Metrics for Asymptote A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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)

sample1.3s (20.6%)

Memory

-29.5MiB live, 1 372.9MiB allocated

Samples

635.0ms	3 876×	1	valid
413.0ms	4 380×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 739.0ms

ival-sub: 242.0ms (32.8% of total)

ival-div: 211.0ms (28.6% of total)

ival-add: 156.0ms (21.1% of total)

adjust: 116.0ms (15.7% of total)

ival-true: 5.0ms (0.7% of total)

exact: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain95.0ms (1.5%)

Memory

-0.4MiB live, 158.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
71	1	(2.1051170005233637e+161)	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	71	0
-	1	184

Precision

0.9861111111111112

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	1	0	184

Precision?

0.9861111111111112

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	246×	1	valid
14.0ms	266×	0	valid

Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (37.4% of total)

ival-sub: 7.0ms (26.2% of total)

adjust: 5.0ms (18.7% of total)

ival-add: 4.0ms (15% of total)

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

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

exact: 0.0ms (0% of total)

preprocess26.0ms (0.4%)

Memory

1.7MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Rules

160×	`lower-fma.f64`
160×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-*.f32`
72×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Outputs

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

Symmetry

(abs x)

Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify11.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

160×	`lower-fma.f64`
160×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-*.f32`
72×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	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 #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))
x
(/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize35.0ms (0.6%)

Memory

-28.3MiB live, 57.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	14.84637042657813	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

13.0ms	123×	1	valid
8.0ms	133×	0	valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (47.5% of total)

adjust: 3.0ms (20.4% of total)

ival-sub: 3.0ms (20.4% of total)

ival-add: 2.0ms (13.6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))

0.0ms

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))

0.0ms

-inf

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))

simplify128.0ms (2%)

Memory

29.2MiB live, 184.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 646×	`lower-fma.f64`
10 646×	`lower-fma.f32`
3 680×	`lower-*.f64`
3 680×	`lower-*.f32`
1 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	405
1	220	395
2	557	373
3	1750	352
4	5230	352
0	8132	343

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite197.0ms (3.1%)

Memory

-16.2MiB live, 252.3MiB allocated

Rules

10 498×	`lower-fma.f64`
10 498×	`lower-fma.f32`
3 964×	`lower-*.f64`
3 964×	`lower-*.f32`
3 924×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	12	24
1	66	24
2	644	24
0	9039	22

Stop Event

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

Counts

4 → 702

Calls

Call 1

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

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

eval90.0ms (1.4%)

Memory: 36.3MiB live, 188.6MiB allocated
Compiler: Compiled 21 683 to 1 988 computations (90.8% saved)

prune162.0ms (2.6%)

Memory

-22.7MiB live, 219.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	742	6	748
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	743	6	749

Accuracy

98.9%

Counts

749 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
	80.2%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	48.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
▶	49.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	50.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	49.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 120 to 64 computations (46.7% saved)

simplify137.0ms (2.2%)

Memory

0.8MiB live, 193.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	192	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff	384	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	704	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))

Rules

12 836×	`lower-fma.f32`
12 832×	`lower-fma.f64`
2 562×	`lower--.f32`
2 558×	`lower--.f64`
2 556×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	162
0	36	172
1	67	172
2	147	140
3	396	122
4	785	122
5	2362	122
6	6997	122
0	8095	113

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.2%)

Memory

17.1MiB live, 136.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
accuracy	32.694465133835074	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.7934420497677174	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	30.956748650886805	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	32.663478183598095	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	32.32611870998665	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy	0	(-.f64 x #s(literal -1 binary64))
accuracy	0.00390625	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.08984375	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
accuracy	30.99929521487272	(-.f64 (-.f64 x #s(literal 1 binary64)) x)

Samples

37.0ms	129×	1	valid
18.0ms	127×	0	valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 11.0ms (29% of total)

ival-sub: 8.0ms (21.1% of total)

adjust: 6.0ms (15.8% of total)

ival-add: 6.0ms (15.8% of total)

ival-mult: 6.0ms (15.8% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-18.2MiB live, 19.2MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ (* (* x x) 2) 2) (* x x)) 2) (- x -1))

