Metrics for Asymptote B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample594.0ms (12.8%)

Memory

46.9MiB live, 744.4MiB allocated

Samples

381.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 109.0ms (44.3% of total)

ival-add: 80.0ms (32.5% of total)

ival-sub: 45.0ms (18.3% of total)

ival-true: 6.0ms (2.4% of total)

exact: 4.0ms (1.6% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain100.0ms (2.1%)

Memory

-37.0MiB live, 145.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 12.0ms (59.5% of total)

ival-add: 4.0ms (19.8% of total)

ival-sub: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`sub-neg`
52×	`distribute-lft-neg-in`
50×	`associate-l`
44×	`cancel-sign-sub-inv`
44×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	138	22
4	258	22
5	428	22
6	457	22
7	471	22
8	484	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11

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

Outputs

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

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify7.0ms (0.1%)

Memory

-28.4MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`lower-+.f32`
8×	`lower-+.f64`
6×	`+-commutative`
4×	`lift-+.f64`
4×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	19	29
2	20	29
0	20	29

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

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

localize25.0ms (0.5%)

Memory

20.5MiB live, 55.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Samples

17.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (42.3% of total)

ival-add: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (pow x 2)) 1) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<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 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 (- (* x (- (* -1 x) 1)) 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 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) 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 (pow x 2)) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) 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)) 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 (pow x 2)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 x))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- x 1)))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

15 calls:

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

simplify190.0ms (4.1%)

Memory

4.6MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 362×	`lower-fma.f64`
11 362×	`lower-fma.f32`
2 676×	`lower-*.f64`
2 676×	`lower-*.f32`
2 128×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	387
1	211	385
2	469	374
3	1227	354
4	3243	348
5	6363	346
6	7706	346
0	8031	338

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 55

Calls

Call 1

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

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

rewrite261.0ms (5.6%)

Memory

-10.8MiB live, 299.1MiB allocated

Rules

9 718×	`lower-fma.f64`
9 718×	`lower-fma.f32`
4 480×	`lower-*.f64`
4 480×	`lower-*.f32`
3 656×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	12	27
1	66	27
2	701	27
0	9606	27

Stop Event

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

Counts

5 → 561

Calls

Call 1

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

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

eval110.0ms (2.4%)

Memory: 11.9MiB live, 140.1MiB allocated
Compiler: Compiled 15 383 to 1 711 computations (88.9% saved)

prune100.0ms (2.2%)

Memory

3.0MiB live, 190.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	609	7	616
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	610	7	617

Accuracy

100.0%

Counts

617 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
	71.1%	(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
	44.4%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)))
▶	44.4%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
▶	56.0%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
▶	55.9%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
▶	44.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 130 to 78 computations (40% saved)

simplify214.0ms (4.6%)

Memory

23.8MiB live, 302.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	256	(fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))
cost-diff	256	(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))

Rules

15 308×	`lower-fma.f32`
15 302×	`lower-fma.f64`
2 614×	`lower-*.f32`
2 612×	`lower-*.f64`
2 426×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	37	133
1	61	133
2	88	133
3	150	127
4	373	127
5	1170	127
6	3960	127
7	7499	127
0	8133	117

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (4.2%)

Memory

-36.5MiB live, 103.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.2681322004603849	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	28.175856525106994	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
accuracy	35.602087433498305	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
accuracy	28.20946262220087	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
accuracy	35.369694896541766	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))
accuracy	17.922078577761074	(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))

Samples

175.0ms

256×

valid

Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-neg: 99.0ms (68.8% of total)

ival-div: 28.0ms (19.5% of total)

ival-add: 6.0ms (4.2% of total)

ival-mult: 6.0ms (4.2% of total)

ival-sub: 4.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) (patch #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)) (patch #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (patch #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (patch #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (pow x 2)) 1) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#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 (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 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>) () ())) ())
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#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* -2 (* x x)) -1)
0.0ms	x	@	0	(/ 2 (* x x))
0.0ms	x	@	-inf	(+ (* x (- 1 x)) (- -1 x))
0.0ms	x	@	0	(/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1))
0.0ms	x	@	inf	(/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1))

simplify213.0ms (4.6%)

