Metrics for subtraction fraction

analyze12.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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)

sample593.0ms (6.3%)

Memory

34.1MiB live, 753.3MiB allocated

Samples

343.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 56.0ms (30.3% of total)

ival-add: 46.0ms (24.9% of total)

ival-sub: 38.0ms (20.6% of total)

ival-neg: 37.0ms (20% of total)

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

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

Bogosity

preprocess70.0ms (0.7%)

Memory

-7.5MiB live, 68.1MiB 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))

explain79.0ms (0.8%)

Memory

-14.5MiB live, 110.1MiB 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

26.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize19.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 (+.f64 f n))
✓	accuracy	99.9%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (36.6% of total)

ival-sub: 1.0ms (18.3% of total)

ival-add: 1.0ms (18.3% of total)

ival-neg: 1.0ms (18.3% of total)

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

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

series5.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))>
#<alt (neg.f64 (+.f64 f n))>
#<alt (+.f64 f n)>
#<alt (-.f64 f n)>

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<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)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<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)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>

Calls

24 calls:

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

rewrite241.0ms (2.5%)

Memory

-7.9MiB live, 301.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n))))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n))) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (.f64 n n))) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.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 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 (fma.f64 f f (.f64 n n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 f n) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.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 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.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)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(fma.f64 (fma.f64 f f (.f64 n n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 f n) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(fma.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (neg.f64 (.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f)))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (-.f64 n f) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n)))) (.f64 (-.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (+.f64 f n)) (.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(/.f64 (neg.f64 (.f64 (+.f64 f n) (+.f64 f n))) (.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (fma.f64 f f (.f64 n (+.f64 f n)))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 f n)) (.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 n f)) (.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))) (*.f64 (-.f64 f n) (-.f64 n f)))
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(/.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 f f (.f64 n (-.f64 n 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 f f (.f64 n (+.f64 f n))))) (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 f f (.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f 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 f f (.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f (.f64 f (.f64 f f)) (.f64 (.f64 n n) (fma.f64 f f (.f64 n n)))))
(/.f64 (.f64 (.f64 (fma.f64 f f (.f64 n n)) (.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f f (*.f64 n n)))
(/.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 f f (.f64 n (-.f64 n 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 f f (.f64 n (+.f64 f n)))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n)))))
(.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n)))) #s(literal 1 binary64)))
(.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n))))))
(*.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 f f (.f64 n (+.f64 f n))) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f f (.f64 n (+.f64 f n))))))
(.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 f f (.f64 n (+.f64 f n)))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 f f (.f64 n (-.f64 n f))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (/.f64 (fma.f64 f f (.f64 n (-.f64 n f))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(.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 f f (*.f64 n (-.f64 n 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 f f (.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))))
(.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 f f (*.f64 n (-.f64 n 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 f f (.f64 n (-.f64 n 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 f f (.f64 n (+.f64 f n)))) (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 f f (.f64 n (+.f64 f n)))) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.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 f f (.f64 n (-.f64 n 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)))

simplify581.0ms (6.1%)

Memory

-27.2MiB live, 589.8MiB 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)

eval80.0ms (0.8%)

Memory: 5.6MiB live, 211.7MiB allocated
Compiler: Compiled 15 932 to 1 649 computations (89.6% saved)

prune129.0ms (1.4%)

Memory

-7.7MiB live, 151.2MiB 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
▶	52.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
	56.9%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
	49.0%	(/.f64 (neg.f64 n) (-.f64 f n))
▶	52.3%	(/.f64 (neg.f64 f) (-.f64 f n))
▶	99.9%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
▶	49.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	47.9%	#s(literal 1 binary64)
▶	51.2%	#s(literal -1 binary64)

Compiler

Compiled 186 to 114 computations (38.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize62.0ms (0.7%)

Memory

3.3MiB live, 80.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) f)
✓	accuracy	99.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 f f) n)
✓	accuracy	100.0%	(+.f64 f f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 (neg.f64 f) (-.f64 f n))
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(/.f64 (neg.f64 n) (-.f64 f n))
✓	accuracy	100.0%	(/.f64 f (-.f64 f n))
✓	accuracy	99.9%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Samples

