Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample913.0ms (11%)

Memory

24.3MiB live, 1 286.2MiB allocated

Samples

452.0ms	3 841×	1	valid
234.0ms	4 415×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 479.0ms

ival-div: 192.0ms (40.1% of total)

ival-add: 127.0ms (26.5% of total)

adjust: 83.0ms (17.3% of total)

ival-sub: 64.0ms (13.4% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1% of total)

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

Bogosity

explain110.0ms (1.3%)

Memory

6.6MiB live, 121.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`	cancellation	70	0

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	230×	1	valid
15.0ms	282×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 31.0ms (63.2% of total)

ival-div: 10.0ms (20.4% of total)

adjust: 4.0ms (8.2% of total)

ival-sub: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess27.0ms (0.3%)

Memory

-5.1MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB 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
▶	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify10.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-2.2MiB live, 34.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	14.799707919844339	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

35.0ms	115×	1	valid
6.0ms	141×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-div: 5.0ms (40.9% of total)

ival-add: 4.0ms (32.7% of total)

adjust: 2.0ms (16.4% of total)

ival-sub: 2.0ms (16.4% 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

2.8MiB live, 2.8MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify204.0ms (2.5%)

Memory

4.6MiB live, 206.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	305
1	150	286
2	351	274
3	1017	268
4	3170	263
5	5268	262
6	6646	262
7	7448	262
8	7950	262
0	8009	260

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite166.0ms (2%)

Memory

-9.6MiB live, 185.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 325

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)))
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x)))))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
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eval52.0ms (0.6%)

Memory: 10.8MiB live, 92.7MiB allocated
Compiler: Compiled 8 663 to 912 computations (89.5% saved)

prune74.0ms (0.9%)

Memory

-19.8MiB live, 135.4MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	357	14	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	357	15	372

Accuracy

98.7%

Counts

372 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
▶	76.9%	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
	20.9%	(/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))))
	30.9%	(/.f64 (-.f64 (.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))) (+.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
▶	30.3%	(/.f64 (-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
	76.9%	(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
✓	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	55.4%	(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 1 binary64) x))
▶	52.4%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	52.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	39.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
▶	48.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	52.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 544 to 208 computations (61.8% saved)

simplify420.0ms (5.1%)

Memory

25.5MiB live, 564.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(*.f64 x (fma.f64 x x x))
cost-diff	1216	(/.f64 (-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
cost-diff	1280	(-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
cost-diff	128	(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
cost-diff	576	(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
cost-diff	1088	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))

Rules

32 518×	`lower-fma.f32`
32 514×	`lower-fma.f64`
4 494×	`lower-*.f32`
4 486×	`lower-*.f64`
2 000×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	229
0	51	232
1	104	223
2	251	189
3	995	172
4	5058	172
0	8494	172

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

22.2MiB live, 173.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(*.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0625	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
accuracy	29.406654452370525	(-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)))
accuracy	37.55892954988462	(/.f64 (-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
accuracy	0	(*.f64 x x)
accuracy	0.8351828669246373	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
accuracy	13.87577611594393	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
accuracy	32.335178360191236	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	14.799707919844339	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	30.9511133272087	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	30.001476983088363	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
accuracy	0.8000266169246373	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
accuracy	13.807748625712373	(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
accuracy	27.826388954728703	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))

Samples

44.0ms	119×	1	valid
30.0ms	137×	0	valid

Compiler

Compiled 223 to 28 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 16.0ms (32.7% of total)

ival-mult: 11.0ms (22.5% of total)

ival-add: 9.0ms (18.4% of total)

adjust: 7.0ms (14.3% of total)

ival-sub: 4.0ms (8.2% of total)

ival-neg: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.8%)

Memory

-34.9MiB live, 68.5MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	(/ -1 x)
4.0ms	x	@	inf	(* x (+ (* x x) x))
1.0ms	x	@	-inf	(neg (/ (+ 1 x) (+ (* x x) x)))
1.0ms	x	@	0	(/ (+ 1 x) (+ (* x x) x))
1.0ms	x	@	inf	(neg (/ (+ 1 x) (+ (* x x) x)))

simplify238.0ms (2.9%)

