Metrics for Prelude:atanh from fay-base-0.20.0.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample489.0ms (7.1%)

Memory

22.7MiB live, 782.1MiB allocated

Samples

293.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 54.0ms (34.2% of total)

ival-add: 48.0ms (30.4% of total)

ival-sub: 44.0ms (27.9% of total)

ival-true: 5.0ms (3.2% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain64.0ms (0.9%)

Memory

-10.4MiB live, 72.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-add: 21.0ms (77.2% of total)

ival-sub: 3.0ms (11% of total)

ival-div: 3.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.7%)

Memory

-5.4MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
106×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

-9.9MiB live, 27.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.02734375	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-add: 4.0ms (54.7% of total)

ival-div: 2.0ms (27.4% of total)

ival-sub: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

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

Calls

3 calls:

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

simplify183.0ms (2.7%)

Memory

7.1MiB live, 160.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 542×	`lower-fma.f64`
10 542×	`lower-fma.f32`
2 414×	`lower-*.f64`
2 414×	`lower-*.f32`
1 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	165
1	114	150
2	255	150
3	589	146
4	1219	146
5	2789	146
6	5016	146
7	6788	146
8	7451	146
9	7644	146
10	7668	146
11	7679	146
0	8020	140

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite174.0ms (2.5%)

Memory

-5.2MiB live, 190.8MiB allocated

Rules

2 974×	`lower-/.f64`
2 974×	`lower-/.f32`
2 752×	`lower-fma.f64`
2 752×	`lower-fma.f32`
2 188×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	41	13
2	294	13
3	4101	7
0	10014	7

Stop Event

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

Counts

3 → 489

Calls

Call 1

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

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

eval133.0ms (1.9%)

Memory: -13.1MiB live, 114.0MiB allocated
Compiler: Compiled 11 941 to 1 075 computations (91% saved)

prune39.0ms (0.6%)

Memory

11.7MiB live, 51.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	515	8	523
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	515	9	524

Accuracy

100.0%

Counts

524 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))
	73.4%	(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
▶	47.8%	(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) x))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	47.8%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
▶	48.6%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
▶	53.1%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
	47.4%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
▶	51.7%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 187 to 131 computations (29.9% saved)

simplify243.0ms (3.5%)

Memory

-2.2MiB live, 227.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	64	(+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	384	(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))
cost-diff	128	(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
cost-diff	6464	(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))

Rules

12 170×	`lower-fma.f32`
12 162×	`lower-fma.f64`
3 970×	`lower-*.f32`
3 964×	`lower-*.f64`
2 232×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	262
0	59	262
1	116	262
2	312	258
3	1274	257
4	6397	251
0	9073	245

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (2.8%)

Memory

-9.2MiB live, 156.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0390625	(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.0390625	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))
accuracy	26.536495785918877	(/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy	29.828189410315193	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy	0	(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
accuracy	32.63637825358421	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
accuracy	30.719279661073287	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
accuracy	0.01171875	(/.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0234375	(/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.4363696650450223	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))

Samples

100.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 267 to 35 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 49.0ms (58.3% of total)

ival-pow: 11.0ms (13.1% of total)

ival-mult: 9.0ms (10.7% of total)

ival-add: 6.0ms (7.1% of total)

ival-sub: 4.0ms (4.8% of total)

ival-pow2: 2.0ms (2.4% of total)

ival-neg: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series16.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (patch (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (patch (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) (patch (/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))) #<representation:binary64>) () ())

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

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify302.0ms (4.4%)

Memory

-3.2MiB live, 197.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 538×	`lower-fma.f64`
12 538×	`lower-fma.f32`
3 972×	`lower-*.f64`
3 972×	`lower-*.f32`
2 878×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1645
1	687	1542
2	1924	1459
3	5673	1427
0	8554	1337