42.0ms

256×

valid

Compiler

Compiled 78 to 20 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 15.0ms (50.2% of total)

ival-div: 8.0ms (26.8% of total)

ival-sub: 2.0ms (6.7% of total)

ival-mult: 2.0ms (6.7% of total)

ival-neg: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

12 → 240

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)>
#<alt (- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ f n))>
#<alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))>
#<alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))>
#<alt (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))>
#<alt (+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))>
#<alt (* -1 (/ f n))>
#<alt (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (* -1 (/ f n))>
#<alt (* -1 (/ (+ f (/ (pow f 2) n)) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>

Calls

60 calls:

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

rewrite344.0ms (3.6%)

Memory

-6.4MiB live, 510.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 184×	`lower-*.f64`
5 184×	`lower-*.f32`
4 690×	`lower-/.f32`
4 680×	`lower-/.f64`
3 196×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
0	30	56
1	138	56
2	1274	56
0	8471	55

Stop Event

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

Counts

12 → 580

Calls

Call 1

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

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

simplify386.0ms (4.1%)

Memory

-9.9MiB live, 632.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 512×	`lower-fma.f64`
13 512×	`lower-fma.f32`
3 904×	`lower-*.f64`
3 904×	`lower-*.f32`
2 882×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	1918
1	1072	1794
2	2907	1623
3	7492	1623
0	8070	1499

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

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

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

eval248.0ms (2.6%)

Memory: 24.8MiB live, 210.1MiB allocated
Compiler: Compiled 16 873 to 1 869 computations (88.9% saved)

prune104.0ms (1.1%)

Memory

-3.3MiB live, 256.6MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	928	1	929
Fresh	0	5	5
Picked	0	5	5
Done	0	0	0
Total	928	11	939

Accuracy

100.0%

Counts

939 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
	56.9%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
▶	49.0%	(/.f64 (neg.f64 n) (-.f64 f n))
✓	52.3%	(/.f64 (neg.f64 f) (-.f64 f n))
✓	99.9%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
▶	51.9%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	49.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶	47.9%	#s(literal 1 binary64)
✓	51.2%	#s(literal -1 binary64)

Compiler

Compiled 158 to 97 computations (38.6% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize63.0ms (0.7%)

Memory

-6.0MiB live, 71.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(/.f64 (neg.f64 n) (-.f64 f n))
✓	accuracy	100.0%	(/.f64 n f)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))

Samples

26.0ms

256×

valid

Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 6.0ms (39.1% of total)

ival-sub: 3.0ms (19.6% of total)

ival-add: 3.0ms (19.6% of total)

ival-mult: 2.0ms (13% of total)

ival-neg: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

10 → 228

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>

Calls

57 calls:

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

rewrite280.0ms (3%)

Memory

11.9MiB live, 479.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 674×	`lower-fma.f64`
5 674×	`lower-fma.f32`
4 618×	`lower-*.f32`
4 616×	`lower-*.f64`
3 634×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	24	44
1	105	43
2	808	43
0	9034	43

Stop Event

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

Counts

10 → 1 056

Calls

Call 1

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

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

simplify409.0ms (4.3%)

Memory

5.3MiB live, 514.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 090×	`lower-fma.f64`
13 090×	`lower-fma.f32`
4 002×	`lower-*.f64`
4 002×	`lower-*.f32`
2 958×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	1701
1	917	1591
2	2605	1428
3	7396	1428
0	8073	1341

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 216

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

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 f n) (+.f64 (/.f64 (+.f64 f f) 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.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 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 n (/.f64 (.f64 (.f64 n n) #s(literal -2 binary64)) (.f64 f (.f64 f f))) (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #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 (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
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eval2.2s (23.5%)

Memory: -9.8MiB live, 251.6MiB allocated
Compiler: Compiled 35 056 to 2 470 computations (93% saved)

prune1.1s (11.4%)

