Metrics for subtraction fraction

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.2%)

Memory

-9.9MiB live, 22.9MiB 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)

sample606.0ms (8.2%)

Memory

12.4MiB live, 739.4MiB allocated

Samples

367.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-div: 56.0ms (29.9% of total)

ival-add: 48.0ms (25.6% of total)

ival-sub: 39.0ms (20.8% of total)

ival-neg: 36.0ms (19.2% of total)

ival-true: 5.0ms (2.7% of total)

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

Bogosity

explain59.0ms (0.8%)

Memory

38.6MiB live, 114.6MiB 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

23.0ms

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 (26.5% of total)

ival-div: 3.0ms (26.5% of total)

ival-add: 3.0ms (26.5% of total)

ival-neg: 2.0ms (17.7% of total)

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

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

preprocess68.0ms (0.9%)

Memory

-8.9MiB live, 74.3MiB 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

0.9MiB live, 0.9MiB 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)

simplify58.0ms (0.8%)

Memory

-20.6MiB live, 18.3MiB 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)

localize21.0ms (0.3%)

Memory

-3.2MiB live, 34.3MiB 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	0.0234375	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

11.0ms

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 (36.3% of total)

ival-sub: 1.0ms (18.1% of total)

ival-add: 1.0ms (18.1% of total)

ival-neg: 1.0ms (18.1% of total)

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

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

series6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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	f	@	-inf	(/ (neg (+ f n)) (- f n))
0.0ms	n	@	-inf	(/ (neg (+ f n)) (- f n))

simplify392.0ms (5.3%)

Memory

-2.9MiB live, 268.1MiB 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)

rewrite272.0ms (3.7%)

Memory

24.8MiB live, 315.0MiB 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)))

eval77.0ms (1%)

Memory: 1.0MiB live, 199.3MiB allocated
Compiler: Compiled 16 019 to 1 649 computations (89.7% saved)

prune113.0ms (1.5%)

Memory

5.7MiB live, 202.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	649	10	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	650	10	660

Accuracy

100.0%

Counts

660 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
	36.1%	(/.f64 (neg.f64 (+.f64 f n)) (/.f64 (-.f64 (.f64 (.f64 f f) (+.f64 f n)) (.f64 (+.f64 f n) (.f64 n n))) (*.f64 (+.f64 f n) (+.f64 f n))))
	53.9%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	47.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
	47.8%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
▶	53.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
	52.8%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	46.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 218 to 118 computations (45.9% saved)

simplify63.0ms (0.8%)

Memory

-37.2MiB live, 18.6MiB 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)

localize70.0ms (0.9%)

Memory

18.7MiB live, 94.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 f n)
accuracy	0.0234375	(/.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	29.490043835980213	#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	0.0234375	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy	33.85713344259544	#s(approx (neg (+ f n)) (neg.f64 f))
accuracy	34.33718866871973	#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	0.01171875	(/.f64 f (-.f64 f n))
accuracy	0.01953125	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Samples

40.0ms

256×

valid

Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 13.0ms (46.7% of total)

ival-div: 8.0ms (28.7% of total)

ival-add: 3.0ms (10.8% of total)

ival-neg: 3.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

5.3MiB live, 41.7MiB 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>) () ())) ())
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#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 (+ (/ 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
3.0ms	f	@	inf	(neg f)
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)

simplify324.0ms (4.4%)

Memory

9.8MiB live, 438.5MiB 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))
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(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(.f64 f (fma.f64 f (.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (/.f64 #s(literal -1 binary64) 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 (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))

rewrite397.0ms (5.3%)

Memory

-2.2MiB live, 479.5MiB 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)))
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(.f64 (.f64 (+.f64 n f) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (-.f64 n f) (/.f64 #s(literal -1 binary64) (-.f64 n f))))
(.f64 (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (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 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(*.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (+.f64 n f)))
(.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)))

eval624.0ms (8.4%)

Memory: -23.6MiB live, 543.6MiB allocated
Compiler: Compiled 51 438 to 3 223 computations (93.7% saved)

prune201.0ms (2.7%)

Memory

14.9MiB live, 424.8MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	2 024	5	2 029
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	2 029	10	2 039

Accuracy

100.0%

Counts

2 039 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	85.9%	(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))
▶	53.9%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	47.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
	51.4%	(.f64 (fma.f64 (neg.f64 n) (-.f64 f n) (.f64 (-.f64 n f) f)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (-.f64 f n))))
▶	47.8%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
▶	52.8%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	53.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	46.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 172 to 95 computations (44.8% saved)

simplify182.0ms (2.4%)