2.0ms

inf

((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ (* (* x x) 2) 2) (* x x)) 2) (- x -1))

1.0ms

((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ (* (* x x) 2) 2) (* x x)) 2) (- x -1))

simplify191.0ms (3%)

Memory

37.6MiB live, 272.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 768×	`lower-fma.f64`
15 768×	`lower-fma.f32`
4 272×	`lower-*.f64`
4 272×	`lower-*.f32`
1 726×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1242
1	188	1238
2	498	1148
3	1425	1104
4	4356	1104
0	8123	1050

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

Calls

Call 1

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

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

rewrite165.0ms (2.6%)

Memory

7.1MiB live, 278.4MiB allocated

Rules

5 256×	`lower-/.f32`
5 250×	`lower-/.f64`
4 088×	`lower-*.f32`
4 086×	`lower-*.f64`
3 178×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
0	36	137
1	186	133
2	1681	133
0	8478	128

Stop Event

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

Counts

13 → 780

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x #s(literal -4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) x)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) x)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 8 binary64))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.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 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (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 x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #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))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) 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)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #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 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(exp.f64 (log1p.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval150.0ms (2.4%)

Memory: -43.6MiB live, 292.8MiB allocated
Compiler: Compiled 28 869 to 3 038 computations (89.5% saved)

prune102.0ms (1.6%)

Memory

23.9MiB live, 265.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 038	3	1 041
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	1 039	8	1 047

Accuracy

99.9%

Counts

1 047 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
▶	80.2%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	50.3%	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
✓	48.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
✓	49.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	50.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	49.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 69 to 40 computations (42% saved)

simplify174.0ms (2.8%)

Memory

-12.4MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	192	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff	384	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
cost-diff	384	(/.f64 (/.f64 #s(literal -2 binary64) x) x)

Rules

16 354×	`lower-fma.f32`
16 352×	`lower-fma.f64`
2 894×	`lower-*.f64`
2 894×	`lower-*.f32`
2 054×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	42	133
1	66	133
2	132	97
3	340	92
4	748	92
5	2567	92
6	5776	92
7	7850	92
0	8140	92

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.5%)

Memory

6.6MiB live, 136.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal -1 binary64))
accuracy	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.08984375	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
accuracy	0	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.7309420497677174	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.99929521487272	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0	(-.f64 x #s(literal -1 binary64))
accuracy	0.08984375	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
accuracy	32.71517046245277	#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.1484375	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy	30.956748650886805	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))

Samples

37.0ms	129×	1	valid
18.0ms	127×	0	valid

Compiler

Compiled 134 to 22 computations (83.6% saved)

Precisions

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

ival-div: 18.0ms (46.2% of total)

ival-sub: 7.0ms (18% of total)

ival-add: 6.0ms (15.4% of total)

adjust: 5.0ms (12.8% of total)

ival-mult: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (/ -2 x) x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- (- (- x 1) x) 1))

1.0ms

-inf

((/ (/ -2 x) x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- (- (- x 1) x) 1))

1.0ms

((/ (/ -2 x) x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- (- (- x 1) x) 1))

simplify116.0ms (1.8%)

Memory

6.7MiB live, 120.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 626×	`lower-fma.f64`
10 626×	`lower-fma.f32`
4 456×	`lower-*.f64`
4 456×	`lower-*.f32`
1 468×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1044
1	175	1036
2	472	964
3	1354	932
4	4758	932
0	8169	902

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

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

rewrite191.0ms (3%)

Memory

-8.4MiB live, 227.6MiB allocated

Rules

5 834×	`lower-/.f32`
5 822×	`lower-/.f64`
4 040×	`lower-*.f64`
4 040×	`lower-*.f32`
3 096×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	124
0	42	121
1	193	120
2	1726	120
0	8820	118

Stop Event

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

Counts

13 → 826

Calls

Call 1

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

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

eval126.0ms (2%)

Memory: -2.1MiB live, 224.3MiB allocated
Compiler: Compiled 27 048 to 2 964 computations (89% saved)

prune117.0ms (1.8%)

