Metrics for subtraction fraction

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample598.0ms (6.7%)

Memory

32.4MiB live, 759.6MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-div: 56.0ms (29.4% of total)

ival-add: 48.0ms (25.2% of total)

ival-sub: 40.0ms (21% of total)

ival-neg: 37.0ms (19.5% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain68.0ms (0.8%)

Memory

-13.0MiB live, 106.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(neg.f64 (+.f64 f n))`
-	-	`(+.f64 f n)`
-	-	`(-.f64 f n)`
-	-	`f`
-	-	`n`
-	-	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

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

24.0ms

512×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 3.0ms (26.3% of total)

ival-div: 3.0ms (26.3% of total)

ival-add: 3.0ms (26.3% of total)

ival-neg: 2.0ms (17.5% of total)

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

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

preprocess75.0ms (0.8%)

Memory

23.1MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Rules

424×	`times-frac`
310×	`div-sub`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	61	35
2	171	35
3	414	35
4	1172	35
5	1446	35
6	1503	35
7	1571	35
8	1628	35
0	6	8
0	10	8
1	21	8
2	41	8
3	78	7
4	163	7
5	307	7
6	610	7
7	722	7
8	754	7
9	770	7
10	771	7
0	771	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify29.0ms (0.3%)

Memory

-23.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 f n)
cost-diff	0	(+.f64 f n)
cost-diff	0	(neg.f64 (+.f64 f n))
cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`
176×	`lower-*.f64`
176×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (+.f64 f n))
(-.f64 (neg.f64 n) f)
(+.f64 f n)
f
n
(-.f64 f n)

localize20.0ms (0.2%)

Memory

-2.2MiB live, 35.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 f n)
accuracy	0	(+.f64 f n)
accuracy	0	(neg.f64 (+.f64 f n))
accuracy	0.02734375	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.7% of total)

ival-sub: 1.0ms (17.3% of total)

ival-add: 1.0ms (17.3% of total)

ival-neg: 1.0ms (17.3% of total)

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

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

series6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(/ (neg (+ f n)) (- f n))
1.0ms	n	@	inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	0	(/ (neg (+ f n)) (- f n))
0.0ms	n	@	-inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	-inf	(/ (neg (+ f n)) (- f n))

simplify432.0ms (4.8%)

Memory

8.0MiB live, 313.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))

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

rewrite229.0ms (2.5%)

Memory

-2.6MiB live, 288.7MiB allocated

Rules

2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
2 620×	`lower-/.f32`
2 618×	`lower-/.f64`
1 912×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17

Stop Event

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

Counts

4 → 572

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)

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

eval134.0ms (1.5%)

Memory: 1.9MiB live, 200.6MiB allocated
Compiler: Compiled 16 019 to 1 649 computations (89.7% saved)

prune140.0ms (1.6%)

Memory

2.6MiB live, 216.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	650	9	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	651	9	660

Accuracy

100.0%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
	48.5%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	52.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	52.4%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
▶	48.7%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
	47.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 158 to 94 computations (40.5% saved)

simplify52.0ms (0.6%)

Memory

-3.8MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 n f)
cost-diff	0	(+.f64 f n)
cost-diff	0	(/.f64 (+.f64 f n) (-.f64 n f))
cost-diff	0	(+.f64 f f)
cost-diff	0	(/.f64 (+.f64 f f) n)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
cost-diff	0	(-.f64 f n)
cost-diff	0	(neg.f64 f)
cost-diff	0	#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff	0	(-.f64 f n)
cost-diff	0	(neg.f64 n)
cost-diff	128	(/.f64 (neg.f64 n) (-.f64 f n))
cost-diff	896	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Rules

768×	`lower-fma.f64`
768×	`lower-fma.f32`
432×	`lower-*.f64`
432×	`lower-*.f32`
306×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	37	120
1	58	120
2	99	107
3	168	107
4	274	107
5	465	107
6	985	107
7	1348	107
8	1622	107
9	1719	107
10	1783	107
11	1800	107
0	1800	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)

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

localize77.0ms (0.9%)