Memory

-2.2MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 n f)
cost-diff	0	#s(approx (+ f n) (fma.f64 f (/.f64 n f) f))
cost-diff	0	(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))
cost-diff	896	(fma.f64 f (/.f64 n f) f)
cost-diff	0	(+.f64 n n)
cost-diff	0	(/.f64 (+.f64 n n) f)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
cost-diff	0	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
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	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
cost-diff	0	(+.f64 n f)
cost-diff	0	(-.f64 n f)
cost-diff	0	(/.f64 (-.f64 n f) (+.f64 n f))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))

Rules

5 626×	`lower-fma.f32`
5 624×	`lower-fma.f64`
3 490×	`lower-*.f64`
3 490×	`lower-*.f32`
1 120×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	39	128
1	67	128
2	112	126
3	195	120
4	388	120
5	886	120
6	2956	120
7	5571	120
8	7114	120
9	7628	120
10	7830	120
11	7991	120
0	8015	118

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1%)

Memory

1.3MiB live, 81.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	#s(approx (+ f n) (fma.f64 f (/.f64 n f) f))
accuracy	0.01953125	(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))
accuracy	8.70004427152721	(fma.f64 f (/.f64 n f) f)
accuracy	0	(/.f64 (+.f64 n n) f)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
accuracy	0	(+.f64 n n)
accuracy	33.18431990543682	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 n)
accuracy	0.01953125	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy	29.422494992345385	#s(approx (neg (+ f n)) (neg.f64 n))
accuracy	29.996347311868877	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 n f)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy	0.0234375	(/.f64 (-.f64 n f) (+.f64 n f))

Samples

53.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions

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

ival-div: 15.0ms (55.5% of total)

ival-sub: 4.0ms (14.8% of total)

ival-add: 4.0ms (14.8% of total)

ival-mult: 2.0ms (7.4% of total)

ival-neg: 2.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-4.2MiB live, 32.8MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	n	@	-inf	(/ n f)
2.0ms	f	@	-inf	(+ (* f (/ n f)) f)
1.0ms	n	@	0	(/ (- n f) (+ n f))
0.0ms	f	@	0	(- -1 (/ (+ n n) f))
0.0ms	n	@	-inf	(/ (+ n n) f)

simplify255.0ms (3.4%)

Memory

-1.7MiB live, 308.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 648×	`lower-fma.f64`
15 648×	`lower-fma.f32`
3 282×	`lower-*.f64`
3 282×	`lower-*.f32`
2 810×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	2852
1	898	2578
2	2807	2344
0	8154	2125

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 360

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

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

rewrite246.0ms (3.3%)

Memory

21.3MiB live, 405.2MiB allocated

Rules

5 752×	`lower-/.f32`
5 740×	`lower-/.f64`
4 162×	`lower-*.f64`
4 162×	`lower-*.f32`
3 196×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	39	115
1	166	115
2	1291	112
0	8540	107