Memory

-12.3MiB live, 233.4MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 106	5	1 111
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	1 108	11	1 119

Accuracy

100.0%

Counts

1 119 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	99.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
▶	98.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	50.3%	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
▶	98.9%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	54.8%	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x)))))
▶	59.9%	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓	49.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
✓	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	50.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	49.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 221 to 123 computations (44.3% saved)

simplify104.0ms (1.6%)

Memory

32.0MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x)))))
cost-diff	256	(-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
cost-diff	320	(fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
cost-diff	1344	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
cost-diff	1408	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))

Rules

8 698×	`lower-fma.f32`
8 688×	`lower-fma.f64`
3 716×	`lower-*.f32`
3 704×	`lower-*.f64`
1 534×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	358
0	56	371
1	123	340
2	339	296
3	1205	192
4	4988	192
0	8525	192

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (2%)

Memory

-20.5MiB live, 216.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
accuracy	0.06640625	(.f64 (.f64 x x) x)
accuracy	0.06914826632135991	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))
accuracy	28.429373688566333	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x)))))
accuracy	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.08984375	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	16.085009564818694	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0234375	(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
accuracy	0.06640625	(.f64 (.f64 x x) x)
accuracy	0.1187666989766181	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
accuracy	25.279334859005388	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.7309420497677174	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.00390625	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
accuracy	0.08984375	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
accuracy	16.124072064818694	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))

Samples

69.0ms	124×	1	valid
33.0ms	132×	0	valid

Compiler

Compiled 350 to 33 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 30.0ms (41.2% of total)

ival-mult: 17.0ms (23.3% of total)

ival-sub: 10.0ms (13.7% of total)

adjust: 7.0ms (9.6% of total)

ival-add: 7.0ms (9.6% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

-5.0MiB live, 32.8MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify188.0ms (3%)

Memory

9.2MiB live, 205.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 598×	`lower-fma.f64`
15 598×	`lower-fma.f32`
4 134×	`lower-*.f64`
4 134×	`lower-*.f32`
3 224×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1741
1	396	1725
2	1014	1606
3	3190	1546
4	7730	1546
0	8325	1478

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 212

Calls

Call 1

Inputs
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-2
-2
-2
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
2
(+ 2 (* 2 (pow x 4)))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
-1
(- (pow x 4) 1)
(- (pow x 4) 1)
(- (pow x 4) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
2
(+ 2 (* 2 (pow x 6)))
(+ 2 (* (pow x 6) (+ 2 (* 2 (pow x 6)))))
(+ 2 (* (pow x 6) (+ 2 (* (pow x 6) (+ 2 (* 2 (pow x 6)))))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1
(- (pow x 6) 1)
(- (pow x 6) 1)
(- (pow x 6) 1)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
-2
-2
-2
-2
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 6))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6))) 2) (pow x 6))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 12))) (+ 2 (* 2 (/ 1 (pow x 6))))) (pow x 6))
(/ 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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 6)
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
-2
-2
-2
-2
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 6))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6))) 2) (pow x 6))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 12))) (+ 2 (* 2 (/ 1 (pow x 6))))) (pow x 6))
(/ 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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 6)
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))

Outputs
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))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 4)))
(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) x) (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 6)))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 6) (+ 2 (* 2 (pow x 6)))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 6) (+ 2 (* (pow x 6) (+ 2 (* 2 (pow x 6)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
-1
#s(literal -1 binary64)
(- (pow x 6) 1)
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
(- (pow x 6) 1)
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
(- (pow x 6) 1)
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) 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))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))) #s(literal -1 binary64)))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (.f64 (.f64 x x) x) 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))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(/ -2 (pow x 6))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6))) 2) (pow x 6))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 12))) (+ 2 (* 2 (/ 1 (pow x 6))))) (pow x 6))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1 binary64))) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 6)
(.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) 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))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x x))) #s(literal -1 binary64)))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (.f64 (.f64 x x) x) 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))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)))
(/ -2 (pow x 6))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 6))) 2) (pow x 6))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 6)))) (pow x 12))) (+ 2 (* 2 (/ 1 (pow x 6))))) (pow x 6))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 6)
(.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))
(* (pow x 6) (- 1 (/ 1 (pow x 6))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))

rewrite337.0ms (5.3%)

