Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (17.2%)

Memory

-194.8MiB live, 1 030.5MiB allocated

Samples

384.0ms	3 905×	1	valid
190.0ms	4 351×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-div: 201.0ms (50.5% of total)

ival-add: 71.0ms (17.8% of total)

adjust: 61.0ms (15.3% of total)

ival-sub: 52.0ms (13.1% of total)

ival-true: 6.0ms (1.5% of total)

exact: 4.0ms (1% of total)

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

Bogosity

explain117.0ms (1.9%)

Memory

1.3MiB live, 122.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	72	0
-	0	184

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	242×	1	valid
12.0ms	270×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

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

ival-div: 10.0ms (45.4% of total)

adjust: 4.0ms (18.2% of total)

ival-add: 4.0ms (18.2% 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)

preprocess20.0ms (0.3%)

Memory

33.3MiB live, 33.3MiB 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) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(-.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)

simplify15.0ms (0.2%)

Memory

-31.7MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

33.7MiB live, 33.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	15.248652161078674	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

11.0ms	121×	1	valid
6.0ms	135×	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 (46.2% of total)

adjust: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

ival-sub: 2.0ms (18.5% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

-34.4MiB live, 4.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

simplify151.0ms (2.5%)

Memory

7.5MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 384×	`lower-fma.f64`
11 384×	`lower-fma.f32`
2 504×	`lower-*.f64`
2 504×	`lower-*.f32`
2 016×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite175.0ms (2.9%)

Memory

3.9MiB live, 131.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 325

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x) (-.f64 (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (-.f64 (-.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))))
(.f64 (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #s(literal 1 binary64))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x))))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)) (.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) (-.f64 (-.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x))))
(*.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)))
(pow.f64 (/.f64 x (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))))))
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(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.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)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 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)) (pow.f64 x #s(literal -1/2 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))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x 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 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval45.0ms (0.7%)

Memory: 8.6MiB live, 78.9MiB allocated
Compiler: Compiled 8 663 to 916 computations (89.4% saved)

prune93.0ms (1.5%)

Memory

-9.2MiB live, 80.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	364	7	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	365	7	372

Accuracy

100.0%

Counts

372 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
▶	99.9%	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
▶	49.0%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	61.3%	(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
	44.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)))
▶	51.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	50.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 152 to 86 computations (43.4% saved)

simplify23.0ms (0.4%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff	192	(-.f64 x x)
cost-diff	192	(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	128	(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
cost-diff	192	(-.f64 x x)
cost-diff	192	(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff	512	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)

Rules

344×	`lower-fma.f32`
342×	`lower-fma.f64`
224×	`lower-*.f32`
222×	`lower-*.f64`
120×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	135
0	36	106
1	74	106
2	123	104
3	222	104
4	417	104
5	633	104
6	687	104
7	705	104
8	708	104
0	708	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.2%)

Memory

5.8MiB live, 112.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0	(-.f64 (-.f64 x x) #s(literal 1 binary64))
accuracy	0	(-.f64 x x)
accuracy	0.4432606656630113	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	0	(*.f64 x x)
accuracy	0.5213856656630114	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	30.68407385703791	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	15.248652161078674	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	32.305816876431166	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	31.625994900348456	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
accuracy	0.078125	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)

Samples

33.0ms	121×	1	valid
21.0ms	135×	0	valid

Compiler

Compiled 125 to 20 computations (84% saved)

Precisions

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

ival-div: 18.0ms (46.7% of total)

adjust: 6.0ms (15.6% of total)

ival-add: 6.0ms (15.6% of total)

ival-sub: 5.0ms (13% of total)

ival-mult: 3.0ms (7.8% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

-39.7MiB live, 9.9MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify151.0ms (2.5%)

Memory

22.6MiB live, 133.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 258×	`lower-fma.f64`
15 258×	`lower-fma.f32`
3 096×	`lower-*.f64`
3 096×	`lower-*.f32`
1 366×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1263
1	193	1181
2	476	1128
3	1650	1062
4	6178	1062
0	8159	1042

