Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample947.0ms (13.8%)

Memory

6.5MiB live, 1 260.2MiB allocated

Samples

245.0ms	2 434×	1	valid
239.0ms	1 550×	2	valid
197.0ms	4 272×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 513.0ms

ival-div: 200.0ms (39% of total)

ival-sub: 120.0ms (23.4% of total)

adjust: 101.0ms (19.7% of total)

ival-add: 78.0ms (15.2% of total)

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

exact: 5.0ms (1% of total)

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

Bogosity

explain105.0ms (1.5%)

Memory

-1.3MiB live, 159.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`	cancellation	133	0

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	156×	1	valid
17.0ms	102×	2	valid
14.0ms	254×	0	valid

Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (41.8% of total)

ival-sub: 8.0ms (23.9% of total)

adjust: 6.0ms (17.9% of total)

ival-add: 4.0ms (11.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess69.0ms (1%)

Memory

-5.4MiB live, 70.1MiB allocated

Algorithm

1×	egg-herbie

Rules

640×	`lower-fma.f64`
640×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
194×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	23	31
2	62	27
3	178	26
4	414	26
5	853	26
6	1181	26
7	1340	26
8	1418	26
9	1428	26
0	7	13
0	12	13
1	20	13
2	28	13
3	44	13
4	77	13
5	115	13
6	203	13
7	371	13
8	876	13
9	1137	13
10	1221	13
11	1231	13
0	1231	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 14 to 7 computations (50% 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
▶	52.2%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify32.0ms (0.5%)

Memory

7.1MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

640×	`lower-fma.f64`
640×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
168×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	20	33
2	28	33
3	44	33
4	77	33
5	115	33
6	203	33
7	371	33
8	876	33
9	1137	33
10	1221	33
11	1231	33
0	1231	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

-1.9MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	30.605972011935926	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

10.0ms	51×	2	valid
8.0ms	127×	0	valid
8.0ms	78×	1	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (47.2% of total)

adjust: 3.0ms (17.7% of total)

ival-sub: 3.0ms (17.7% of total)

ival-add: 2.0ms (11.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify245.0ms (3.6%)

Memory

8.5MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 608×	`lower-fma.f64`
9 608×	`lower-fma.f32`
2 654×	`lower-*.f64`
2 654×	`lower-*.f32`
1 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	332
1	262	322
2	585	310
3	1504	292
4	3719	290
5	6658	290
0	8041	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite322.0ms (4.7%)

Memory

-5.6MiB live, 251.6MiB allocated

Rules

5 084×	`lower-*.f64`
5 084×	`lower-*.f32`
4 902×	`lower-fma.f64`
4 902×	`lower-fma.f32`
4 894×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28

Stop Event

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

Counts

4 → 350

Calls

Call 1

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

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

eval88.0ms (1.3%)

Memory: -4.8MiB live, 80.7MiB allocated
Compiler: Compiled 12 861 to 1 293 computations (89.9% saved)

prune102.0ms (1.5%)

Memory

0.8MiB live, 114.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	433	11	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	433	12	445

Accuracy

100.0%

Counts

445 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
	50.4%	(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
✓	52.2%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	48.7%	(-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	12.3%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	53.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
▶	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
	52.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
▶	49.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 246 to 139 computations (43.5% saved)

simplify323.0ms (4.7%)

Memory

-3.4MiB live, 82.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(+.f64 #s(literal 3 binary64) x)
cost-diff	0	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
cost-diff	0	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))

Rules

4 520×	`lower-fma.f32`
4 514×	`lower-fma.f64`
1 440×	`lower-*.f32`
1 438×	`lower-*.f64`
1 104×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	193
0	44	193
1	69	193
2	111	193
3	204	193
4	386	193
5	496	193
6	622	193
7	879	193
8	1572	193
9	2873	193
10	3350	193
11	3934	193
12	4363	193
13	4661	193
14	4896	193
15	4950	193
16	5001	193
17	5484	193
18	5902	193
19	6010	193
20	6047	193
21	6049	193
22	6049	193
23	6049	193
24	6049	193
0	6049	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (2.1%)

Memory

-0.4MiB live, 118.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy	0.078125	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
accuracy	30.5553688560427	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	0.0625	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	33.12649032051227	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 3 binary64) x)
accuracy	32.83086530177275	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
accuracy	32.65781493481192	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
accuracy	0.04296875	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
accuracy	0.07421875	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
accuracy	30.00372809297161	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))

Samples

24.0ms	78×	1	valid
22.0ms	51×	2	valid
21.0ms	127×	0	valid

Compiler

Compiled 161 to 28 computations (82.6% saved)

Precisions

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

ival-div: 15.0ms (31% of total)

ival-add: 12.0ms (24.8% of total)

adjust: 10.0ms (20.7% of total)

ival-mult: 8.0ms (16.5% of total)

ival-sub: 4.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory

-20.7MiB live, 16.5MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) x) (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (patch (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())