Memory

4.2MiB live, 344.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 416×	`lower-fma.f64`
17 416×	`lower-fma.f32`
3 548×	`lower-*.f64`
3 548×	`lower-*.f32`
1 420×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1794
1	319	1692
2	855	1623
3	2542	1557
4	6475	1555
0	8178	1483

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

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

rewrite411.0ms (4.9%)

Memory

-9.3MiB live, 480.0MiB allocated

Rules

4 434×	`lower-/.f32`
4 420×	`lower-/.f64`
4 170×	`lower-fma.f32`
4 166×	`lower-fma.f64`
2 918×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
0	51	191
1	258	173
2	2515	172
0	8211	163

Stop Event

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

Counts

21 → 1 070

Calls

Call 1

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

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

eval234.0ms (2.8%)

Memory: 49.1MiB live, 385.8MiB allocated
Compiler: Compiled 56 606 to 3 858 computations (93.2% saved)

prune253.0ms (3%)

Memory

-14.9MiB live, 426.2MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 772	8	1 780
Fresh	8	1	9
Picked	3	2	5
Done	0	1	1
Total	1 783	12	1 795

Accuracy

100.0%

Counts

1 795 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
▶	78.2%	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
▶	78.2%	(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))
▶	13.1%	(/.f64 #s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (.f64 x x))) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	52.4%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	52.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	39.1%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	47.7%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) x))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	52.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 232 to 126 computations (45.7% saved)

simplify277.0ms (3.3%)

Memory

-15.9MiB live, 310.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 (*.f64 x x))
cost-diff	0	#s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (*.f64 x x)))
cost-diff	0	(/.f64 #s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (.f64 x x))) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(neg.f64 x)
cost-diff	128	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
cost-diff	512	(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(+.f64 #s(literal -1 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))
cost-diff	384	(+.f64 x (-.f64 #s(literal -1 binary64) x))

Rules

17 864×	`lower-fma.f32`
17 862×	`lower-fma.f64`
2 338×	`lower-+.f32`
2 334×	`lower-+.f64`
2 292×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	203
0	53	208
1	115	198
2	309	164
3	877	161
4	3561	161
5	7234	161
0	8023	161

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.7%)

Memory

12.9MiB live, 129.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (*.f64 x x))
accuracy	0.0625	(*.f64 (fma.f64 x x x) (fma.f64 x x x))
accuracy	31.925672705404224	#s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (*.f64 x x)))
accuracy	37.55892954988462	(/.f64 #s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (.f64 x x))) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
accuracy	0	(neg.f64 x)
accuracy	0.03125	(*.f64 (-.f64 #s(literal -1 binary64) x) x)
accuracy	0.8000266169246373	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
accuracy	27.858741794612207	(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
accuracy	0	(+.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy	30.737867835581444	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	14.799707919844339	(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
accuracy	30.886186730435444	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	30.9511133272087	#s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	0	(fma.f64 x x x)
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.8000266169246373	(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))
accuracy	27.858741794612207	(+.f64 x (-.f64 #s(literal -1 binary64) x))

Samples

46.0ms	118×	1	valid
24.0ms	138×	0	valid

Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 14.0ms (27% of total)

ival-div: 11.0ms (21.2% of total)

ival-add: 9.0ms (17.3% of total)

ival-sub: 8.0ms (15.4% of total)

adjust: 7.0ms (13.5% of total)

ival-neg: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

63 calls:

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

simplify363.0ms (4.4%)

Memory

-16.2MiB live, 258.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 746×	`lower-fma.f64`
13 746×	`lower-fma.f32`
3 228×	`lower-*.f64`
3 228×	`lower-*.f32`
1 542×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1488
1	282	1417
2	765	1332
3	2851	1292
4	6737	1292
0	8112	1264

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

Calls

Call 1

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

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

rewrite475.0ms (5.7%)

