory

-19.4MiB live, 18.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(-.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
98.6%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
98.6%	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) 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
98.4%	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)

regimes6.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

regimes11.0ms (0.2%)

Memory

-26.5MiB live, 15.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(-.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
50.7%	1	`x`
50.7%	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)

regimes4.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(literal -1 binary64)

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
3.8%	1	`x`
3.8%	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)

bsearch34.0ms (0.4%)

Memory

4.5MiB live, 77.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.011705032375873739	1.287532414180027e+20
14.0ms	-54488048557137.37	-352.7855663277538

Samples

18.0ms	320×	0	valid
1.0ms	16×	1	valid

Compiler

Compiled 391 to 262 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 8.0ms (67.7% of total)

ival-add: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.5% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Memory

-18.3MiB live, 64.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.011705032375873739	1.287532414180027e+20
12.0ms	-352.7855663277538	-0.0010361725000509682

Samples

13.0ms

288×

valid

Compiler

Compiled 373 to 270 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 5.0ms (63.3% of total)

ival-sub: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.011705032375873739	1.287532414180027e+20
1.0ms	-352.7855663277538	-0.0010361725000509682

Compiler

Compiled 373 to 270 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	966.0913093311249
0.0ms	-84.44490869737443	-8.057701507145024e-6

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	966.0913093311249
0.0ms	-84.44490869737443	-8.057701507145024e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	167
1	49	167
2	60	167
3	66	167
4	72	167
5	74	167
6	77	167
7	79	167
8	80	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -160000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 305000000 binary64)) (-.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 x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) 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 -50 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.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 -50 binary64)) (-.f64 #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)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
(if (<=.f64 x #s(literal -160000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 305000000 binary64)) (-.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 x))))
(if (<=.f64 x #s(literal -160000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 305000000 binary64)) (+.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 x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) 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 -50 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.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 -50 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (-.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 -50 binary64)) (-.f64 #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)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #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 -50 binary64)) (+.f64 #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)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness1.3s (17.3%)

Memory

-16.2MiB live, 633.2MiB allocated

Rules

13 286×	`lower-fma.f64`
13 286×	`lower-fma.f32`
11 888×	`lower-fma.f64`
11 888×	`lower-fma.f32`
11 170×	`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	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18
0	69	616
1	201	616
2	489	608
3	1269	600
4	3318	600
5	6768	600
0	8120	587
0	18	105
0	33	95
1	159	84
2	1382	83
0	8614	83
0	86	950
1	271	924
2	769	847
3	2313	843
4	5931	843
0	8125	810

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

Compiler

Compiled 259 to 95 computations (63.3% saved)

preprocess93.0ms (1.2%)

Memory: -19.6MiB live, 92.7MiB allocated
Compiler: Compiled 388 to 110 computations (71.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze2.0ms (0%)

sample984.0ms (13%)

preprocess25.0ms (0.3%)

explain108.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize29.0ms (0.4%)

series3.0ms (0%)

rewrite180.0ms (2.4%)

simplify282.0ms (3.7%)

eval44.0ms (0.6%)

prune66.0ms (0.9%)

simplify701.0ms (9.2%)

localize94.0ms (1.2%)

series10.0ms (0.1%)

rewrite319.0ms (4.2%)

simplify363.0ms (4.8%)

eval224.0ms (2.9%)

prune159.0ms (2.1%)

simplify254.0ms (3.3%)

localize80.0ms (1%)

series4.0ms (0.1%)

rewrite61.0ms (0.8%)

simplify295.0ms (3.9%)

eval35.0ms (0.5%)

prune38.0ms (0.5%)

simplify375.0ms (4.9%)

localize84.0ms (1.1%)

series7.0ms (0.1%)

rewrite430.0ms (5.7%)

simplify410.0ms (5.4%)

eval179.0ms (2.4%)

prune177.0ms (2.3%)

regimes22.0ms (0.3%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch34.0ms (0.4%)

bsearch29.0ms (0.4%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (17.3%)

preprocess93.0ms (1.2%)

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