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 211

Calls

Call 1

Inputs
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(+ 1 (* 2 x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (pow x 2))) 1)
(- (* (pow x 2) (+ 1 (pow x 2))) 1)
-1
(- (* -2 x) 1)
(- (* x (- (* 2 (pow x 2)) 2)) 1)
(- (* x (- (* (pow x 2) (+ 2 (* 2 x))) 2)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 1 x))))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -2 (pow x 4)))))
(+ 1 (* x (+ 1 (* (pow x 4) (- (* -2 (pow x 2)) 2)))))
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
-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))))
(/ 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))
-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))))
-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))))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
-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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(+ 1 (* 4 (/ 1 x)))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+ 1 (+ (* 4 (/ 1 x)) (+ (* 22 (/ 1 (pow x 3))) (/ 10 (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
(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)))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 3 (* 6 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 6 (* 12 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))
(* -1 (pow x 5))
(* (pow x 5) (- (/ 1 x) 1))
(* (pow x 5) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 5) (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(/ 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))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(+ 1 (* 4 (/ 1 x)))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 10 (* 22 (/ 1 x))) x)) 4) x)))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(pow x 6)
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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)))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 6 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 6 (* 12 (/ 1 x))) x)) 3) x)))))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (- 1 (/ 1 x))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(.f64 (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))
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))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(fma.f64 (hypot.f64 (*.f64 x x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.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))
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))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 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 (* 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))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ (- (* -1 x) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ (- (* -1 x) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
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))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (pow x 2))) 1)
(-.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1 (pow x 2))) 1)
(-.f64 (hypot.f64 (*.f64 x x) 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 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* (pow x 2) (+ 2 (* 2 x))) 2)) 1)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) x #s(literal -2 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 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(*.f64 (fma.f64 (fma.f64 x x x) x x) x)
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x x) x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -2 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -2 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 4) (- (* -2 (pow x 2)) 2)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- x 1)) 1)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (+ 1 x)) 1)) 1)
(fma.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (*.f64 x x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) x))
(+ 1 (+ (* 4 (/ 1 x)) (+ (* 22 (/ 1 (pow x 3))) (/ 10 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 22 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) x)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(hypot.f64 (*.f64 x x) x)
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(-.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(-.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal -3 binary64) x)
(* x (- (* -1 (/ (+ 3 (* 6 (/ 1 x))) x)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)) x)) x)
(* x (- (* -1 (/ (+ 6 (* 12 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))
(-.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 6 binary64)) x)) x)
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1))
(*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (*.f64 x x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 10 (* 22 (/ 1 x))) x)) 4) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 22 binary64) x) #s(literal 10 binary64)) x)) x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(hypot.f64 (*.f64 x x) x)
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(-.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(-.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (+ 1 (* 2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(* (pow x 6) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 6 (pow x 2))))))
(fma.f64 (/.f64 (/.f64 #s(literal -6 binary64) x) x) x (-.f64 #s(literal -3 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 6 (* 12 (/ 1 x))) x)) 3) x)))))
(-.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 6 binary64)) x)) x)
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite395.0ms (5.8%)

Memory

6.0MiB live, 349.2MiB allocated

Rules

4 874×	`lower-/.f32`
4 864×	`lower-/.f64`
4 192×	`lower-*.f32`
4 186×	`lower-*.f64`
3 184×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	59	209
1	277	204
2	2436	204
0	8751	198

Stop Event

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

Counts

18 → 895

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x))) (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (hypot.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (hypot.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (hypot.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (*.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x))
(fma.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(+.f64 (.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x))
(+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)))

eval337.0ms (4.9%)

Memory: 21.8MiB live, 361.2MiB allocated
Compiler: Compiled 40 965 to 3 972 computations (90.3% saved)

prune25.0ms (0.4%)

Memory

13.6MiB live, 90.9MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 101	5	1 106
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	1 105	10	1 115

Accuracy

100.0%

Counts

1 115 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))
▶	73.4%	(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	73.4%	(.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
▶	47.8%	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
▶	47.4%	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64))
✓	48.6%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	53.1%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	3.6%	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)))
✓	51.7%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 172 to 117 computations (32% saved)

simplify500.0ms (7.3%)