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

Calls

48 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(/ (+ -3 (/ -1 x)) x)
1.0ms	x	@	inf	(/ -1 x)
1.0ms	x	@	-inf	(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
0.0ms	x	@	0	(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
0.0ms	x	@	0	(/ -1 x)

simplify186.0ms (2.7%)

Memory

2.4MiB live, 236.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 770×	`lower-fma.f64`
12 770×	`lower-fma.f32`
3 684×	`lower-*.f64`
3 684×	`lower-*.f32`
1 070×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	1329
1	257	1259
2	736	1184
3	2956	1184
4	6637	1184
0	8270	1115

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

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

rewrite228.0ms (3.3%)

Memory

37.1MiB live, 308.7MiB allocated

Rules

4 980×	`lower-/.f32`
4 970×	`lower-/.f64`
4 892×	`lower-*.f32`
4 890×	`lower-*.f64`
2 438×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	172
0	44	172
1	217	172
2	1965	172
0	8385	172

Stop Event

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

Counts

16 → 378

Calls

Call 1

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

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x) (/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x))
(-.f64 (/.f64 #s(literal 9 binary64) (.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x)) (.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (.f64 x x)))) (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x))) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (.f64 x x))))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x)))) (neg.f64 (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 x x))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

eval65.0ms (0.9%)

Memory: -3.4MiB live, 121.6MiB allocated
Compiler: Compiled 10 187 to 1 110 computations (89.1% saved)

prune85.0ms (1.2%)

Memory

-5.8MiB live, 165.5MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	563	5	568
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	566	14	580

Accuracy

100.0%

Counts

580 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
▶	50.4%	(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
✓	52.2%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	48.7%	(-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	12.3%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
▶	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
	28.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
▶	53.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x))
	52.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x))
✓	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
	52.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	49.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 263 to 146 computations (44.5% saved)

simplify221.0ms (3.2%)

Memory

-1.7MiB live, 272.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	128	(+.f64 (neg.f64 x) #s(literal -1 binary64))
cost-diff	896	(fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 x (*.f64 x x))
cost-diff	0	#s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x)))
cost-diff	0	(-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ 3 x) #s(literal 3 binary64))
cost-diff	0	(fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
cost-diff	0	(+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))
cost-diff	0	(/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x))

Rules

17 950×	`lower-fma.f32`
17 942×	`lower-fma.f64`
2 482×	`lower-*.f32`
2 480×	`lower-*.f64`
1 824×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	279
0	58	274
1	99	272
2	187	272
3	446	272
4	1688	267
5	4957	256
0	8386	252

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.8%)

Memory

-21.5MiB live, 177.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	15.404405648366124	(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.329376629487573	(fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x)))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	30.605972011935926	(-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	33.337398571084464	#s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	30.079991386402156	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
accuracy	30.605972011935926	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0	(fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	32.71017117574404	#s(approx (+ 3 x) #s(literal 3 binary64))
accuracy	32.83086530177275	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))
accuracy	0.04296875	(/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)
accuracy	15.404805959211094	(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
accuracy	30.00372809297161	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x))

Samples

36.0ms	65×	2	valid
26.0ms	125×	0	valid
25.0ms	66×	1	valid

Compiler

Compiled 216 to 31 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 16.0ms (26.5% of total)

ival-add: 14.0ms (23.2% of total)

adjust: 14.0ms (23.2% of total)

ival-sub: 8.0ms (13.2% of total)

ival-mult: 7.0ms (11.6% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) (patch (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (patch #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 3 x) #s(literal 3 binary64)) (patch #s(approx (+ 3 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ x 1)) (-.f64 x (.f64 x x))) (patch #s(approx (/ x (+ x 1)) (-.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 x x)) (patch (-.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (patch (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 x) #s(literal -1 binary64)) (patch (+.f64 (neg.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)) #<representation binary64>) () ())

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

Calls

60 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x)))
0.0ms	x	@	inf	(+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x)))
0.0ms	x	@	-inf	(+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x)))
0.0ms	x	@	inf	(/ (- -3 x) (* x x))
0.0ms	x	@	0	(/ (- -3 x) (* x x))

simplify231.0ms (3.4%)

Memory

10.6MiB live, 291.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 882×	`lower-fma.f64`
13 882×	`lower-fma.f32`
3 714×	`lower-*.f64`
3 714×	`lower-*.f32`
1 970×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1558
1	342	1493
2	827	1410
3	2152	1374
4	5406	1374
0	8355	1318

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 233

Calls

Call 1

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

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

rewrite263.0ms (3.8%)

Memory

8.6MiB live, 360.7MiB allocated

Rules

5 322×	`lower-fma.f32`
5 314×	`lower-fma.f64`
5 002×	`lower-/.f32`
4 994×	`lower-/.f64`
3 140×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	233
0	58	228
1	296	225
2	2810	225
0	9365	221