Stop Event

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

Counts

17 → 831

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (.f64 n (/.f64 #s(literal 1 binary64) (-.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 (/.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 (neg.f64 n) (neg.f64 (-.f64 n f))) (/.f64 f (neg.f64 (-.f64 n f))))
(-.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))))
(-.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)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(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) (fma.f64 n (-.f64 n f) (.f64 f f))) (fma.f64 n (.f64 n n) (.f64 f (*.f64 f f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (fma.f64 f (-.f64 f n) (.f64 n n))) (fma.f64 n (.f64 n n) (.f64 f (*.f64 f f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 n f)) (.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 n (-.f64 n f) (.f64 f f)) (-.f64 n f)) (.f64 (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 f (-.f64 f n) (.f64 n n)) (-.f64 n f)) (.f64 (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 f n) (-.f64 n f)) (.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (.f64 f f))) (.f64 #s(literal 1 binary64) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (fma.f64 f (-.f64 f n) (.f64 n n))) (.f64 #s(literal 1 binary64) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 n f)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 (+.f64 n f) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (.f64 f f)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (*.f64 f f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (-.f64 f n) (.f64 n n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (*.f64 f f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (.f64 f f)) (.f64 (fma.f64 n (.f64 n n) (.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (-.f64 f n) (.f64 n n)) (.f64 (fma.f64 n (.f64 n n) (.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (.f64 (.f64 (+.f64 n f) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 n f)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 n f) (-.f64 (neg.f64 f) n)))
(/.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 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.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 (.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.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 f n) (-.f64 n f)))
(/.f64 (.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (.f64 (+.f64 n f) (-.f64 f n))) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.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))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (neg.f64 f) n)) (neg.f64 (neg.f64 (-.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 n f))) (neg.f64 (.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 n f) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 n f))) (-.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 (.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (.f64 (neg.f64 (-.f64 n f)) (+.f64 n f))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.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 f n) (-.f64 n f))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (.f64 (+.f64 n f) (-.f64 f n)))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 f) n))) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 f) n))) (neg.f64 (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 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n n))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 f n)))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (-.f64 n 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 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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 n n) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 n n) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 n n) #s(literal 0 binary64)) (/.f64 (.f64 n n) #s(literal 0 binary64)) (fma.f64 (/.f64 (.f64 n n) #s(literal 0 binary64)) (/.f64 (.f64 n n) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 n n) #s(literal 0 binary64)) (/.f64 (*.f64 n n) #s(literal 0 binary64))))))
(pow.f64 (+.f64 n n) #s(literal -1 binary64))
(pow.f64 (+.f64 n n) #s(literal 3 binary64))
(*.f64 n #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 n n))
(.f64 (+.f64 n n) (.f64 (+.f64 n n) (+.f64 n n)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 n (*.f64 n n)) #s(literal 8 binary64))
(.f64 (.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) n)
(*.f64 #s(literal 2 binary64) (neg.f64 n))
(.f64 (.f64 (+.f64 n n) (+.f64 n n)) (+.f64 n n))
(*.f64 #s(literal -2 binary64) n)
(.f64 #s(literal 8 binary64) (.f64 n (*.f64 n n)))
(.f64 #s(literal 8 binary64) (neg.f64 (.f64 n (*.f64 n n))))
(.f64 (pow.f64 (.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal -8 binary64) (.f64 n (*.f64 n n)))
(+.f64 f (*.f64 n #s(literal 1 binary64)))
(+.f64 (*.f64 n #s(literal 1 binary64)) f)
(-.f64 (/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (/.f64 (.f64 f f) (-.f64 (*.f64 n #s(literal 1 binary64)) f)))
(-.f64 (/.f64 (.f64 f f) (-.f64 f (.f64 n #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 f (*.f64 n #s(literal 1 binary64)))))
(fma.f64 n #s(literal 1 binary64) f)
(fma.f64 f (/.f64 n f) f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)
(fma.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 f (/.f64 #s(literal 1 binary64) n)) f)
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 (neg.f64 n) f) f)
(fma.f64 (/.f64 (neg.f64 n) #s(literal -1 binary64)) (/.f64 f f) f)
(fma.f64 (/.f64 f f) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) f)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n #s(literal 1 binary64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n #s(literal 1 binary64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f (.f64 n #s(literal 1 binary64))))) (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f (.f64 n #s(literal 1 binary64))) (-.f64 (.f64 f f) (.f64 (.f64 n n) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n #s(literal 1 binary64) f))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64))) (fma.f64 f (-.f64 f (.f64 n #s(literal 1 binary64))) (.f64 (*.f64 n n) #s(literal 1 binary64))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64))) (fma.f64 f f (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f (.f64 n #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f f)) (-.f64 (.f64 n #s(literal 1 binary64)) f))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 f (-.f64 f (.f64 n #s(literal 1 binary64))) (.f64 (*.f64 n n) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 f f (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f (.f64 n #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f f))) (neg.f64 (-.f64 (.f64 n #s(literal 1 binary64)) f)))
(/.f64 (-.f64 (.f64 f f) (.f64 (.f64 n n) #s(literal 1 binary64))) (-.f64 f (.f64 n #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (.f64 (-.f64 (.f64 n #s(literal 1 binary64)) f) (.f64 f f))) (.f64 (-.f64 (.f64 n #s(literal 1 binary64)) f) (-.f64 (.f64 n #s(literal 1 binary64)) f)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 f (-.f64 f (.f64 n #s(literal 1 binary64))) (.f64 (*.f64 n n) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f f)))) (neg.f64 (neg.f64 (-.f64 (.f64 n #s(literal 1 binary64)) f))))
(/.f64 (neg.f64 (-.f64 (.f64 f f) (.f64 (.f64 n n) #s(literal 1 binary64)))) (neg.f64 (-.f64 f (.f64 n #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 (.f64 n #s(literal 1 binary64)) f)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 f f) (-.f64 (.f64 n #s(literal 1 binary64)) f)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (fma.f64 (/.f64 (.f64 f f) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (/.f64 (.f64 f f) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (-.f64 (.f64 n #s(literal 1 binary64)) f)) (/.f64 (.f64 f f) (-.f64 (*.f64 n #s(literal 1 binary64)) f))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n #s(literal 1 binary64) f)) #s(literal -1 binary64))
(.f64 (fma.f64 f (.f64 f f) (.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f (.f64 n #s(literal 1 binary64))) (.f64 (.f64 n n) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 (.f64 n n) #s(literal 1 binary64)) (.f64 f f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 1 binary64)) f)))
(*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (neg.f64 (-.f64 n f))))
(neg.f64 (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (neg.f64 (-.f64 n f))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))) (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)))))
(/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (-.f64 n f))
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (*.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f)))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) #s(literal 1 binary64))) (neg.f64 (-.f64 n f)))
(pow.f64 (/.f64 (-.f64 n f) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (-.f64 n f)))
(*.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (.f64 (fma.f64 f (+.f64 n f) (.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (.f64 n n)))
(.f64 (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) 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 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(.f64 (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 n f)))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(.f64 (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) 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 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) 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 f (-.f64 f n) (.f64 n n))))
(.f64 (/.f64 #s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f)) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
#s(approx (+ f n) (fma.f64 n #s(literal 1 binary64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 n (neg.f64 f)))
(neg.f64 (/.f64 n (neg.f64 f)))
(neg.f64 (/.f64 (neg.f64 n) f))
(/.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1 binary64))))
(/.f64 n f)
(/.f64 (neg.f64 n) (neg.f64 f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 f n)))
(/.f64 (*.f64 n #s(literal 1 binary64)) f)
(/.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 f)))
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 f)) (.f64 (neg.f64 f) n)) (*.f64 f f))
(/.f64 (neg.f64 (neg.f64 (neg.f64 n))) (neg.f64 (neg.f64 (neg.f64 f))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) #s(literal 3 binary64)) (pow.f64 (/.f64 n (neg.f64 f)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 #s(literal 0 binary64) (neg.f64 f)) (fma.f64 (/.f64 n f) (/.f64 n f) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 n (neg.f64 f))))))
(pow.f64 (/.f64 f n) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 n (/.f64 #s(literal 1 binary64) f))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (neg.f64 f)))
(*.f64 #s(literal -1 binary64) (/.f64 n (neg.f64 f)))
(*.f64 (/.f64 #s(literal 1 binary64) f) n)
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) f))