Memory

-19.3MiB live, 99.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 f n)
accuracy	0.02734375	(/.f64 (+.f64 f n) (-.f64 n f))
accuracy	0	(/.f64 (+.f64 f f) n)
accuracy	0	(+.f64 f f)
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
accuracy	32.8102449137942	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 f)
accuracy	0.02734375	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy	30.635475143220955	#s(approx (neg (+ f n)) (neg.f64 f))
accuracy	31.326346591509004	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy	0	(neg.f64 n)
accuracy	0.01171875	(/.f64 (neg.f64 n) (-.f64 f n))
accuracy	0.015625	(/.f64 f (-.f64 f n))
accuracy	0.02734375	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Samples

50.0ms

256×

valid

Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (43.7% of total)

ival-sub: 3.0ms (16.4% of total)

ival-add: 3.0ms (16.4% of total)

ival-neg: 3.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Memory

0.1MiB live, 36.9MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify309.0ms (3.4%)

Memory

52.9MiB live, 393.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 882×	`lower-fma.f64`
15 882×	`lower-fma.f32`
4 010×	`lower-*.f64`
4 010×	`lower-*.f32`
3 146×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	430	3158
1	1356	2774
2	4024	2555
0	8607	2315

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 336

Calls

Call 1

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

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

rewrite382.0ms (4.3%)

Memory

-5.2MiB live, 600.7MiB allocated

Rules

5 618×	`lower-*.f64`
5 618×	`lower-*.f32`
5 242×	`lower-/.f32`
5 232×	`lower-/.f64`
2 612×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	102
0	37	99
1	153	94
2	1407	94
0	8963	92

Stop Event

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

Counts

16 → 1 541

Calls

Call 1

Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
(-.f64 n f)
(/.f64 f (-.f64 f n))

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

eval360.0ms (4%)

Memory: -15.0MiB live, 564.0MiB allocated
Compiler: Compiled 51 438 to 3 223 computations (93.7% saved)

prune470.0ms (5.2%)

Memory

-11.7MiB live, 419.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	2 023	6	2 029
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	2 026	12	2 038

Accuracy

100.0%

Counts

2 038 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (-.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	51.7%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
	48.5%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	52.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f))) (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	52.4%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
▶	47.3%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	48.7%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 236 to 131 computations (44.5% saved)

simplify228.0ms (2.5%)

Memory

25.8MiB live, 333.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 n (/.f64 (-.f64 f n) f))
cost-diff	192	(-.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal 1 binary64)))
cost-diff	320	(*.f64 (-.f64 n f) #s(literal 1 binary64))
cost-diff	2432	(/.f64 (-.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
cost-diff	0	(+.f64 f n)
cost-diff	0	(-.f64 n f)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
cost-diff	0	(neg.f64 f)
cost-diff	0	#s(approx (- n f) (neg.f64 f))
cost-diff	0	(+.f64 f n)
cost-diff	0	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
cost-diff	0	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
cost-diff	0	(/.f64 f (-.f64 f n))
cost-diff	0	(-.f64 n f)
cost-diff	0	(/.f64 n (-.f64 n f))
cost-diff	896	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Rules

12 126×	`lower-fma.f64`
12 126×	`lower-fma.f32`
3 536×	`lower-*.f32`
3 528×	`lower-*.f64`
1 844×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	156
0	40	142
1	84	142
2	222	130
3	720	128
4	3840	128
0	8375	128

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

-37.5MiB live, 92.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal 1 binary64)))
accuracy	0.08203125	(*.f64 n (/.f64 (-.f64 f n) f))
accuracy	0.1015625	(*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))
accuracy	13.820469309897044	(/.f64 (-.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 f n)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy	0.16015625	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
accuracy	0	(+.f64 f n)
accuracy	0	(neg.f64 f)
accuracy	0.02734375	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
accuracy	30.748256381652634	#s(approx (- n f) (neg.f64 f))
accuracy	33.73042752946769	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
accuracy	0	(-.f64 f n)
accuracy	0.01171875	(/.f64 n (-.f64 n f))
accuracy	0.015625	(/.f64 f (-.f64 f n))
accuracy	0.02734375	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Samples

39.0ms

256×

valid

Compiler

Compiled 150 to 21 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (40.2% of total)

ival-mult: 6.0ms (26.8% of total)

ival-sub: 5.0ms (22.3% of total)

ival-add: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

17 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	f	@	0	(/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f)))
1.0ms	n	@	inf	(- (/ n (- n f)) (/ f (- f n)))
1.0ms	f	@	inf	(/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f)))
1.0ms	n	@	inf	(/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f)))
1.0ms	n	@	-inf	(/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f)))

simplify347.0ms (3.9%)