Memory

14.4MiB live, 445.6MiB allocated

Rules

6 388×	`lower-fma.f32`
6 378×	`lower-fma.f64`
4 010×	`lower-/.f32`
3 996×	`lower-/.f64`
2 756×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	252
0	56	237
1	272	162
2	2676	162
0	8688	162

Stop Event

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

Counts

18 → 1 854

Calls

Call 1

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

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

eval305.0ms (4.8%)

Memory: 45.2MiB live, 611.8MiB allocated
Compiler: Compiled 81 469 to 3 085 computations (96.2% saved)

prune162.0ms (2.6%)

Memory

-0.7MiB live, 409.2MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	2 452	6	2 458
Fresh	0	0	0
Picked	4	1	5
Done	0	6	6
Total	2 456	13	2 469

Accuracy

100.0%

Counts

2 469 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
	50.8%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x))))
	99.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 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))))))
	91.0%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (*.f64 (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))))
	98.8%	(/.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	50.3%	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
✓	98.9%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
	7.8%	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) #s(approx (+ ( (* (* x x) x) x) (- 1 (* x (neg x)))) (.f64 (.f64 (*.f64 x x) x) x)))
	91.0%	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
✓	49.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
✓	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	50.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	49.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 443 to 149 computations (66.4% saved)

regimes18.0ms (0.3%)

Memory

-11.6MiB live, 30.2MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

11.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
6.0ms	x

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes13.0ms (0.2%)

Memory

-13.6MiB live, 25.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`x`
98.2%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory

-31.2MiB live, 7.7MiB allocated

Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Calls

2 calls:

4.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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	0.0	2.0

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	137
1	50	137
2	62	137
3	78	137
4	86	137
5	89	137
6	90	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 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(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 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(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (+.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 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness1.2s (19.5%)

Memory

6.7MiB live, 848.3MiB allocated

Rules

15 768×	`lower-fma.f64`
15 768×	`lower-fma.f32`
10 646×	`lower-fma.f64`
10 646×	`lower-fma.f32`
10 626×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1242
1	188	1238
2	498	1148
3	1425	1104
4	4356	1104
0	8123	1050
0	7	24
0	12	24
1	66	24
2	644	24
0	9039	22
0	80	405
1	220	395
2	557	373
3	1750	352
4	5230	352
0	8132	343
0	62	1044
1	175	1036
2	472	964
3	1354	932
4	4758	932
0	8169	902
0	31	252
0	56	237
1	272	162
2	2676	162
0	8688	162
0	27	124
0	42	121
1	193	120
2	1726	120
0	8820	118

Stop Event

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

Compiler

Compiled 357 to 147 computations (58.8% saved)

preprocess79.0ms (1.2%)

Memory: -25.9MiB live, 133.2MiB allocated
Compiler: Compiled 254 to 104 computations (59.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (20.6%)

explain95.0ms (1.5%)

preprocess26.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize35.0ms (0.6%)

series3.0ms (0%)

simplify128.0ms (2%)

rewrite197.0ms (3.1%)

eval90.0ms (1.4%)

prune162.0ms (2.6%)

simplify137.0ms (2.2%)

localize75.0ms (1.2%)

series11.0ms (0.2%)

simplify191.0ms (3%)

rewrite165.0ms (2.6%)

eval150.0ms (2.4%)

prune102.0ms (1.6%)

simplify174.0ms (2.8%)

localize95.0ms (1.5%)

series7.0ms (0.1%)

simplify116.0ms (1.8%)

rewrite191.0ms (3%)

eval126.0ms (2%)

prune117.0ms (1.8%)

simplify104.0ms (1.6%)

localize129.0ms (2%)

series19.0ms (0.3%)

simplify188.0ms (3%)

rewrite337.0ms (5.3%)

eval305.0ms (4.8%)

prune162.0ms (2.6%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.2s (19.5%)

preprocess79.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29