eval217.0ms (2.9%)

Memory: 17.9MiB live, 249.9MiB allocated
Compiler: Compiled 25 634 to 2 598 computations (89.9% saved)

prune777.0ms (10.4%)

Memory

-18.6MiB live, 218.6MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 261	1	1 262
Fresh	1	0	1
Picked	0	5	5
Done	0	4	4
Total	1 262	10	1 272

Accuracy

100.0%

Counts

1 272 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	83.0%	(/.f64 #s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)) (-.f64 n f))
✓	85.9%	(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))
✓	53.9%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	47.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	47.8%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	52.8%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	53.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	46.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 94 to 54 computations (42.6% saved)

simplify459.0ms (6.2%)

Memory

40.3MiB live, 230.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 n f)
cost-diff	0	#s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f))
cost-diff	0	(/.f64 #s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)) (-.f64 n f))
cost-diff	1216	(fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)

Rules

13 276×	`lower-fma.f32`
13 274×	`lower-fma.f64`
5 616×	`lower-*.f32`
5 614×	`lower-*.f64`
1 308×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	43
1	28	37
2	47	33
3	74	33
4	206	33
5	698	33
6	2068	33
7	3886	33
8	7598	33
0	8040	33

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.6%)

Memory

0.2MiB live, 37.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 n f)
accuracy	0	#s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f))
accuracy	0.01953125	(/.f64 #s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)) (-.f64 n f))
accuracy	10.521912087006449	(fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)

Samples

31.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 17.0ms (69.3% of total)

ival-mult: 3.0ms (12.2% of total)

ival-add: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4.1% 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)

series3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify284.0ms (3.8%)

Memory

-7.8MiB live, 397.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 840×	`lower-fma.f64`
13 840×	`lower-fma.f32`
3 908×	`lower-*.f64`
3 908×	`lower-*.f32`
1 886×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	527
1	398	508
2	1138	464
3	5080	446
0	8937	411

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 84

Calls

Call 1

Inputs
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)))
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)))
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)))
(* 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 n)

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

rewrite130.0ms (1.7%)

Memory

-12.2MiB live, 232.3MiB allocated

Rules

2 596×	`lower-fma.f32`
2 594×	`lower-fma.f64`
2 122×	`lower-*.f32`
2 120×	`lower-*.f64`
1 422×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	16	36
1	73	30
2	513	24
3	6442	24
0	9170	24

Stop Event

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

Counts

4 → 292

Calls

Call 1

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

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

eval121.0ms (1.6%)