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

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

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

rewrite81.0ms (1.3%)

Memory

5.1MiB live, 91.1MiB allocated

Rules

550×	`lower-/.f32`
538×	`lower-/.f64`
492×	`lower-fma.f32`
490×	`lower-fma.f64`
398×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	36	93
1	197	83
0	1324	83

Stop Event

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

Counts

16 → 265

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x (neg.f64 x)))) (fma.f64 x x (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.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 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(.f64 (fma.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)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(*.f64 (/.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) x)) (/.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 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (/.f64 #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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 0 binary64))))
(/.f64 (fma.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)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.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 x x)))) (neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(/.f64 (neg.f64 (fma.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)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x x)) (.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (-.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 x x))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)))
(/.f64 (fma.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)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #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 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x 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 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (fma.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)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(-.f64 (/.f64 (.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 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(+.f64 (/.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) x)) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
#s(literal -1 binary64)
#s(literal 0 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.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 0 binary64) (.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 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))) (neg.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.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 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 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 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))))
(neg.f64 (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))

eval58.0ms (0.9%)

Memory: -20.8MiB live, 98.6MiB allocated
Compiler: Compiled 6 234 to 612 computations (90.2% saved)

prune57.0ms (0.9%)

Memory

7.8MiB live, 84.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	477	5	482
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	480	9	489

Accuracy

100.0%

Counts

489 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
	68.4%	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x))))))) x)
▶	99.3%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
▶	52.0%	(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x)
✓	49.0%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	61.3%	(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
▶	44.6%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)))
✓	51.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	50.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 189 to 107 computations (43.4% saved)

simplify125.0ms (2%)

Memory

20.3MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x))
cost-diff	192	(-.f64 x x)
cost-diff	192	(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff	320	(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x)
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
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	512	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)

Rules

6 330×	`lower-fma.f32`
6 326×	`lower-fma.f64`
3 114×	`lower-*.f32`
3 106×	`lower-*.f64`
1 220×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	192
0	51	156
1	111	145
2	259	138
3	590	137
4	1866	137
5	4744	137
6	6236	137
7	7234	137
0	8009	137

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.7%)

Memory

-9.8MiB live, 113.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
accuracy	0.0625	(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
accuracy	0.3084173517165736	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x))
accuracy	22.843952992398176	(.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	4.542409585642346	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
accuracy	30.911767352414337	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.078125	(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x)
accuracy	30.7509007769192	#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(fma.f64 x x x)
accuracy	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy	0.4432606656630113	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
accuracy	0.078125	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)

Samples

56.0ms

256×

valid

Compiler

Compiled 182 to 25 computations (86.3% saved)

Precisions

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

ival-sub: 18.0ms (43.2% of total)

ival-div: 13.0ms (31.2% of total)

ival-mult: 6.0ms (14.4% of total)

ival-add: 3.0ms (7.2% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-9.3MiB live, 28.0MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify186.0ms (3%)

Memory

37.1MiB live, 193.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 692×	`lower-fma.f64`
15 692×	`lower-fma.f32`
4 726×	`lower-*.f64`
4 726×	`lower-*.f32`
2 526×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1504
1	360	1395
2	959	1330
3	4192	1321
0	8195	1300