Memory

37.3MiB live, 314.9MiB allocated

Rules

6 664×	`lower-fma.f32`
6 662×	`lower-fma.f64`
3 744×	`lower-/.f32`
3 736×	`lower-/.f64`
2 654×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	183
0	53	174
1	264	161
2	2531	161
0	9961	156

Stop Event

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

Counts

21 → 1 162

Calls

Call 1

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

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

eval353.0ms (4.2%)

Memory: 0.5MiB live, 343.2MiB allocated
Compiler: Compiled 41 365 to 3 134 computations (92.4% saved)

prune224.0ms (2.7%)

Memory

-13.6MiB live, 398.3MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 834	7	1 841
Fresh	1	3	4
Picked	4	1	5
Done	1	2	3
Total	1 840	13	1 853

Accuracy

100.0%

Counts

1 853 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x x) x))
▶	13.0%	(/.f64 #s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (.f64 x x))) #s(approx ( (+ (* x x) x) (+ (* x x) x)) (.f64 x (.f64 x (*.f64 x x)))))
▶	98.7%	(/.f64 #s(approx (+ x (- -1 x)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	52.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	13.1%	(.f64 (neg.f64 #s(approx (- ( x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))))
▶	39.1%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	47.7%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) x))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	2.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
	2.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
▶	2.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))

Compiler

Compiled 243 to 119 computations (51% saved)

simplify357.0ms (4.3%)

Memory

-4.7MiB live, 506.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

25 130×	`lower-fma.f32`
25 126×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 242×	`lower-*.f64`
3 006×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	270
0	49	260
1	113	239
2	284	203
3	1060	197
4	5429	197
0	9045	197

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.4%)

Memory

13.8MiB live, 163.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	16.3463345413823	#s(approx (* (+ (* x x) x) (+ (* x x) x)) (.f64 x (.f64 x (*.f64 x x))))
accuracy	31.925672705404224	#s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (*.f64 x x)))
accuracy	37.55892954988462	(/.f64 #s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (.f64 x x))) #s(approx ( (+ (* x x) x) (+ (* x x) x)) (.f64 x (.f64 x (*.f64 x x)))))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	5.652604606279855	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
accuracy	33.34139973040752	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
accuracy	30.737867835581444	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
accuracy	32.24791400773843	#s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	30.737867835581444	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
accuracy	33.07819859533418	#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
accuracy	0	(fma.f64 x x x)
accuracy	0	#s(approx (+ x (- -1 x)) #s(literal -1 binary64))
accuracy	0.8000266169246373	(/.f64 #s(approx (+ x (- -1 x)) #s(literal -1 binary64)) (fma.f64 x x x))

Samples

50.0ms	118×	1	valid
28.0ms	138×	0	valid

Compiler

Compiled 205 to 29 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 14.0ms (23.1% of total)

ival-mult: 13.0ms (21.4% of total)

ival-div: 11.0ms (18.1% of total)

adjust: 11.0ms (18.1% of total)

ival-sub: 6.0ms (9.9% of total)

ival-neg: 5.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

simplify224.0ms (2.7%)

Memory

6.1MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 996×	`lower-fma.f64`
10 996×	`lower-fma.f32`
2 828×	`lower-*.f64`
2 828×	`lower-*.f32`
1 586×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1483
1	242	1406
2	683	1219
3	2086	1215
4	5778	1153
0	8115	1127

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

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

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

rewrite259.0ms (3.1%)

Memory

-11.3MiB live, 337.8MiB allocated

Rules

5 776×	`lower-fma.f32`
5 772×	`lower-fma.f64`
4 494×	`lower-/.f32`
4 488×	`lower-/.f64`
3 012×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	241
0	49	222
1	256	203
2	2471	203
0	8768	201

Stop Event

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

Counts

17 → 316

Calls

Call 1

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

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

eval338.0ms (4.1%)

Memory: -105.1MiB live, 160.4MiB allocated
Compiler: Compiled 10 754 to 954 computations (91.1% saved)

prune87.0ms (1%)

Memory

15.1MiB live, 179.8MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	643	7	650
Fresh	4	1	5
Picked	0	5	5
Done	1	2	3
Total	648	15	663