Memory: -56.0MiB live, 150.2MiB allocated
Compiler: Compiled 8 496 to 821 computations (90.3% saved)

prune134.0ms (1.8%)

Memory

-8.4MiB live, 113.3MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	376	10	386

Accuracy

100.0%

Counts

386 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	83.0%	(/.f64 #s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)) (-.f64 n f))
✓	85.9%	(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))
✓	53.9%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	47.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	47.8%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	52.8%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	53.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	46.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 257 to 104 computations (59.5% saved)

regimes16.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

17 → 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))
#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)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (+ f n) (fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) f) f)) (-.f64 n f))
(.f64 (fma.f64 (neg.f64 n) (-.f64 f n) (.f64 (-.f64 n f) f)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (/.f64 (-.f64 (.f64 (.f64 f f) (+.f64 f n)) (.f64 (+.f64 f n) (.f64 n n))) (*.f64 (+.f64 f n) (+.f64 f n))))

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

Calls

3 calls:

6.0ms	f
5.0ms	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)

regimes83.0ms (1.1%)

Memory

-17.9MiB live, 20.0MiB 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))
#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)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(approx (+ f n) (fma.f64 f (/.f64 n f) f)) (-.f64 n f))

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

Calls

3 calls:

74.0ms	n
5.0ms	f
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)

regimes10.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

8 → 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))
#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)))

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:

3.0ms	n
3.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
78.7%	3	`f`
76.2%	3	`n`
98.4%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#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
98.1%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
97.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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
97.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

-34.2MiB live, 4.3MiB 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
97.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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
46.3%	1	`n`
46.3%	1	`f`
46.3%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999926146	0.7154125077752421

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	-0.9999999999926146	0.7154125077752421

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999926146	0.7154125077752421

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999926146	0.7154125077752421

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch13.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.9999999999926146	0.7154125077752421

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)

simplify29.0ms (0.4%)

Memory

-32.5MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Rules

154×	`unsub-neg_binary64`
128×	`distribute-lft-neg-in_binary64`
102×	`neg-mul-1_binary64`
64×	`neg-sub0_binary64`
60×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	205
1	62	205
2	86	205
3	106	199
4	124	199
5	156	199
6	190	199
7	250	199
8	324	199
9	378	199
10	430	199
11	474	199
12	508	199
13	525	199
14	533	199

Stop Event

1×

saturated

Calls

Call 1

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

soundness890.0ms (12%)

Memory

20.9MiB live, 410.9MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
2 824×	`lower-*.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
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

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

Compiler

Compiled 238 to 98 computations (58.8% saved)

preprocess49.0ms (0.7%)

Memory: 4.1MiB live, 84.2MiB allocated
Compiler: Compiled 278 to 72 computations (74.1% 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	42	205
1	62	205
2	86	205
3	106	199
4	124	199
5	156	199
6	190	199
7	250	199
8	324	199
9	378	199
10	430	199
11	474	199
12	508	199
13	525	199
14	533	199

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	42	205
1	62	205
2	86	205
3	106	199
4	124	199
5	156	199
6	190	199
7	250	199
8	324	199
9	378	199
10	430	199
11	474	199
12	508	199
13	525	199
14	533	199

start0.0ms (0%)

analyze15.0ms (0.2%)

sample606.0ms (8.2%)

explain59.0ms (0.8%)

preprocess68.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.8%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

simplify392.0ms (5.3%)

rewrite272.0ms (3.7%)

eval77.0ms (1%)

prune113.0ms (1.5%)

simplify63.0ms (0.8%)

localize70.0ms (0.9%)

series23.0ms (0.3%)

simplify324.0ms (4.4%)

rewrite397.0ms (5.3%)

eval624.0ms (8.4%)

prune201.0ms (2.7%)

simplify182.0ms (2.4%)

localize75.0ms (1%)

series20.0ms (0.3%)

simplify255.0ms (3.4%)

rewrite246.0ms (3.3%)

eval217.0ms (2.9%)

prune777.0ms (10.4%)

simplify459.0ms (6.2%)

localize41.0ms (0.6%)

series3.0ms (0%)

simplify284.0ms (3.8%)

rewrite130.0ms (1.7%)

eval121.0ms (1.6%)

prune134.0ms (1.8%)

regimes16.0ms (0.2%)

regimes83.0ms (1.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

simplify29.0ms (0.4%)

soundness890.0ms (12%)

preprocess49.0ms (0.7%)

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	42	205
1	62	205
2	86	205
3	106	199
4	124	199
5	156	199
6	190	199
7	250	199
8	324	199
9	378	199
10	430	199
11	474	199
12	508	199
13	525	199
14	533	199