Memory

-108.0MiB live, 262.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
cost-diff	128	(-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)))
cost-diff	0	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))
cost-diff	128	(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
cost-diff	1472	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))

Rules

10 860×	`lower-fma.f32`
10 852×	`lower-fma.f64`
3 260×	`lower-*.f32`
3 256×	`lower-*.f64`
2 350×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	241
0	67	255
1	137	247
2	365	246
3	1543	245
4	4726	217
0	8634	217

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (2.8%)

Memory

-25.1MiB live, 336.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	0.0234375	(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy	16.272927011727745	(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
accuracy	32.084813143144004	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	29.828189410315193	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)))
accuracy	32.59567885047948	#s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x))
accuracy	1.431778000727926	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0234375	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.4363696650450223	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))

Samples

98.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 230 to 44 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 29.0ms (35.2% of total)

ival-pow: 18.0ms (21.9% of total)

ival-div: 17.0ms (20.6% of total)

ival-add: 7.0ms (8.5% of total)

ival-sub: 5.0ms (6.1% of total)

ival-neg: 2.0ms (2.4% of total)

ival-pow2: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (patch (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)) #<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 #s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x))) #<representation:binary64>) () ())
#s(alt #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (patch (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation:binary64>) () ())
#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify179.0ms (2.6%)

Memory

-1.6MiB live, 304.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 016×	`lower-fma.f64`
12 016×	`lower-fma.f32`
3 236×	`lower-*.f64`
3 236×	`lower-*.f32`
1 724×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1371
1	390	1295
2	1023	1246
3	2885	1219
4	6743	1218
0	8249	1152

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 209

Calls

Call 1

Inputs
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* 2 x))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 1 x))))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
-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))))
(/ 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))
1
(+ 1 (* 4 (/ 1 x)))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+ 1 (+ (* 4 (/ 1 x)) (+ (* 22 (/ 1 (pow x 3))) (/ 10 (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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1
(+ 1 (* 4 (/ 1 x)))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+ 1 (+ (* 4 (/ 1 x)) (+ (* 22 (/ 1 (pow x 3))) (/ 10 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
-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))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(/ 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))
1
(+ 1 (* 4 (/ 1 x)))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 10 (* 22 (/ 1 x))) x)) 4) x)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1
(+ 1 (* 4 (/ 1 x)))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 10 (* 22 (/ 1 x))) x)) 4) x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(*.f64 (fma.f64 (fma.f64 x x x) x x) (neg.f64 x))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(neg.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (hypot.f64 (.f64 x x) x)))
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 x x x) #s(literal 2 binary64) #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))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(fma.f64 (hypot.f64 (*.f64 x x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.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 x x x) #s(literal 2 binary64) #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))
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 x x x) #s(literal 2 binary64) #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))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ (- (* -1 x) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ (- (* -1 x) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
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 x x x) #s(literal 2 binary64) #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))
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 x x x) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.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 x x x) #s(literal 2 binary64) #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))
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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(*.f64 (fma.f64 (fma.f64 x x x) x x) x)
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(.f64 (-.f64 x #s(literal -1 binary64)) (hypot.f64 (.f64 x x) x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) x))
(+ 1 (+ (* 4 (/ 1 x)) (+ (* 22 (/ 1 (pow x 3))) (/ 10 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 22 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) x))
(+ 1 (+ (* 4 (/ 1 x)) (+ (* 22 (/ 1 (pow x 3))) (/ 10 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 22 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) x)))
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) 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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 10 (* 22 (/ 1 x))) x)) 4) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 22 binary64) x) #s(literal 10 binary64)) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ 1 x)) (/ 10 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 10 (* 22 (/ 1 x))) x)) 4) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 22 binary64) x) #s(literal 10 binary64)) x)) x))
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(/.f64 (-.f64 #s(literal -2 binary64) x) x)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) 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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite279.0ms (4.1%)