Accuracy

100.0%

Counts

663 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 #s(approx (+ x (- -1 x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
✓	13.0%	(/.f64 #s(approx (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (neg.f64 (.f64 x x))) #s(approx ( (+ (* x x) x) (+ (* x x) x)) (.f64 x (.f64 x (*.f64 x x)))))
✓	98.7%	(/.f64 #s(approx (+ x (- -1 x)) #s(literal -1 binary64)) (fma.f64 x x x))
	98.7%	(/.f64 #s(approx (+ x (- -1 x)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
	47.7%	(/.f64 #s(approx (+ x (- -1 x)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	52.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	17.3%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x))))
✓	39.1%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	40.1%	#s(approx (/ (- (* x (+ (* x x) x)) (* (+ (* x x) x) (+ 1 x))) (* (+ (* x x) x) (+ (* x x) x))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 x (.f64 x x))))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	2.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
	2.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
✓	2.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
	3.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x))))
	3.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (+ (* x x) (- 1 x)) #s(literal 1 binary64))))

Compiler

Compiled 613 to 152 computations (75.2% saved)

regimes24.0ms (0.3%)

Memory

-8.4MiB live, 30.0MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes17.0ms (0.2%)

Memory

-25.0MiB live, 24.6MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes9.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.9%	3	`x`
96.9%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes9.0ms (0.1%)

Memory

-22.1MiB live, 16.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.7%	3	`x`
96.7%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`x`
53.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
3.0%	1	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.0%	1	`x`
3.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8253.862409992777
0.0ms	-0.9206188056630297	-0.0025939064595984357

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8253.862409992777
0.0ms	-0.9206188056630297	-0.0025939064595984357

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify10.0ms (0.1%)

Memory

-28.0MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	224
1	57	224
2	68	224
3	74	224
4	80	224

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (18.7%)

Memory

38.5MiB live, 740.3MiB allocated

Rules

13 746×	`lower-fma.f64`
13 746×	`lower-fma.f32`
11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
10 996×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
0	51	191
1	258	173
2	2515	172
0	8211	163
0	53	305
1	150	286
2	351	274
3	1017	268
4	3170	263
5	5268	262
6	6646	262
7	7448	262
8	7950	262
0	8009	260
0	38	241
0	49	222
1	256	203
2	2471	203
0	8768	201
0	92	1488
1	282	1417
2	765	1332
3	2851	1292
4	6737	1292
0	8112	1264
0	81	1483
1	242	1406
2	683	1219
3	2086	1215
4	5778	1153
0	8115	1127
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

Stop Event

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

Compiler

Compiled 243 to 95 computations (60.9% saved)

preprocess86.0ms (1%)

Memory: 9.1MiB live, 86.0MiB allocated
Compiler: Compiled 288 to 84 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze2.0ms (0%)

sample913.0ms (11%)

explain110.0ms (1.3%)

preprocess27.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize50.0ms (0.6%)

series3.0ms (0%)

simplify204.0ms (2.5%)

rewrite166.0ms (2%)

eval52.0ms (0.6%)

prune74.0ms (0.9%)

simplify420.0ms (5.1%)

localize124.0ms (1.5%)

series66.0ms (0.8%)

simplify238.0ms (2.9%)

rewrite411.0ms (4.9%)

eval234.0ms (2.8%)

prune253.0ms (3%)

simplify277.0ms (3.3%)

localize139.0ms (1.7%)

series10.0ms (0.1%)

simplify363.0ms (4.4%)

rewrite475.0ms (5.7%)

eval353.0ms (4.2%)

prune224.0ms (2.7%)

simplify357.0ms (4.3%)

localize117.0ms (1.4%)

series8.0ms (0.1%)

simplify224.0ms (2.7%)

rewrite259.0ms (3.1%)

eval338.0ms (4.1%)

prune87.0ms (1%)

regimes24.0ms (0.3%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.6s (18.7%)

preprocess86.0ms (1%)

end0.0ms (0%)

Profiling

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

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