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
-1
-1
-1
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* x (- (* -1 x) 1)) 1) x)
(/ (- (* x (- (* x (- x 1)) 1)) 1) x)
-1
-1
-1
-1
0
0
0
0
(/ -1 x)
(/ (- (pow x 3) 1) x)
(/ (- (* (pow x 3) (+ 1 (* -1 (pow x 3)))) 1) x)
(/ (- (* (pow x 3) (+ 1 (* (pow x 3) (- (pow x 3) 1)))) 1) x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(+ 1 (pow x 3))
x
(* x (+ 1 (pow x 3)))
(* x (+ 1 (pow x 3)))
(* x (+ 1 (pow x 3)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
-1
-1
-1
-1
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (pow x 2))
(/ (- (/ 1 (pow x 3)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (pow x 2))
-1
-1
-1
-1
0
0
0
0
(/ -1 (pow x 4))
(/ (- (/ 1 (pow x 3)) 1) (pow x 4))
(/ (- (/ 1 (pow x 3)) (+ 1 (/ 1 (pow x 6)))) (pow x 4))
(/ (- (+ (/ 1 (pow x 3)) (/ 1 (pow x 9))) (+ 1 (/ 1 (pow x 6)))) (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
-1
-1
-1
-1
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) 1) (pow x 2))
-1
-1
-1
-1
0
0
0
0
(/ -1 (pow x 4))
(/ (- (/ 1 (pow x 3)) 1) (pow x 4))
(/ (- (* -1 (/ (- (/ 1 (pow x 3)) 1) (pow x 3))) 1) (pow x 4))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 3)) 1) (pow x 3))) 1) (pow x 3))) 1) (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))

Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x 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)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* x (- (* -1 x) 1)) 1) x)
(-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (- (* x (- x 1)) 1)) 1) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow x 3) 1) x)
(fma.f64 x x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 3) (+ 1 (* -1 (pow x 3)))) 1) x)
(fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 x x) x) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 3) (+ 1 (* (pow x 3) (- (pow x 3) 1)))) 1) x)
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) x #s(literal -1 binary64)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.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)
1
#s(literal 1 binary64)
(+ 1 (pow x 3))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
x
(* x (+ 1 (pow x 3)))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(* x (+ 1 (pow x 3)))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(* x (+ 1 (pow x 3)))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.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 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) 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 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) x) #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 (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 (.f64 x x) x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.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 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.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 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) 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 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.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 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(/ (- (/ 1 (pow x 3)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) (.f64 x x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 (pow x 4))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (/ 1 (pow x 3)) 1) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (/ 1 (pow x 3)) (+ 1 (/ 1 (pow x 6)))) (pow x 4))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (+ (/ 1 (pow x 3)) (/ 1 (pow x 9))) (+ 1 (/ 1 (pow x 6)))) (pow x 4))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (.f64 (.f64 x 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 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) 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 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) x) #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 (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 (.f64 x x) x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) 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 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (.f64 x x) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) 1) (pow x 2))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 (pow x 4))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (/ 1 (pow x 3)) 1) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 (pow x 3)) 1) (pow x 3))) 1) (pow x 4))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 3)) 1) (pow x 3))) 1) (pow x 3))) 1) (pow x 4))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))))) (.f64 (.f64 x 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 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)
(* (pow x 4) (+ 1 (/ 1 (pow x 3))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x)

rewrite249.0ms (4.1%)

Memory

-30.9MiB live, 363.2MiB allocated

Rules

5 208×	`lower-*.f32`
5 200×	`lower-*.f64`
5 196×	`lower-/.f32`
5 182×	`lower-/.f64`
3 646×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	51	122
1	237	115
2	1575	115
0	8718	115

Stop Event

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

Counts

20 → 1 175

Calls

Call 1

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

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

eval301.0ms (4.9%)

Memory: 34.6MiB live, 331.2MiB allocated
Compiler: Compiled 57 168 to 3 761 computations (93.4% saved)

prune503.0ms (8.2%)

Memory

1.8MiB live, 302.5MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 481	5	1 486
Fresh	1	0	1
Picked	2	3	5
Done	0	3	3
Total	1 484	11	1 495

Accuracy

100.0%

Counts

1 495 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
▶	99.3%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
✓	52.0%	(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x)
✓	49.0%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	13.7%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
▶	15.0%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))))
✓	44.6%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)))
▶	44.9%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)))
✓	51.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	50.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	49.9%	#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))