Memory

32.0MiB live, 377.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 298×	`lower-fma.f64`
10 298×	`lower-fma.f32`
4 316×	`lower-*.f64`
4 316×	`lower-*.f32`
2 588×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	4107
1	1675	3778
2	5082	3528
0	8406	3319

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 372

Calls

Call 1

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

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

rewrite355.0ms (4%)

Memory

-8.9MiB live, 469.6MiB allocated

Rules

4 856×	`lower-/.f32`
4 844×	`lower-/.f64`
4 170×	`lower-fma.f64`
4 170×	`lower-fma.f32`
2 946×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	40	114
1	175	114
2	1612	101
0	8998	100

Stop Event

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

Counts

17 → 1 621

Calls

Call 1

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

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

eval1.3s (14.7%)

Memory: 13.0MiB live, 462.7MiB allocated
Compiler: Compiled 74 133 to 4 053 computations (94.5% saved)

prune293.0ms (3.3%)

Memory

-27.6MiB live, 582.6MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	2 518	2	2 520
Fresh	1	2	3
Picked	1	4	5
Done	0	4	4
Total	2 520	12	2 532

Accuracy

100.0%

Counts

2 532 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.7%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
▶	48.5%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	52.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
▶	78.2%	(.f64 (/.f64 (+.f64 (/.f64 (.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f)) #s(literal -1 binary64)) (-.f64 f n)) f)
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f))) (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶	52.4%	#s(approx (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
✓	47.3%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	48.7%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 129 to 75 computations (41.9% saved)

simplify219.0ms (2.4%)

Memory

0.6MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 f n)
cost-diff	0	(neg.f64 n)
cost-diff	0	#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff	0	(/.f64 (+.f64 (/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f)) #s(literal -1 binary64)) (-.f64 f n))
cost-diff	128	(+.f64 (/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f)) #s(literal -1 binary64))
cost-diff	1024	(.f64 (/.f64 (+.f64 (/.f64 (.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f)) #s(literal -1 binary64)) (-.f64 f n)) f)
cost-diff	1280	(/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f))
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 n f))
cost-diff	384	(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n))
cost-diff	1024	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f))) (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
cost-diff	0	(/.f64 n f)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))

Rules

10 142×	`lower-fma.f32`
10 140×	`lower-fma.f64`
2 778×	`lower-*.f32`
2 772×	`lower-*.f64`
2 192×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	211
0	55	231
1	109	227
2	301	191
3	1048	145
4	4678	144
0	8407	144

Stop Event

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

Calls

Call 1

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

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

localize244.0ms (2.7%)

Memory

-20.6MiB live, 143.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 n)
accuracy	0.0234375	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy	32.887766122928575	#s(approx (neg (+ f n)) (neg.f64 n))
accuracy	0.08203125	(*.f64 n (/.f64 (-.f64 f n) f))
accuracy	0.17578125	(.f64 (/.f64 (+.f64 (/.f64 (.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f)) #s(literal -1 binary64)) (-.f64 f n)) f)
accuracy	6.170813162930874	(/.f64 (+.f64 (/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f)) #s(literal -1 binary64)) (-.f64 f n))
accuracy	7.324579417060155	(/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (-.f64 n f))
accuracy	0.01953125	(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n))
accuracy	0.0234375	(/.f64 (+.f64 n f) (-.f64 n f))
accuracy	0.1640625	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f))) (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)))
accuracy	0.189785009768442	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
accuracy	0	(/.f64 n f)
accuracy	0.00390625	(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
accuracy	30.260128710714884	#s(approx (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))

Samples

210.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 201 to 32 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-sub: 88.0ms (45.2% of total)

ival-mult: 85.0ms (43.6% of total)

ival-div: 15.0ms (7.7% of total)

ival-add: 4.0ms (2.1% of total)

ival-neg: 2.0ms (1% 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)

series32.0ms (0.4%)

Memory

8.6MiB live, 46.0MiB allocated

Counts

17 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(/ (+ (/ (* n (/ (- f n) f)) (- n f)) -1) (- f n))
1.0ms	n	@	inf	(+ (/ (* n (/ (- f n) f)) (- n f)) -1)
1.0ms	n	@	inf	(/ (* n (/ (- f n) f)) (- n f))
1.0ms	n	@	0	(/ (* n (/ (- f n) f)) (- n f))
1.0ms	f	@	0	(/ (* n (/ (- f n) f)) (- n f))

simplify302.0ms (3.4%)