Stop Event

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

Counts

20 → 642

Calls

Call 1

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

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))))) x) (/.f64 (/.f64 (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) x))
(-.f64 (/.f64 #s(literal 9 binary64) (.f64 x (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))))) (/.f64 (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) (.f64 x (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)
(/.f64 (neg.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) (neg.f64 x))
(/.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #s(literal -27 binary64)) (.f64 x (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (-.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))))) (.f64 x (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #s(literal -27 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (-.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #s(literal -27 binary64))) (neg.f64 (.f64 x (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (-.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))))) (neg.f64 (.f64 x (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (-.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) #s(literal -27 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) (-.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(literal -3 binary64)) #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x))))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x)))
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(-.f64 (/.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 x x) (.f64 (*.f64 x x) (+.f64 x #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal -3 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal -27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x)) (fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x)) (fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))) (/.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 x (.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal -3 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (-.f64 #s(literal -3 binary64) x) x))))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal -3 binary64) x)) (neg.f64 (*.f64 x x)))
(/.f64 (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 (*.f64 x x) (+.f64 x #s(literal -3 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x) x)
(/.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -3 binary64)) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 x x))) (neg.f64 (.f64 (*.f64 x x) (+.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -3 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x)) (fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x))) (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) (neg.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal -3 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -3 binary64) x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x)) (fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x))) (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (neg.f64 (/.f64 x (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (/.f64 #s(literal -3 binary64) (.f64 x x)) (-.f64 (.f64 (neg.f64 (/.f64 x (.f64 x x))) (neg.f64 (/.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (neg.f64 (/.f64 x (.f64 x x)))))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal -3 binary64) x) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))
(.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (-.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -3 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -27 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -3 binary64))))

eval164.0ms (2.4%)

Memory: -16.5MiB live, 299.3MiB allocated
Compiler: Compiled 25 882 to 2 261 computations (91.3% saved)

prune127.0ms (1.9%)

Memory

-0.3MiB live, 279.6MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1 048	7	1 055
Fresh	3	1	4
Picked	2	3	5
Done	1	4	5
Total	1 054	15	1 069

Accuracy

100.0%

Counts

1 069 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
▶	75.9%	(/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	12.3%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	10.2%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
	4.4%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal 1 binary64)))
▶	11.0%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
▶	28.2%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
▶	52.9%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
✓	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
✓	53.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x))
✓	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
	52.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	49.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 221 to 130 computations (41.2% saved)

simplify185.0ms (2.7%)

Memory

14.9MiB live, 296.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	896	(fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
cost-diff	0	#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

Rules

13 598×	`lower-fma.f32`
13 590×	`lower-fma.f64`
2 122×	`lower-*.f32`
2 120×	`lower-*.f64`
1 640×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	212
0	49	220
1	89	220
2	163	220
3	380	220
4	1405	212
5	4628	156
0	8312	156

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.8%)

Memory

-21.2MiB live, 220.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	15.404405648366124	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.329376629487573	(fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x)))
accuracy	0	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	15.478624398366124	(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
accuracy	30.5553688560427	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	30.157393767418785	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
accuracy	30.079991386402156	#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
accuracy	30.605972011935926	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
accuracy	33.37906589742736	#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
accuracy	15.404405648366124	(/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

Samples

42.0ms	65×	2	valid
26.0ms	66×	1	valid
20.0ms	125×	0	valid

Compiler

Compiled 201 to 27 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 21.0ms (31.3% of total)

adjust: 16.0ms (23.8% of total)

ival-add: 13.0ms (19.4% of total)

ival-mult: 10.0ms (14.9% of total)

ival-sub: 5.0ms (7.4% of total)

ival-neg: 1.0ms (1.5% 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

17.5MiB live, 17.5MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))) (patch (-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) (patch #s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -3 binary64) x) (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (.f64 x x))) (patch #s(approx (/ (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (patch (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x 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 (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

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

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (+ (* x -3) -1) (* x x))
0.0ms	x	@	0	(/ -3 x)
0.0ms	x	@	0	(/ (+ (* x -3) -1) (* x x))
0.0ms	x	@	-inf	(/ (+ (* x -3) -1) (* x x))
0.0ms	x	@	inf	(/ -3 x)

simplify258.0ms (3.8%)

Memory

-11.3MiB live, 310.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 746×	`lower-fma.f64`
13 746×	`lower-fma.f32`
3 324×	`lower-*.f64`
3 324×	`lower-*.f32`
2 182×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1192
1	292	1141
2	688	1104
3	1729	1086
4	4399	1084
0	8140	1011

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 201

Calls

Call 1

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

rewrite227.0ms (3.3%)

