Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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)

sample1.1s (19.1%)

Memory

28.0MiB live, 1 283.8MiB allocated

Samples

314.0ms	2 435×	1	valid
275.0ms	1 623×	2	valid
230.0ms	4 198×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 564.0ms

ival-div: 205.0ms (36.3% of total)

ival-sub: 148.0ms (26.2% of total)

adjust: 118.0ms (20.9% of total)

ival-add: 80.0ms (14.2% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain116.0ms (2%)

Memory

-7.9MiB live, 187.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	1	(-0.33740108210621483)	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 x (+.f64 x #s(literal 1 binary64)))`
0	-	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	132	1

Confusion

	Predicted +	Predicted -
+	132	1
-	0	123

Precision

1.0

Recall

0.9924812030075187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	1	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms	162×	1	valid
20.0ms	96×	2	valid
17.0ms	254×	0	valid

Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions

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

ival-sub: 15.0ms (39.3% of total)

ival-div: 12.0ms (31.4% of total)

adjust: 6.0ms (15.7% of total)

ival-add: 4.0ms (10.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess62.0ms (1.1%)

Memory

-5.0MiB live, 79.7MiB 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 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.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)

simplify29.0ms (0.5%)

Memory

-6.9MiB live, 32.4MiB 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 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
(-.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 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))

localize147.0ms (2.5%)

Memory

-8.2MiB live, 80.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	30.566583060487947	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

119.0ms	48×	2	valid
13.0ms	81×	1	valid
7.0ms	127×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-add: 114.0ms (87.5% of total)

ival-div: 9.0ms (6.9% of total)

ival-sub: 4.0ms (3.1% of total)

adjust: 3.0ms (2.3% 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

2.2MiB live, 2.2MiB 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 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 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.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 (/ -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 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 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 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 (/ -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 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 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 -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

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify119.0ms (2%)

Memory

3.8MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 560×	`lower-fma.f64`
9 560×	`lower-fma.f32`
2 654×	`lower-*.f64`
2 654×	`lower-*.f32`
1 898×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	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))))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(/ -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)
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
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)))))
(/ -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 (/ 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
(+ 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 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) 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))
(-.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))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+ 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 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 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)))
(-.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))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+ 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 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x))

rewrite182.0ms (3.1%)

Memory

17.7MiB live, 212.2MiB 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 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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))) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (fma.f64 (.f64 x 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 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))

eval91.0ms (1.5%)

Memory: 1.0MiB live, 73.8MiB allocated
Compiler: Compiled 12 861 to 1 288 computations (90% saved)

prune65.0ms (1.1%)

Memory

-18.9MiB live, 141.1MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	429	15	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	429	16	445

Accuracy

100.0%

Counts

445 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
▶	51.5%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
	50.5%	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))
	52.3%	(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
▶	50.4%	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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))))
	50.4%	(-.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	50.4%	(.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
	49.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
	48.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	51.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
▶	52.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
	48.8%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
	51.8%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
▶	49.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 462 to 249 computations (46.1% saved)

simplify164.0ms (2.8%)

Memory

11.7MiB live, 136.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
cost-diff	128	(neg.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff	1280	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
cost-diff	896	(-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #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 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Rules

16 296×	`lower-fma.f32`
16 292×	`lower-fma.f64`
2 918×	`lower-+.f32`
2 916×	`lower-+.f64`
2 650×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	207
0	49	207
1	93	205
2	202	195
3	604	195
4	2147	172
0	8616	165

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

localize112.0ms (1.9%)

Memory

17.5MiB live, 179.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
accuracy	16.10276988175207	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.056531277399145	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	16.181667416246214	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.385117629009855	(-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	30.391188766729048	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
accuracy	32.288052977329855	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.04296875	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.04296875	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
accuracy	30.353365990406786	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Samples

31.0ms	59×	2	valid
30.0ms	125×	0	valid
29.0ms	72×	1	valid

Compiler

Compiled 197 to 30 computations (84.8% saved)