Memory

26.3MiB live, 331.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 060×	`lower-fma.f64`
10 060×	`lower-fma.f32`
3 930×	`lower-+.f64`
3 930×	`lower-+.f32`
3 412×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	3920
1	1868	3632
2	6073	3490
0	8302	3274

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 387

Calls

Call 1

Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* 2 (/ f n)))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))))) (* 2 (pow f 3))) (pow n 3))) (* -1 (/ (pow f 2) (pow n 2))))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (- (+ (* -2 f) (/ (pow f 2) n)) (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n)))) n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -1 (/ (+ (* -1 (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (* -1 (/ (+ (* 2 (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (* 2 (pow f 3))) n))) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -2 (/ n f)) 1)
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(- (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (* -2 (pow n 3))) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2))))) f)) (+ (* 2 (/ (pow n 3) f)) (pow n 2))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 n)
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ -1 f)
(- (* -3 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -5 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (/ 1 f))
(- (* n (- (* n (- (* -7 (/ n (pow f 4))) (* 5 (/ 1 (pow f 3))))) (* 3 (/ 1 (pow f 2))))) (/ 1 f))
(/ -1 n)
(/ (- (* -1 (/ f n)) (+ 1 (* 2 (/ f n)))) n)
(/ (- (+ (* -1 (/ f n)) (* -1 (/ (+ (* -2 (* f (- (* -1 f) (* 2 f)))) (* -1 (pow f 2))) (pow n 2)))) (+ 1 (* 2 (/ f n)))) n)
(/ (- (+ (* -1 (/ f n)) (* -1 (/ (+ (* 2 (* f (+ (* -2 (* f (- (* -1 f) (* 2 f)))) (* -1 (pow f 2))))) (* (pow f 2) (- (* -1 f) (* 2 f)))) (pow n 3)))) (+ 1 (+ (* -2 (/ (* f (- (* -1 f) (* 2 f))) (pow n 2))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n)))))) n)
(/ -1 n)
(* -1 (/ (- (+ 1 (/ f n)) (* -2 (/ f n))) n))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- f (* -2 f))) (* -1 (/ (+ (* -1 (pow f 2)) (* 2 (* f (- f (* -2 f))))) n))) n))) n))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- f (* -2 f))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* f (+ (* -1 (pow f 2)) (* 2 (* f (- f (* -2 f))))))) (* (pow f 2) (- f (* -2 f)))) n)) (+ (* -1 (pow f 2)) (* 2 (* f (- f (* -2 f)))))) n))) n))) n))
(/ -1 n)
(- (* -3 (/ f (pow n 2))) (/ 1 n))
(- (* f (- (* -5 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (/ 1 n))
(- (* f (- (* f (- (* -7 (/ f (pow n 4))) (* 5 (/ 1 (pow n 3))))) (* 3 (/ 1 (pow n 2))))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) (+ 1 (* 2 (/ n f)))) f)
(/ (- (+ (* -1 (/ n f)) (* -1 (/ (+ (* -2 (* n (- (* -1 n) (* 2 n)))) (* -1 (pow n 2))) (pow f 2)))) (+ 1 (* 2 (/ n f)))) f)
(/ (- (+ (* -1 (/ n f)) (* -1 (/ (+ (* 2 (* n (+ (* -2 (* n (- (* -1 n) (* 2 n)))) (* -1 (pow n 2))))) (* (pow n 2) (- (* -1 n) (* 2 n)))) (pow f 3)))) (+ 1 (+ (* -2 (/ (* n (- (* -1 n) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f)))))) f)
(/ -1 f)
(* -1 (/ (- (+ 1 (/ n f)) (* -2 (/ n f))) f))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- n (* -2 n))) (* -1 (/ (+ (* -1 (pow n 2)) (* 2 (* n (- n (* -2 n))))) f))) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- n (* -2 n))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* n (+ (* -1 (pow n 2)) (* 2 (* n (- n (* -2 n))))))) (* (pow n 2) (- n (* -2 n)))) f)) (+ (* -1 (pow n 2)) (* 2 (* n (- n (* -2 n)))))) f))) f))) f))
(/ 1 f)
(+ (/ 1 f) (/ n (pow f 2)))
(+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))
(+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ -1 n)
(/ (- (* -1 (/ f n)) 1) n)
(/ (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))) n)
(/ (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))) n)
(/ -1 n)
(* -1 (/ (+ 1 (/ f n)) n))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) n))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) n))
(/ -1 n)
(- (* -1 (/ f (pow n 2))) (/ 1 n))
(- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))
(- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ 1 f)
(/ (+ 1 (/ n f)) f)
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) f)
(/ (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) f)
(/ 1 f)
(* -1 (/ (- (* -1 (/ n f)) 1) f))
(* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) f))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
(* -1 (/ n f))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 f) (* -1 n)) f)
(/ (+ (* -1 f) (* -1 n)) f)
(/ (+ (* -1 f) (* -1 n)) f)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(/ -1 f)
(- (* -2 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (/ 1 f))
(- (* n (- (* n (- (* -2 (/ n (pow f 4))) (* 2 (/ 1 (pow f 3))))) (* 2 (/ 1 (pow f 2))))) (/ 1 f))
(/ 1 f)
(+ (/ 1 f) (* 2 (/ 1 n)))
(+ (* 2 (/ f (pow n 2))) (+ (/ 1 f) (* 2 (/ 1 n))))
(- (+ (* 2 (/ (pow f 2) (pow n 3))) (+ (/ 1 f) (* 2 (/ 1 n)))) (* -2 (/ f (pow n 2))))
(/ 1 f)
(+ (/ 1 f) (* 2 (/ 1 n)))
(+ (* -1 (/ (- (* -2 (/ f n)) 2) n)) (/ 1 f))
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow f 2) n)) (* -2 f)) n)) 2) n)) (/ 1 f))
(/ 1 f)
(/ (+ 1 (* 2 (/ f n))) f)
(/ (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) f)
(/ (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) f)
(/ -1 f)
(/ (- (* -1 (/ n f)) (+ 1 (/ n f))) f)
(/ (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) f)
(/ -1 f)
(* -1 (/ (- (+ 1 (/ n f)) (* -1 (/ n f))) f))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- n (* -1 n))) (* -1 (/ (* n (- n (* -1 n))) f))) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- n (* -1 n))) (* -1 (/ (+ (* n (- n (* -1 n))) (/ (* (pow n 2) (- n (* -1 n))) f)) f))) f))) f))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
n
(* n (+ 1 (* -1 (/ n f))))
(* n (+ 1 (* -1 (/ n f))))
(* n (+ 1 (* -1 (/ n f))))
(* -1 (/ (pow n 2) f))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* -1 (/ (pow n 2) f))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* -1 (/ (pow n 2) f))
(/ (+ (* -1 (pow n 2)) (* f n)) f)
(/ (+ (* -1 (pow n 2)) (* f n)) f)
(/ (+ (* -1 (pow n 2)) (* f n)) f)
n
(+ n (* -1 (/ (pow n 2) f)))
(+ n (* -1 (/ (pow n 2) f)))
(+ n (* -1 (/ (pow n 2) f)))
n
(+ n (* -1 (/ (pow n 2) f)))
(+ n (* -1 (/ (pow n 2) f)))
(+ n (* -1 (/ (pow n 2) f)))