Compiler

Compiled 177 to 87 computations (50.8% saved)

simplify159.0ms (2.6%)

Memory

-6.4MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
cost-diff	128	(.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff	256	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))))
cost-diff	128	(.f64 (.f64 (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal -1 binary64) x) x)
cost-diff	0	#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
cost-diff	128	(+.f64 (*.f64 x x) x)

Rules

16 642×	`lower-fma.f32`
16 640×	`lower-fma.f64`
4 344×	`lower-*.f32`
4 336×	`lower-*.f64`
2 712×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	276
0	58	252
1	139	221
2	392	213
3	1313	212
4	4120	212
0	8396	212

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1.7%)

Memory

-9.3MiB live, 67.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	24.058484923521554	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
accuracy	30.911767352414337	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
accuracy	0.03515625	(.f64 (.f64 (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	23.272145961913537	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))
accuracy	30.911767352414337	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	4.542409585642346	(/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))
accuracy	30.454257167180987	#s(approx (- 1 x) (neg.f64 x))
accuracy	30.911767352414337	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal -1 binary64) x) x)
accuracy	31.97690365632305	#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy	0.01171875	(+.f64 (*.f64 x x) x)
accuracy	0.4432606656630113	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))

Samples

66.0ms

256×

valid

Compiler

Compiled 222 to 28 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sub: 29.0ms (55.2% of total)

ival-div: 9.0ms (17.1% of total)

ival-mult: 8.0ms (15.2% of total)

ival-add: 4.0ms (7.6% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (+.f64 (.f64 x x) x) (patch (+.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) x) (patch (+.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) x) (patch (+.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) x) (patch (+.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -1 x) 1)) 1) x) (taylor 0 x) (#s(alt #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* x (- x 1)) 1)) 1) x) (taylor 0 x) (#s(alt #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (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 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (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 (* -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>) () ())) ())
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#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (+.f64 x #s(literal 1 binary64)))) #<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) (- (/ 1 (pow x 2)) 1)) (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) (- (/ 1 (pow x 2)) 1)) (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) (- (/ 1 (pow x 2)) 1)) (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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ ( x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ ( x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ ( x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (patch #s(approx (/ (- (- x x) 1) (+ ( x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify198.0ms (3.2%)

Memory

-11.7MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
3 412×	`lower-*.f64`
3 412×	`lower-*.f32`
3 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1508
1	292	1406
2	752	1338
3	2993	1334
4	7488	1334
0	8134	1314

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
-1
-1
-1
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* x (- (* -1 x) 1)) 1) x)
(/ (- (* x (- (* x (- x 1)) 1)) 1) x)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 3)
(* (pow x 3) (+ 1 x))
(* (pow x 3) (+ 1 x))
(* (pow x 3) (+ 1 x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 x))
(* (pow x 3) (+ 1 (* x (+ 1 x))))
(* (pow x 3) (+ 1 (* x (+ 1 x))))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
-1
-1
-1
-1
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (pow x 2))
(/ (- (/ 1 (pow x 3)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (pow x 2))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 x)))
(* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
-1
-1
-1
-1
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) 1) (pow x 2))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(* -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)
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

rewrite210.0ms (3.4%)

Memory

7.4MiB live, 138.2MiB allocated

Rules

4 832×	`lower-/.f32`
4 822×	`lower-/.f64`
4 336×	`lower-*.f32`
4 328×	`lower-*.f64`
2 732×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	235
0	58	179
1	277	152
2	2082	152
0	8329	152

Stop Event

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

Counts

20 → 810

Calls

Call 1

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

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

eval149.0ms (2.4%)

Memory: 22.1MiB live, 289.0MiB allocated
Compiler: Compiled 31 334 to 1 903 computations (93.9% saved)

prune148.0ms (2.4%)

Memory

-30.2MiB live, 304.3MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 231	3	1 234
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	1 233	12	1 245