Precisions

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

ival-div: 21.0ms (35.1% of total)

adjust: 10.0ms (16.7% of total)

ival-mult: 9.0ms (15% of total)

ival-add: 8.0ms (13.4% of total)

ival-sub: 7.0ms (11.7% of total)

ival-neg: 5.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

-13.7MiB live, 24.2MiB 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 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) (patch (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) 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))) (/.f64 #s(literal -3 binary64) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- 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 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 #s(literal 1 binary64) x)) (patch (neg.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) #<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 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #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 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #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 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #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 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -3 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) (patch (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) (patch (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) 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) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) (patch (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) 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) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) (patch (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (patch (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 3 x) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#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 (+ 1 (* 3 x)) (taylor 0 x) (#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 (+ 1 (* x (+ 3 x))) (taylor 0 x) (#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 (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#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 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) 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 #s(literal -3 binary64) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -3 binary64) x) (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -3 binary64) x) (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -3 binary64) x) (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -3 binary64) x) (patch (/.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (patch (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.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 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 (+.f64 #s(literal 1 binary64) x)) (patch (neg.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 #s(literal 1 binary64) x)) (patch (neg.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 #s(literal 1 binary64) x)) (patch (neg.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 #s(literal 1 binary64) x)) (patch (neg.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 (pow x 2))) x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (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 -inf x) (#s(alt (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (* (+ 1 x) (+ 1 x)) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (- x 1) x) (+ (* (/ x (+ (* x x) -1)) (- x 1)) (/ (neg (+ 1 x)) (- x 1))) (neg (+ 1 x)) (/ x (+ (* x x) -1)) (+ (* x x) -1) (/ (neg (+ 1 x)) (- x 1)))

3.0ms

-inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (* (+ 1 x) (+ 1 x)) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (- x 1) x) (+ (* (/ x (+ (* x x) -1)) (- x 1)) (/ (neg (+ 1 x)) (- x 1))) (neg (+ 1 x)) (/ x (+ (* x x) -1)) (+ (* x x) -1) (/ (neg (+ 1 x)) (- x 1)))

2.0ms

inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (* (+ 1 x) (+ 1 x)) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (- x 1) x) (+ (* (/ x (+ (* x x) -1)) (- x 1)) (/ (neg (+ 1 x)) (- x 1))) (neg (+ 1 x)) (/ x (+ (* x x) -1)) (+ (* x x) -1) (/ (neg (+ 1 x)) (- x 1)))

simplify135.0ms (2.3%)

Memory

-6.4MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 778×	`lower-fma.f64`
10 778×	`lower-fma.f32`
3 722×	`lower-*.f64`
3 722×	`lower-*.f32`
1 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1386
1	371	1334
2	953	1283
3	2624	1226
4	6000	1224
0	8222	1162

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

rewrite560.0ms (9.5%)

Memory

-161.9MiB live, 334.1MiB allocated

Rules

4 934×	`lower-/.f32`
4 920×	`lower-/.f64`
3 866×	`lower-fma.f32`
3 862×	`lower-fma.f64`
3 026×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	170
0	49	156
1	251	154
2	2566	154
0	8511	154

Stop Event

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

Counts

16 → 827

Calls

Call 1

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

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -27 binary64) (/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) (.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64))
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))

eval139.0ms (2.4%)

Memory: 27.1MiB live, 292.9MiB allocated
Compiler: Compiled 31 360 to 2 390 computations (92.4% saved)

prune118.0ms (2%)

Memory

7.9MiB live, 208.0MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 091	6	1 097
Fresh	10	0	10
Picked	3	2	5
Done	1	0	1
Total	1 105	8	1 113

Accuracy

100.0%

Counts

1 113 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	49.2%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
▶	48.9%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
	26.4%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)))
▶	48.8%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	52.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
✓	49.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 114 to 69 computations (39.5% saved)

simplify129.0ms (2.2%)

Memory

-38.0MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
cost-diff	0	(-.f64 x #s(literal -3 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
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	#s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

Rules

14 966×	`lower-fma.f32`
14 956×	`lower-fma.f64`
2 650×	`lower-*.f32`
2 646×	`lower-*.f64`
2 380×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	45	193
1	90	193
2	209	178
3	551	178
4	1820	144
0	8133	144

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.9%)

Memory

8.9MiB live, 129.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	0.07421875	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	32.78286205929474	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.31640625	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
accuracy	30.391188766729048	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
accuracy	0	(-.f64 x #s(literal -3 binary64))
accuracy	0.009070031620653759	(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
accuracy	32.53204526566041	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	32.721798075593725	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
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	#s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	16.181667416246214	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

Samples

41.0ms	72×	1	valid
28.0ms	59×	2	valid
22.0ms	125×	0	valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 16.0ms (27.5% of total)

ival-add: 12.0ms (20.6% of total)

adjust: 12.0ms (20.6% of total)

ival-div: 10.0ms (17.2% of total)

ival-sub: 7.0ms (12% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* -3 x) -1) (+ (* x x) -1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* x 3) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* (- x -3) x) 1) (- x -3) (* (/ 1 x) -3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 x) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1))