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

rewrite275.0ms (3.1%)

Memory

1.5MiB live, 394.4MiB allocated

Rules

6 256×	`lower-/.f32`
6 238×	`lower-/.f64`
4 220×	`lower-*.f32`
4 214×	`lower-*.f64`
2 476×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	178
0	55	172
1	236	170
2	2189	162
0	8990	159

Stop Event

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

Counts

17 → 604

Calls

Call 1

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

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

eval246.0ms (2.7%)

Memory: 22.3MiB live, 336.9MiB allocated
Compiler: Compiled 25 568 to 2 690 computations (89.5% saved)

prune170.0ms (1.9%)

Memory

16.6MiB live, 331.1MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	1 151	2	1 153
Fresh	0	0	0
Picked	2	2	4
Done	0	8	8
Total	1 153	12	1 165

Accuracy

100.0%

Counts

1 165 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.7%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
✓	48.5%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	52.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
	89.9%	(.f64 (/.f64 #s(approx (+ (/ ( n (/ (- f n) f)) (- n f)) -1) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (-.f64 f n)) f)
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	99.7%	(*.f64 #s(approx (/ 1 (/ -1 (- n f))) (-.f64 f n)) (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)))
✓	52.4%	#s(approx (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
✓	47.3%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	48.7%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 314 to 120 computations (61.8% saved)

regimes25.0ms (0.3%)