Memory

13.5MiB live, 415.9MiB allocated

Rules

5 374×	`lower-*.f32`
5 370×	`lower-*.f64`
4 938×	`lower-fma.f32`
4 930×	`lower-fma.f64`
3 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	216
0	67	214
1	335	194
2	3034	188
0	8761	184

Stop Event

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

Counts

18 → 588

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64))))) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x)))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64))))) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x))))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 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) (.f64 (neg.f64 x) x))))
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(.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(neg.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval115.0ms (1.7%)

Memory: 5.4MiB live, 315.5MiB allocated
Compiler: Compiled 21 642 to 2 472 computations (88.6% saved)

prune72.0ms (1.1%)

Memory

-14.0MiB live, 80.4MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	794	3	797
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	796	11	807

Accuracy

100.0%

Counts

807 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
▶	72.6%	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
▶	73.4%	(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	73.4%	(.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
✓	47.8%	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	47.4%	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64))
✓	48.6%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	53.1%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	3.6%	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)))
✓	51.7%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 105 to 75 computations (28.6% saved)

simplify165.0ms (2.4%)

Memory

14.7MiB live, 245.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	0	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
cost-diff	2688	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	704	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
cost-diff	384	(/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	512	(/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	1984	(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))

Rules

16 934×	`lower-fma.f32`
16 928×	`lower-fma.f64`
2 528×	`lower-*.f32`
2 522×	`lower-*.f64`
2 408×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	233
0	45	293
1	81	293
2	173	293
3	422	289
4	1298	141
5	5888	141
0	8438	141

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.6%)

Memory

-33.8MiB live, 171.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
accuracy	0.0234375	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.4363696650450223	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	16.272927011727745	(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0234375	(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	17.405851766180156	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0234375	(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
accuracy	16.272927011727745	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy	0.109375	(.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
accuracy	16.288962042826977	(/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	16.288962042826977	(/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))

Samples

47.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 254 to 27 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 16.0ms (49.6% of total)

ival-mult: 7.0ms (21.7% of total)

ival-sub: 5.0ms (15.5% of total)

ival-add: 4.0ms (12.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-8.1MiB live, 30.2MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify249.0ms (3.6%)

Memory

-12.5MiB live, 328.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 788×	`lower-fma.f64`
14 788×	`lower-fma.f32`
3 052×	`lower-*.f64`
3 052×	`lower-*.f32`
2 246×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1238
1	325	1171
2	816	1142
3	2302	1086
4	5905	1086
0	8120	1039

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 182

Calls

Call 1

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

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

rewrite342.0ms (5%)

Memory

1.4MiB live, 561.1MiB allocated

Rules

6 272×	`lower-/.f32`
6 254×	`lower-/.f64`
3 836×	`lower-fma.f32`
3 830×	`lower-fma.f64`
2 576×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	174
0	45	176
1	221	131
2	2392	131
0	8932	131

Stop Event

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

Counts

16 → 1 318

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (pow.f64 (fma.f64 (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))))
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(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(/.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(literal -1 binary64)))

eval317.0ms (4.6%)

Memory: 52.3MiB live, 902.2MiB allocated
Compiler: Compiled 61 795 to 5 365 computations (91.3% saved)

prune42.0ms (0.6%)

Memory

-4.7MiB live, 153.4MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	2 214	4	2 218
Fresh	0	0	0
Picked	4	0	4
Done	0	7	7
Total	2 218	11	2 229

Accuracy

100.0%

Counts

2 229 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.6%	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- x 1) (- 1 x)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	73.4%	(.f64 (/.f64 #s(approx (+ ( (/ x (- x 1)) x) (/ (- -1 x) (+ (* x x) -1))) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
	99.8%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
	47.6%	(.f64 #s(approx (/ (+ ( (/ x (- x 1)) x) (/ (- -1 x) (+ (* x x) -1))) (- 1 (* x x))) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	47.8%	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	47.4%	#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64))
✓	48.6%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	53.1%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	3.6%	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (- -1 (/ 2 x)) (/.f64 #s(literal -2 binary64) x)))
✓	51.7%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 325 to 146 computations (55.1% saved)

regimes13.0ms (0.2%)