Memory

11.8MiB live, 231.7MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 523	3	1 526
Fresh	1	0	1
Picked	1	4	5
Done	1	4	5
Total	1 526	11	1 537

Accuracy

100.0%

Counts

1 537 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	56.9%	(/.f64 (+.f64 f n) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 f n))))
✓	52.3%	(/.f64 (neg.f64 f) (-.f64 f n))
▶	99.9%	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓	51.9%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	49.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
▶	48.8%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	47.9%	#s(literal 1 binary64)
✓	51.2%	#s(literal -1 binary64)

Compiler

Compiled 97 to 62 computations (36.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize91.0ms (1%)

Memory

-16.0MiB live, 99.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(*.f64 (-.f64 n f) (-.f64 f n))
✓	accuracy	100.0%	(/.f64 (+.f64 f n) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 f n))))
✓	accuracy	58.5%	(.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 f n)))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(/.f64 f (-.f64 n f))
✓	accuracy	99.9%	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓	accuracy	100.0%	(/.f64 f n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))

Samples

72.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

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

ival-sub: 44.0ms (73.2% of total)

ival-div: 8.0ms (13.3% of total)

ival-add: 4.0ms (6.7% of total)

ival-mult: 3.0ms (5% 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)

series8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.f64 f n)>
#<alt (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))>
#<alt (/.f64 f (-.f64 n f))>
#<alt (-.f64 f n)>
#<alt (-.f64 n f)>
#<alt (.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 f n)))>
#<alt (/.f64 (+.f64 f n) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 f n))))>
#<alt (*.f64 (-.f64 n f) (-.f64 f n))>
#<alt (+.f64 f n)>

Outputs
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (+ (* 2 (/ n f)) (/ (pow n 2) (pow f 2)))))>
#<alt (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* 2 (/ n f)) (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f))) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ f n)) (/ (pow f 2) (pow n 2)))) (* -1 (/ (pow f 2) (pow n 2))))>
#<alt (- (+ 1 (+ (* 2 (/ f n)) (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3))))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 f)>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<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)>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<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)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt (* -1 (pow f 2))>
#<alt (+ (* -1 (pow f 2)) (* 2 (* f n)))>
#<alt (+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))>
#<alt (+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))>
#<alt (* -1 (pow n 2))>
#<alt (* (pow n 2) (- (* 2 (/ f n)) 1))>
#<alt (* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))>
#<alt (* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))>
#<alt (* -1 (pow n 2))>
#<alt (* (pow n 2) (- (* 2 (/ f n)) 1))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))>
#<alt (* -1 (pow n 2))>
#<alt (+ (* -1 (pow n 2)) (* 2 (* f n)))>
#<alt (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))>
#<alt (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))>
#<alt (* -1 (pow f 2))>
#<alt (* (pow f 2) (- (* 2 (/ n f)) 1))>
#<alt (* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))>
#<alt (* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))>
#<alt (* -1 (pow f 2))>
#<alt (* (pow f 2) (- (* 2 (/ n f)) 1))>
#<alt (* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))>
#<alt (* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>

Calls

60 calls:

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

rewrite424.0ms (4.5%)

Memory

7.5MiB live, 560.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 692×	`lower-*.f32`
5 688×	`lower-*.f64`
5 036×	`lower-/.f32`
5 026×	`lower-/.f64`
2 560×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	70
0	28	70
1	128	68
2	1226	52
0	8594	52

Stop Event

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

Counts

10 → 586

Calls

Call 1

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

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

simplify434.0ms (4.6%)

Memory

-6.6MiB live, 747.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 934×	`lower-fma.f64`
16 934×	`lower-fma.f32`
3 656×	`lower-+.f64`
3 656×	`lower-+.f32`
3 474×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	1932
1	1041	1827
2	3016	1634
0	8150	1541

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 225

Calls

Call 1

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

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

eval347.0ms (3.7%)

Memory: -5.8MiB live, 205.6MiB allocated
Compiler: Compiled 24 312 to 2 398 computations (90.1% saved)

prune111.0ms (1.2%)