Memory

-12.8MiB live, 56.5MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Calls

3 calls:

9.0ms	f
6.0ms	n
5.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes24.0ms (0.3%)

Memory

-27.8MiB live, 34.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

3 calls:

15.0ms	f
4.0ms	n
4.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	f
4.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
79.5%	3	`f`
77.1%	3	`n`
98.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0%)

Memory

-32.1MiB live, 7.1MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Outputs
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))

Outputs
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
96.9%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
96.9%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
96.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
96.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Calls

3 calls:

1.0ms	f
1.0ms	n
1.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
51.1%	1	`n`
51.1%	1	`f`
51.1%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.6618344241106551	0.9999658335422323

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.6618344241106551	0.9999658335422323

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.6618344241106551	0.9999658335422323

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.6618344241106551	0.9999658335422323

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.6618344241106551	0.9999658335422323

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch15.0ms (0.2%)

Memory

-2.5MiB live, 35.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.6618344241106551	0.9999658335422323

Samples

4.0ms

240×

valid

Compiler

Compiled 163 to 131 computations (19.6% 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)

simplify28.0ms (0.3%)

Memory

-29.5MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Rules

158×	`unsub-neg_binary64`
144×	`distribute-lft-neg-in_binary64`
108×	`neg-mul-1_binary64`
78×	`neg-sub0_binary64`
72×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	235
1	64	235
2	83	235
3	96	229
4	112	229
5	144	229
6	183	229
7	240	229
8	320	229
9	382	229
10	440	229
11	490	229
12	535	229
13	564	229
14	583	229
15	588	229
16	589	229

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (13.4%)

Memory

-18.2MiB live, 651.0MiB allocated

Rules

15 882×	`lower-fma.f64`
15 882×	`lower-fma.f32`
14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
5 618×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	3158
1	1356	2774
2	4024	2555
0	8607	2315
0	24	102
0	37	99
1	153	94
2	1407	94
0	8963	92
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

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

Compiler

Compiled 337 to 136 computations (59.6% saved)

preprocess111.0ms (1.2%)

Memory: 19.9MiB live, 96.4MiB allocated
Compiler: Compiled 326 to 76 computations (76.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	46	235
1	64	235
2	83	235
3	96	229
4	112	229
5	144	229
6	183	229
7	240	229
8	320	229
9	382	229
10	440	229
11	490	229
12	535	229
13	564	229
14	583	229
15	588	229
16	589	229

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	46	235
1	64	235
2	83	235
3	96	229
4	112	229
5	144	229
6	183	229
7	240	229
8	320	229
9	382	229
10	440	229
11	490	229
12	535	229
13	564	229
14	583	229
15	588	229
16	589	229

start0.0ms (0%)

analyze11.0ms (0.1%)

sample598.0ms (6.7%)

explain68.0ms (0.8%)

preprocess75.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.3%)

localize20.0ms (0.2%)

series6.0ms (0.1%)

simplify432.0ms (4.8%)

rewrite229.0ms (2.5%)

eval134.0ms (1.5%)

prune140.0ms (1.6%)

simplify52.0ms (0.6%)

localize77.0ms (0.9%)

series31.0ms (0.3%)

simplify309.0ms (3.4%)

rewrite382.0ms (4.3%)

eval360.0ms (4%)

prune470.0ms (5.2%)

simplify228.0ms (2.5%)

localize77.0ms (0.9%)

series22.0ms (0.2%)

simplify347.0ms (3.9%)

rewrite355.0ms (4%)

eval1.3s (14.7%)

prune293.0ms (3.3%)

simplify219.0ms (2.4%)

localize244.0ms (2.7%)

series32.0ms (0.4%)

simplify302.0ms (3.4%)

rewrite275.0ms (3.1%)

eval246.0ms (2.7%)

prune170.0ms (1.9%)

regimes25.0ms (0.3%)

regimes24.0ms (0.3%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

simplify28.0ms (0.3%)

soundness1.2s (13.4%)

preprocess111.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	46	235
1	64	235
2	83	235
3	96	229
4	112	229
5	144	229
6	183	229
7	240	229
8	320	229
9	382	229
10	440	229
11	490	229
12	535	229
13	564	229
14	583	229
15	588	229
16	589	229