Memory

-13.9MiB live, 25.2MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

19.5MiB live, 19.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	3	`x`
98.9%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

-33.2MiB live, 6.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#s(approx (/ (/ (* (pow (- -1 x) 2) (+ (pow x 4) (+ (* x x) -1))) (* (- 1 (pow x 3)) (+ (* x x) (- -1 x)))) (- 1 x)) #s(literal 1 binary64))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999762925608	0.9709866414539263

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999762925608	0.9709866414539263

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999762925608	0.9709866414539263

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999762925608	0.9709866414539263

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch16.0ms (0.2%)

Memory

-45.1MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-0.9999999762925608	0.9709866414539263

Samples

4.0ms

240×

valid

Compiler

Compiled 70 to 129 computations (-84.3% saved)

Precisions

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

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

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

simplify29.0ms (0.4%)

Memory

18.6MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`-commutative-binary64-.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	197
1	54	197
2	66	197
3	73	197
4	78	197
5	79	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) (.f64 #s(approx (/ (+ ( (/ x (- x 1)) x) (/ (- -1 x) (+ (* x x) -1))) (- 1 (* x x))) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) (.f64 #s(approx (/ (+ ( (/ x (- x 1)) x) (/ (- -1 x) (+ (* x x) -1))) (- 1 (* x x))) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) (.f64 #s(approx (/ (+ ( (/ x (- x 1)) x) (/ (- -1 x) (+ (* x x) -1))) (- 1 (* x x))) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

soundness1.5s (21.5%)

Memory

17.4MiB live, 619.1MiB allocated

Rules

14 788×	`lower-fma.f64`
14 788×	`lower-fma.f32`
10 542×	`lower-fma.f64`
10 542×	`lower-fma.f32`
4 874×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1238
1	325	1171
2	816	1142
3	2302	1086
4	5905	1086
0	8120	1039
0	34	209
0	59	209
1	277	204
2	2436	204
0	8751	198
0	5	13
0	8	13
1	41	13
2	294	13
3	4101	7
0	10014	7
0	40	165
1	114	150
2	255	150
3	589	146
4	1219	146
5	2789	146
6	5016	146
7	6788	146
8	7451	146
9	7644	146
10	7668	146
11	7679	146
0	8020	140

Stop Event

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

Compiler

Compiled 162 to 78 computations (51.9% saved)

preprocess41.0ms (0.6%)

Memory: 3.0MiB live, 79.1MiB allocated
Compiler: Compiled 222 to 68 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

start0.0ms (0%)

analyze1.0ms (0%)

sample489.0ms (7.1%)

explain64.0ms (0.9%)

preprocess49.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.2%)

localize19.0ms (0.3%)

series2.0ms (0%)

simplify183.0ms (2.7%)

rewrite174.0ms (2.5%)

eval133.0ms (1.9%)

prune39.0ms (0.6%)

simplify243.0ms (3.5%)

localize190.0ms (2.8%)

series16.0ms (0.2%)

simplify302.0ms (4.4%)

rewrite395.0ms (5.8%)

eval337.0ms (4.9%)

prune25.0ms (0.4%)

simplify500.0ms (7.3%)

localize190.0ms (2.8%)

series13.0ms (0.2%)

simplify179.0ms (2.6%)

rewrite279.0ms (4.1%)

eval115.0ms (1.7%)

prune72.0ms (1.1%)

simplify165.0ms (2.4%)

localize112.0ms (1.6%)

series13.0ms (0.2%)

simplify249.0ms (3.6%)

rewrite342.0ms (5%)

eval317.0ms (4.6%)

prune42.0ms (0.6%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify29.0ms (0.4%)

soundness1.5s (21.5%)

preprocess41.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15