Memory

10.8MiB live, 239.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 798×	`lower-fma.f64`
12 798×	`lower-fma.f32`
3 196×	`lower-*.f64`
3 196×	`lower-*.f32`
2 640×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1015
1	126	1006
2	317	988
3	760	968
4	1409	958
5	3627	958
6	6814	958
0	8138	921

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite262.0ms (5.6%)

Memory

-15.8MiB live, 293.5MiB allocated

Rules

5 352×	`lower-*.f32`
5 350×	`lower-*.f64`
5 154×	`lower-/.f32`
5 150×	`lower-/.f64`
3 130×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	114
0	37	114
1	180	114
2	1734	114
0	8712	112

Stop Event

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

Counts

13 → 380

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))))
(neg.f64 (/.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
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(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -2 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.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 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

eval115.0ms (2.5%)

Memory: -11.9MiB live, 120.0MiB allocated
Compiler: Compiled 12 518 to 1 285 computations (89.7% saved)

prune67.0ms (1.4%)

Memory

17.9MiB live, 137.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	556	2	558
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	559	6	565

Accuracy

100.0%

Counts

565 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
▶	44.4%	#s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)))
✓	44.4%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
✓	56.0%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	55.9%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
✓	44.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify204.0ms (4.4%)

Memory

30.6MiB live, 290.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x (*.f64 x x) x)
cost-diff	0	(.f64 x (fma.f64 x (.f64 x x) x))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)))

Rules

10 996×	`lower-fma.f32`
10 990×	`lower-fma.f64`
2 908×	`lower-*.f32`
2 904×	`lower-*.f64`
2 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	33	108
1	62	108
2	119	108
3	247	96
4	531	96
5	1346	96
6	4396	96
0	8352	91

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (1.1%)

Memory

-12.4MiB live, 78.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	17.922078577761074	(/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(.f64 x (fma.f64 x (.f64 x x) x))
accuracy	0.0546875	(fma.f64 x (*.f64 x x) x)
accuracy	35.606952333044184	#s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 97 to 21 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (45.9% of total)

ival-sub: 4.0ms (20.4% of total)

ival-add: 4.0ms (20.4% of total)

ival-div: 2.0ms (10.2% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-30.4MiB live, 8.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -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 (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (pow x 2)) 1) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) (patch #s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (pow x 2))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (pow x 2))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (pow x 2))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x x) x)) (patch (.f64 x (fma.f64 x (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) x) (patch (fma.f64 x (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (pow x 2)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (+ ( x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<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 (pow x 2)) 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 (pow x 2)) 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 (pow x 2)) 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 (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) (+ 1 (/ 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) (+ 1 (/ 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) (+ 1 (/ 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) (+ 1 (/ 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) (+ 1 (/ 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) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* -2 (* x (+ (* x (* x x)) x))) -1)
0.0ms	x	@	0	(+ (* -2 (* x (+ (* x (* x x)) x))) -1)
0.0ms	x	@	0	(* x (+ (* x (* x x)) x))
0.0ms	x	@	inf	(* x (+ (* x (* x x)) x))
0.0ms	x	@	-inf	(+ (* -2 (* x (+ (* x (* x x)) x))) -1)

simplify247.0ms (5.3%)

Memory

29.8MiB live, 309.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 140×	`lower-fma.f64`
15 140×	`lower-fma.f32`
4 998×	`lower-*.f64`
4 998×	`lower-*.f32`
1 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	726
1	141	690
2	337	650
3	1338	650
4	4642	642
0	8106	594

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

Calls

Call 1

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

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

rewrite282.0ms (6.1%)

Memory

-0.2MiB live, 349.8MiB allocated

Rules

7 958×	`lower-fma.f32`
7 952×	`lower-fma.f64`
3 838×	`lower-/.f32`
3 836×	`lower-/.f64`
3 442×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
0	33	94
1	146	94
2	1149	94
0	9083	83