Memory

25.1MiB live, 379.6MiB allocated

Rules

4 762×	`lower-/.f32`
4 754×	`lower-/.f64`
4 722×	`lower-*.f32`
4 720×	`lower-*.f64`
2 322×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	186
0	49	178
1	234	178
2	1806	166
0	9868	160

Stop Event

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

Counts

17 → 860

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))))
(/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (neg.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64)))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.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) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (neg.f64 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 #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

eval289.0ms (4.2%)

Memory: -15.9MiB live, 292.1MiB allocated
Compiler: Compiled 35 449 to 2 780 computations (92.2% saved)

prune184.0ms (2.7%)

Memory

25.6MiB live, 344.9MiB allocated

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	1 365	5	1 370
Fresh	1	2	3
Picked	0	5	5
Done	1	6	7
Total	1 367	18	1 385

Accuracy

100.0%

Counts

1 385 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
✓	75.9%	(/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	12.3%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	10.2%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
	4.4%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal 1 binary64)))
✓	11.0%	(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
	75.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
	17.4%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
✓	28.2%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
	52.1%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) x))
	28.8%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (.f64 x #s(literal -3 binary64))) (.f64 x x)))
✓	52.9%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
	52.7%	#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
✓	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓	48.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
✓	48.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓	49.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 449 to 170 computations (62.1% saved)

regimes18.0ms (0.3%)

Memory

-11.4MiB live, 27.5MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x))
#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) #s(approx (/ (+ x 1) (- x 1)) (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 #s(approx (/ x (+ x 1)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (.f64 x #s(literal -3 binary64))) (.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (+ (* x x) -1)) (/.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

8.0ms	x
7.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 16 to 8 computations (50% saved)

regimes6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 14 to 7 computations (50% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 14 to 7 computations (50% saved)

regimes7.0ms (0.1%)

Memory

-30.2MiB live, 10.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 14 to 7 computations (50% saved)

regimes5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total -29.9b remaining (-91.6%)

Threshold costs -29.9b (-91.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 8 computations (50% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.093981467505174e-6	0.981548950470913

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.548717289613705e-15	5.806466418789569e-14

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch2.0ms (0%)

Memory

-37.9MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8.548717289613705e-15

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8.548717289613705e-15

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.093981467505174e-6	0.981548950470913

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.093981467505174e-6	0.981548950470913

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify10.0ms (0.1%)

Memory

19.4MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`*-commutative_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	382
1	77	382
2	90	382
3	110	382
4	121	382
5	124	382
6	125	382

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x)) (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x)) (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (.f64 x x)))) x)) (/.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 #s(approx (+ ( (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (neg x) -1) (+ x 1)) (+ (* x x) (neg x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness1.3s (18.8%)

Memory

-21.9MiB live, 664.1MiB allocated

Rules

13 882×	`lower-fma.f64`
13 882×	`lower-fma.f32`
12 770×	`lower-fma.f64`
12 770×	`lower-fma.f32`
9 608×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	332
1	262	322
2	585	310
3	1504	292
4	3719	290
5	6658	290
0	8041	279
0	34	186
0	49	178
1	234	178
2	1806	166
0	9868	160
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	120	1558
1	342	1493
2	827	1410
3	2152	1374
4	5406	1374
0	8355	1318
0	85	1329
1	257	1259
2	736	1184
3	2956	1184
4	6637	1184
0	8270	1115

Stop Event

1×	fuel
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×	iter limit
1×	node limit

Compiler

Compiled 366 to 138 computations (62.3% saved)

preprocess80.0ms (1.2%)

Memory: 5.2MiB live, 127.9MiB allocated
Compiler: Compiled 426 to 98 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample947.0ms (13.8%)

explain105.0ms (1.5%)

preprocess69.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.5%)

localize36.0ms (0.5%)

series3.0ms (0.1%)

simplify245.0ms (3.6%)

rewrite322.0ms (4.7%)

eval88.0ms (1.3%)

prune102.0ms (1.5%)

simplify323.0ms (4.7%)

localize142.0ms (2.1%)

series32.0ms (0.5%)

simplify186.0ms (2.7%)

rewrite228.0ms (3.3%)

eval65.0ms (0.9%)

prune85.0ms (1.2%)

simplify221.0ms (3.2%)

localize126.0ms (1.8%)

series10.0ms (0.2%)

simplify231.0ms (3.4%)

rewrite263.0ms (3.8%)

eval164.0ms (2.4%)

prune127.0ms (1.9%)

simplify185.0ms (2.7%)

localize123.0ms (1.8%)

series8.0ms (0.1%)

simplify258.0ms (3.8%)

rewrite227.0ms (3.3%)

eval289.0ms (4.2%)

prune184.0ms (2.7%)

regimes18.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.3s (18.8%)

preprocess80.0ms (1.2%)

end0.0ms (0%)

Profiling