1.0ms

inf

((/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* -3 x) -1) (+ (* x x) -1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* x 3) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* (- x -3) x) 1) (- x -3) (* (/ 1 x) -3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 x) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1))

1.0ms

((/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* -3 x) -1) (+ (* x x) -1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* x 3) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* (- x -3) x) 1) (- x -3) (* (/ 1 x) -3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ 1 x) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1))

simplify144.0ms (2.4%)

Memory

-18.9MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 836×	`lower-fma.f64`
12 836×	`lower-fma.f32`
3 758×	`lower-*.f64`
3 758×	`lower-*.f32`
1 316×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1084
1	230	1056
2	665	1002
3	2593	1002
4	5550	1002
0	8131	916

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

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

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

rewrite158.0ms (2.7%)

Memory

38.6MiB live, 194.4MiB allocated

Rules

5 390×	`lower-/.f32`
5 386×	`lower-/.f64`
5 080×	`lower-fma.f32`
5 070×	`lower-fma.f64`
2 810×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	178
0	45	155
1	239	155
2	2266	155
0	8490	155

Stop Event

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

Counts

15 → 379

Calls

Call 1

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

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

eval92.0ms (1.6%)

Memory: -44.4MiB live, 82.7MiB allocated
Compiler: Compiled 10 926 to 1 098 computations (90% saved)

prune95.0ms (1.6%)

Memory

7.6MiB live, 166.6MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	594	5	599
Fresh	1	0	1
Picked	0	5	5
Done	0	2	2
Total	595	12	607

Accuracy

100.0%

Counts

607 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	26.4%	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
▶	74.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
✓	49.2%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
✓	48.9%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
▶	48.9%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓	48.8%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
▶	48.8%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
▶	2.5%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) #s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64))))
✓	52.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
✓	49.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 149 to 89 computations (40.3% saved)

simplify126.0ms (2.1%)

Memory

42.3MiB live, 149.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* x x) -1) (*.f64 x x))
cost-diff	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
cost-diff	128	(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
cost-diff	128	(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) #s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64))))
cost-diff	0	#s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))

Rules

13 514×	`lower-fma.f32`
13 508×	`lower-fma.f64`
2 938×	`lower-*.f32`
2 928×	`lower-*.f64`
2 652×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	255
0	45	255
1	84	253
2	204	238
3	566	238
4	1875	190
0	8421	183

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (2%)

Memory

-6.1MiB live, 189.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	16.181667416246214	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
accuracy	30.367911586572312	#s(approx (+ (* x x) -1) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.07421875	(.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
accuracy	0.07829841452874396	(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
accuracy	32.78286205929474	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.07829841452874396	(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
accuracy	32.721798075593725	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	30.405952075729886	#s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64)))
accuracy	32.721798075593725	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) #s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64))))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy	0	#s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	0.6968199724532043	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	15.181876102708381	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))

Samples

59.0ms	116×	1	valid
26.0ms	125×	0	valid
13.0ms	15×	2	valid

Compiler

Compiled 210 to 25 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 32.0ms (40.1% of total)

ival-add: 23.0ms (28.8% of total)

adjust: 15.0ms (18.8% of total)

ival-div: 5.0ms (6.3% of total)

ival-sub: 4.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-23.0MiB live, 15.6MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((* (/ 1 (+ (* x x) -1)) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x)))) (/ 1 (+ (* x x) -1)) (+ (* x x) -1) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* x 3) 1) (* x 3) (+ (* 3 x) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* 3 x) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* -3 x) -1) (+ (* x x) -1) (* x x))

1.0ms

-inf

((* (/ 1 (+ (* x x) -1)) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x)))) (/ 1 (+ (* x x) -1)) (+ (* x x) -1) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* x 3) 1) (* x 3) (+ (* 3 x) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* 3 x) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* -3 x) -1) (+ (* x x) -1) (* x x))

1.0ms

((* (/ 1 (+ (* x x) -1)) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x)))) (/ 1 (+ (* x x) -1)) (+ (* x x) -1) (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* x 3) 1) (* x 3) (+ (* 3 x) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* 3 x) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+ (* -3 x) -1) (+ (* x x) -1) (* x x))

simplify133.0ms (2.2%)

Memory

2.0MiB live, 174.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 670×	`lower-fma.f64`
12 670×	`lower-fma.f32`
4 000×	`lower-*.f64`
4 000×	`lower-*.f32`
1 340×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1271
1	247	1251
2	697	1202
3	2572	1182
4	5503	1182
0	8220	1084

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite193.0ms (3.3%)