Accuracy

100.0%

Counts

1 245 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓	99.3%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
✓	52.0%	(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x)
✓	49.0%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	12.7%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(approx (* (* (* x x) x) (+ (+ (* x x) x) 1)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))))
	15.5%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx ( (* (* x x) x) (+ x 1)) (.f64 (.f64 (*.f64 x x) x) x))))
✓	44.6%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)))
✓	44.9%	#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 x x) x)))
✓	51.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	50.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	49.9%	#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
	3.8%	#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) #s(approx (/ (- -1 x) x) #s(literal -1 binary64)))

Compiler

Compiled 347 to 113 computations (67.4% saved)

regimes14.0ms (0.2%)

Memory

-7.8MiB live, 31.5MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes8.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory

-27.6MiB live, 12.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
97.5%	3	`x`
97.5%	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)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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
50.6%	1	`x`
50.6%	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)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
3.8%	1	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	649093142193.6904
0.0ms	-14883304764473.213	-0.004359591735795268

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.1%)

Memory

-24.6MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	124
1	52	124
2	62	124
3	68	124
4	74	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10000000000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) #s(approx (/ (- -1 x) x) #s(literal -1 binary64)))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10000000000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (/ (- (- x x) 1) (* (+ (* (* x x) x) 1) x)) (+ (+ (* x x) x) 1)) #s(approx (/ (- -1 x) x) #s(literal -1 binary64)))

soundness1.4s (22.8%)

Memory

43.1MiB live, 922.6MiB allocated

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
15 692×	`lower-fma.f64`
15 692×	`lower-fma.f32`
15 258×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1263
1	193	1181
2	476	1128
3	1650	1062
4	6178	1062
0	8159	1042
0	53	305
1	150	286
2	351	274
3	1021	268
4	3180	263
5	5260	262
6	6620	262
7	7436	262
8	7938	262
0	8035	260
0	99	1508
1	292	1406
2	752	1338
3	2993	1334
4	7488	1334
0	8134	1314
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18
0	128	1504
1	360	1395
2	959	1330
3	4192	1321
0	8195	1300
0	23	116
0	36	93
1	197	83
0	1324	83

Stop Event

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

Compiler

Compiled 136 to 64 computations (52.9% saved)

preprocess55.0ms (0.9%)

Memory: -8.8MiB live, 151.3MiB allocated
Compiler: Compiled 180 to 80 computations (55.6% 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	23	135
0	36	106
1	74	106
2	123	104
3	222	104
4	417	104
5	633	104
6	687	104
7	705	104
8	708	104
0	708	104

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	23	135
0	36	106
1	74	106
2	123	104
3	222	104
4	417	104
5	633	104
6	687	104
7	705	104
8	708	104
0	708	104

start0.0ms (0%)

analyze2.0ms (0%)

sample1.1s (17.2%)

explain117.0ms (1.9%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

simplify151.0ms (2.5%)

rewrite175.0ms (2.9%)

eval45.0ms (0.7%)

prune93.0ms (1.5%)

simplify23.0ms (0.4%)

localize72.0ms (1.2%)

series30.0ms (0.5%)

simplify151.0ms (2.5%)

rewrite81.0ms (1.3%)

eval58.0ms (0.9%)

prune57.0ms (0.9%)

simplify125.0ms (2%)

localize106.0ms (1.7%)

series15.0ms (0.2%)

simplify186.0ms (3%)

rewrite249.0ms (4.1%)

eval301.0ms (4.9%)

prune503.0ms (8.2%)

simplify159.0ms (2.6%)

localize103.0ms (1.7%)

series14.0ms (0.2%)

simplify198.0ms (3.2%)

rewrite210.0ms (3.4%)

eval149.0ms (2.4%)

prune148.0ms (2.4%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.4s (22.8%)

preprocess55.0ms (0.9%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	23	135
0	36	106
1	74	106
2	123	104
3	222	104
4	417	104
5	633	104
6	687	104
7	705	104
8	708	104
0	708	104