Memory

16.3MiB live, 213.3MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	982	0	982
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	982	11	993

Accuracy

100.0%

Counts

993 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	56.9%	(/.f64 (+.f64 f n) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 f n))))
✓	52.3%	(/.f64 (neg.f64 f) (-.f64 f n))
✓	99.9%	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓	51.9%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	49.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓	48.8%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	47.9%	#s(literal 1 binary64)
✓	51.2%	#s(literal -1 binary64)

Compiler

Compiled 218 to 101 computations (53.7% saved)

regimes16.0ms (0.2%)

Memory

-3.7MiB live, 33.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`f`
99.9%	1	`n`
99.9%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

-16.9MiB live, 22.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	n
3.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
80.2%	3	`f`
75.6%	3	`n`
97.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

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)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.2%	1	`n`
51.2%	1	`f`
51.2%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.833374610134102	0.7335723844970098

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	-0.833374610134102	0.7335723844970098

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch2.0ms (0%)

Memory

-41.4MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.833374610134102	0.7335723844970098

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch13.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.833374610134102	0.7335723844970098

Samples

4.0ms

240×

valid

Compiler

Compiled 133 to 131 computations (1.5% 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)

simplify15.0ms (0.2%)

Memory

-21.3MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`unsub-neg_binary64`
78×	`distribute-lft-neg-in_binary64`
62×	`neg-mul-1_binary64`
38×	`cancel-sign-sub_binary64`
38×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	82
1	42	82
2	61	82
3	76	78
4	92	78
5	124	78
6	161	78
7	216	78
8	272	78
9	302	78
10	323	78
11	328	78

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness926.0ms (9.8%)

Memory

9.3MiB live, 608.6MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
13 512×	`lower-fma.f64`
13 512×	`lower-fma.f32`
13 090×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	1918
1	1072	1794
2	2907	1623
3	7492	1623
0	8070	1499
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17
0	295	1701
1	917	1591
2	2605	1428
3	7396	1428
0	8073	1341
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 170 to 85 computations (50% saved)

preprocess34.0ms (0.4%)

Memory: 24.1MiB live, 99.4MiB allocated
Compiler: Compiled 180 to 56 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	82
1	42	82
2	61	82
3	76	78
4	92	78
5	124	78
6	161	78
7	216	78
8	272	78
9	302	78
10	323	78
11	328	78

Iter	Nodes	Cost
0	25	82
1	42	82
2	61	82
3	76	78
4	92	78
5	124	78
6	161	78
7	216	78
8	272	78
9	302	78
10	323	78
11	328	78

analyze12.0ms (0.1%)

sample593.0ms (6.3%)

preprocess70.0ms (0.7%)

explain79.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize19.0ms (0.2%)

series5.0ms (0%)

rewrite241.0ms (2.5%)

simplify581.0ms (6.1%)

eval80.0ms (0.8%)

prune129.0ms (1.4%)

simplify0.0ms (0%)

localize62.0ms (0.7%)

series15.0ms (0.2%)

rewrite344.0ms (3.6%)

simplify386.0ms (4.1%)

eval248.0ms (2.6%)

prune104.0ms (1.1%)

simplify0.0ms (0%)

localize63.0ms (0.7%)

series10.0ms (0.1%)

rewrite280.0ms (3%)

simplify409.0ms (4.3%)

eval2.2s (23.5%)

prune1.1s (11.4%)

simplify0.0ms (0%)

localize91.0ms (1%)

series8.0ms (0.1%)

rewrite424.0ms (4.5%)

simplify434.0ms (4.6%)

eval347.0ms (3.7%)

prune111.0ms (1.2%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch13.0ms (0.1%)

simplify15.0ms (0.2%)

soundness926.0ms (9.8%)

preprocess34.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	82
1	42	82
2	61	82
3	76	78
4	92	78
5	124	78
6	161	78
7	216	78
8	272	78
9	302	78
10	323	78
11	328	78