Stop Event

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

Counts

9 → 369

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64))))
(+.f64 (.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))))
(fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x (.f64 x x) x) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) (.f64 (fma.f64 x (.f64 x x) x) (fma.f64 x (.f64 x x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 x #s(literal -2 binary64))) (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal -1 binary64))) (fma.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64))))) (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (*.f64 x x) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal -1 binary64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x))) (.f64 x (.f64 (fma.f64 x (.f64 x x) x) #s(literal -2 binary64)))))))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
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(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) #s(literal 0 binary64))
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(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (-.f64 (.f64 x x) #s(literal 0 binary64)))
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(*.f64 x x)
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(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
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(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
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(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(neg.f64 x)
(neg.f64 (/.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 x x) (neg.f64 x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (neg.f64 x))) (neg.f64 (*.f64 x x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))

eval99.0ms (2.1%)

Memory: -11.1MiB live, 158.5MiB allocated
Compiler: Compiled 11 920 to 1 168 computations (90.2% saved)

prune83.0ms (1.8%)

Memory

7.3MiB live, 131.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	521	0	521
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	521	6	527

Accuracy

100.0%

Counts

527 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(/.f64 #s(approx (+ (* x (- 1 x)) (- -1 x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
✓	44.4%	#s(approx (/ (+ (* x (- 1 x)) (- -1 x)) (+ (* x (neg x)) 1)) (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal -1 binary64)))
✓	44.4%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
✓	56.0%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	55.9%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
✓	44.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 143 to 61 computations (57.3% saved)

regimes7.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes16.0ms (0.3%)

Memory

-32.4MiB live, 6.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

12.0ms	x
3.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.7%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.5%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
44.7%	1	`x`
44.7%	1	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9999999999999999

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9999999999999999

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9999999999999999

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9999999999999999

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-1.0	0.9999999999999999

Samples

0.0ms

16×

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify8.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	270
1	57	270
2	66	270
3	74	270
4	75	270

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (22.6%)

Memory

-34.4MiB live, 455.9MiB allocated

Rules

12 798×	`lower-fma.f64`
12 798×	`lower-fma.f32`
11 362×	`lower-fma.f64`
11 362×	`lower-fma.f32`
9 718×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	387
1	211	385
2	469	374
3	1227	354
4	3243	348
5	6363	346
6	7706	346
0	8031	338
0	7	27
0	12	27
1	66	27
2	701	27
0	9606	27
0	52	1015
1	126	1006
2	317	988
3	760	968
4	1409	958
5	3627	958
6	6814	958
0	8138	921

Stop Event

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

Compiler

Compiled 234 to 85 computations (63.7% saved)

preprocess92.0ms (2%)

Memory: 13.2MiB live, 93.2MiB allocated
Compiler: Compiled 328 to 68 computations (79.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	138	22
4	258	22
5	428	22
6	457	22
7	471	22
8	484	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	138	22
4	258	22
5	428	22
6	457	22
7	471	22
8	484	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11

start0.0ms (0%)

analyze2.0ms (0%)

sample594.0ms (12.8%)

explain100.0ms (2.1%)

preprocess21.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

simplify190.0ms (4.1%)

rewrite261.0ms (5.6%)

eval110.0ms (2.4%)

prune100.0ms (2.2%)

simplify214.0ms (4.6%)

localize197.0ms (4.2%)

series8.0ms (0.2%)

simplify213.0ms (4.6%)

rewrite262.0ms (5.6%)

eval115.0ms (2.5%)

prune67.0ms (1.4%)

simplify204.0ms (4.4%)

localize50.0ms (1.1%)

series6.0ms (0.1%)

simplify247.0ms (5.3%)

rewrite282.0ms (6.1%)

eval99.0ms (2.1%)

prune83.0ms (1.8%)

regimes7.0ms (0.2%)

regimes16.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.2%)

soundness1.0s (22.6%)

preprocess92.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	138	22
4	258	22
5	428	22
6	457	22
7	471	22
8	484	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11