Memory

30.3MiB live, 182.5MiB allocated

Rules

5 386×	`lower-/.f32`
5 382×	`lower-/.f64`
4 090×	`lower-fma.f32`
4 084×	`lower-fma.f64`
4 000×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	210
0	45	198
1	187	196
2	1458	193
0	8466	187

Stop Event

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

Counts

17 → 551

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #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 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.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))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 #s(literal -27 binary64) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal -27 binary64) (.f64 (*.f64 x x) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) 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))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
#s(approx (+ (* x x) -1) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval105.0ms (1.8%)

Memory: -7.2MiB live, 183.7MiB allocated
Compiler: Compiled 21 227 to 1 677 computations (92.1% saved)

prune109.0ms (1.8%)

Memory

4.9MiB live, 165.6MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	870	0	870
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	870	12	882

Accuracy

100.0%

Counts

882 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	26.4%	(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
✓	74.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- ( (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
✓	49.2%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
✓	48.9%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
✓	48.9%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓	48.8%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	48.8%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
✓	2.5%	#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) #s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64))))
✓	52.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
✓	49.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 414 to 129 computations (68.8% saved)

regimes16.0ms (0.3%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	x
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
100.0%	3	`x`
99.5%	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)

regimes30.0ms (0.5%)

Memory

-29.4MiB live, 9.3MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #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
99.4%	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

7.9MiB live, 7.9MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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
99.3%	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

6.6MiB live, 6.6MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) #s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #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 (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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
99.1%	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

6.5MiB live, 6.5MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) #s(approx (+ (* x 3) 1) (*.f64 x #s(literal 3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (fma.f64 (-.f64 x #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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (+ (* x x) -1)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.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))) (fma.f64 (+.f64 x #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
98.9%	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)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -30.2b remaining (-93.5%)

Threshold costs -30.2b (-93.5%)

Counts

7 → 1

Calls

Call 1

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

3.0ms	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
49.5%	1	`x`
49.5%	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

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3325991532475712e-8

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3325991532475712e-8

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3325991532475712e-8

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3325991532475712e-8

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	1.3325991532475712e-8	0.999998570151672

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify46.0ms (0.8%)

Memory

-42.9MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
38×	`sub-neg_binary64`
26×	`neg-sub0_binary64`
26×	`neg-mul-1_binary64`
24×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	316
1	74	316
2	101	316
3	135	316
4	165	316
5	173	316
6	177	316

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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 3022314549036573/151115727451828646838272 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 (+.f64 x #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 #s(literal 1 binary64) x)) (/.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 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 #s(literal 1 binary64) x)) (/.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 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 #s(literal 1 binary64) x)) (/.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 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 #s(literal 1 binary64) x)) (/.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 (- (* (- x 1) x) (* (+ 1 x) (+ 1 x))) (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 3022314549036573/151115727451828646838272 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 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 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 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness988.0ms (16.7%)

Memory

17.5MiB live, 523.1MiB allocated

Rules

10 778×	`lower-fma.f64`
10 778×	`lower-fma.f32`
9 560×	`lower-fma.f64`
9 560×	`lower-fma.f32`
5 084×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1386
1	371	1334
2	953	1283
3	2624	1226
4	6000	1224
0	8222	1162
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28

Stop Event

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

Compiler

Compiled 368 to 140 computations (62% saved)

preprocess83.0ms (1.4%)

Memory: 1.0MiB live, 130.6MiB allocated
Compiler: Compiled 376 to 94 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.1s (19.1%)

explain116.0ms (2%)

preprocess62.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.5%)

localize147.0ms (2.5%)

series3.0ms (0.1%)

simplify119.0ms (2%)

rewrite182.0ms (3.1%)

eval91.0ms (1.5%)

prune65.0ms (1.1%)

simplify164.0ms (2.8%)

localize112.0ms (1.9%)

series15.0ms (0.3%)

simplify135.0ms (2.3%)

rewrite560.0ms (9.5%)

eval139.0ms (2.4%)

prune118.0ms (2%)

simplify129.0ms (2.2%)

localize114.0ms (1.9%)

series9.0ms (0.2%)

simplify144.0ms (2.4%)

rewrite158.0ms (2.7%)

eval92.0ms (1.6%)

prune95.0ms (1.6%)

simplify126.0ms (2.1%)

localize117.0ms (2%)

series11.0ms (0.2%)

simplify133.0ms (2.2%)

rewrite193.0ms (3.3%)

eval105.0ms (1.8%)

prune109.0ms (1.8%)

regimes16.0ms (0.3%)

regimes30.0ms (0.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify46.0ms (0.8%)

soundness988.0ms (16.7%)

preprocess83.0ms (1.4%)

end0.0ms (0%)

Profiling