Metrics for subtraction fraction

analyze12.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB 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)

sample582.0ms (7.1%)

Memory

5.5MiB live, 730.5MiB allocated

Samples

376.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-div: 73.0ms (35.1% of total)

ival-add: 48.0ms (23.1% of total)

ival-sub: 40.0ms (19.3% of total)

ival-neg: 38.0ms (18.3% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess69.0ms (0.8%)

Memory

8.4MiB live, 83.5MiB allocated

Algorithm

2×	egg-herbie

Rules

446×	`times-frac`
332×	`div-sub`
304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
224×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	54
1	72	42
2	196	42
3	547	42
4	1424	42
5	1628	42
6	1656	42
7	1724	42
8	1781	42
0	6	8
1	17	8
2	37	8
3	74	7
4	159	7
5	303	7
6	600	7
7	723	7
8	755	7
9	771	7
10	772	7
0	772	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain81.0ms (1%)

Memory

16.4MiB live, 102.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 3.0ms (25.4% of total)

ival-div: 3.0ms (25.4% of total)

ival-add: 3.0ms (25.4% of total)

ival-neg: 2.0ms (17% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify28.0ms (0.3%)

Memory

-18.5MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
224×	`div-sub`
176×	`-lowering-.f32`
176×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	17	20
2	37	20
3	74	19
4	159	19
5	303	19
6	600	19
7	723	19
8	755	19
9	771	19
10	772	19
0	772	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-2.0MiB live, 35.8MiB 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	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

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

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

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

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

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

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

series5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/ (neg (+ f n)) (- f n))>
#<alt (neg (+ f n))>
#<alt (+ f n)>
#<alt (- 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	@	inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	0	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	-inf	(/ (neg (+ f n)) (- f n))
0.0ms	n	@	-inf	(/ (neg (+ f n)) (- f n))

rewrite236.0ms (2.9%)

Memory

19.3MiB live, 327.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 824×	`-lowering-.f32`
2 824×	`-lowering-.f64`
2 620×	`/-lowering-/.f32`
2 620×	`/-lowering-/.f64`
1 912×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	42	18
2	323	17
0	5527	17

Stop Event

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

Counts

4 → 572

Calls

Call 1

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

simplify547.0ms (6.7%)

Memory

-7.1MiB live, 602.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 778×	`accelerator-lowering-fma.f32`
14 778×	`accelerator-lowering-fma.f64`
3 728×	`-lowering-.f32`
3 728×	`-lowering-.f64`
1 970×	`+-lowering-+.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 → 96

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)

eval86.0ms (1.1%)

Memory: -17.6MiB live, 190.8MiB allocated
Compiler: Compiled 15 986 to 1 649 computations (89.7% saved)

prune106.0ms (1.3%)

Memory

-3.0MiB live, 156.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	658	10	668
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	659	10	669

Accuracy

100.0%

Counts

669 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
	57.8%	(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
	43.0%	(/.f64 (neg.f64 (+.f64 f n)) (/.f64 (-.f64 (.f64 (.f64 f f) (+.f64 f n)) (.f64 (+.f64 f n) (.f64 n n))) (*.f64 (+.f64 f n) (+.f64 f n))))
	58.4%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
▶	47.2%	(/.f64 (neg.f64 (+.f64 f n)) f)
	54.0%	(/.f64 (neg.f64 n) (-.f64 f n))
▶	47.6%	(/.f64 (neg.f64 f) (-.f64 f n))
	52.9%	#s(literal 1 binary64)
▶	46.4%	#s(literal -1 binary64)

Compiler

Compiled 240 to 126 computations (47.5% saved)

simplify535.0ms (6.5%)

Memory

-6.8MiB live, 357.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

7 256×	`accelerator-lowering-fma.f32`
7 256×	`accelerator-lowering-fma.f64`
1 928×	`-lowering-.f32`
1 928×	`-lowering-.f64`
1 606×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	46	76
2	112	75
3	263	74
4	522	74
5	1462	74
6	3812	74
7	5671	74
8	6307	74
9	6427	74
10	6453	74
11	6455	74
12	6461	74
13	6486	74
14	6559	74
15	6559	74
16	6971	74
17	7171	74
18	7221	74
19	7221	74
20	7221	74
21	7221	74
0	7221	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ f n) (- n f))
(+ f n)
f
n
(- n f)
-1
(/ (neg f) (- f n))
(neg f)
f
(- f n)
n
(/ (neg (+ f n)) f)
(neg (+ f n))
(+ f n)
f
n
(+ (* (/ (+ f f) n) (+ 1 (/ f n))) 1)
(/ (+ f f) n)
(+ f f)
f
n
(+ 1 (/ f n))
1
(/ f n)

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

localize62.0ms (0.8%)

Memory

26.9MiB live, 64.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 f f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	accuracy	99.8%	(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 f f) n)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 (+.f64 f n))
✓	accuracy	100.0%	(/.f64 (neg.f64 (+.f64 f n)) f)
✓	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%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Samples

44.0ms

256×

valid

Compiler

Compiled 77 to 20 computations (74% saved)

Precisions

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

ival-sub: 15.0ms (47.3% of total)

ival-div: 8.0ms (25.2% of total)

ival-add: 5.0ms (15.8% of total)

ival-neg: 2.0ms (6.3% of total)

ival-mult: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-4.1MiB live, 35.1MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#<alt (/ (+ f n) (- n f))>
#<alt (+ f n)>
#<alt (- n f)>
#<alt (/ (neg f) (- f n))>
#<alt (neg f)>
#<alt (- f n)>
#<alt (/ (neg (+ f n)) f)>
#<alt (neg (+ f n))>
#<alt (+ (* (/ (+ f f) n) (+ 1 (/ f n))) 1)>
#<alt (/ (+ f f) n)>
#<alt (+ f f)>
#<alt (+ 1 (/ 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 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 (/ 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 (/ n f))>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt (/ (+ (* -1 f) (* -1 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 -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)>
#<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 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (* 2 (/ (pow f 2) (pow n 2)))>
#<alt (* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* 2 (/ (pow f 2) (pow n 2)))>
#<alt (* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* 2 (/ (pow f 2) (pow n 2)))>
#<alt (/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))>
#<alt (/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))>
#<alt (/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) 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 (* 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 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))>

Calls

66 calls:

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

rewrite332.0ms (4.1%)

Memory

-16.4MiB live, 617.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 366×	`/-lowering-/.f32`
5 366×	`/-lowering-/.f64`
4 586×	`-lowering-.f32`
4 586×	`-lowering-.f64`
2 896×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	128	60
2	1249	60
0	8642	59

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 732

Calls

Call 1

Inputs
(/ (+ f n) (- n f))
(+ f n)
(- n f)
(/ (neg f) (- f n))
(neg f)
(- f n)
(/ (neg (+ f n)) f)
(neg (+ f n))
(+ (* (/ (+ f f) n) (+ 1 (/ f n))) 1)
(/ (+ f f) n)
(+ f f)
(+ 1 (/ f n))

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

simplify552.0ms (6.8%)

Memory

3.0MiB live, 575.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 470×	`accelerator-lowering-fma.f32`
11 470×	`accelerator-lowering-fma.f64`
3 336×	`-lowering-.f32`
3 336×	`-lowering-.f64`
2 380×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	1612
1	815	1566
2	2369	1445
3	6793	1437
0	8115	1370

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval130.0ms (1.6%)

Memory: 5.0MiB live, 262.4MiB allocated
Compiler: Compiled 19 341 to 2 230 computations (88.5% saved)

prune111.0ms (1.4%)

Memory

29.6MiB live, 272.1MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 066	6	1 072
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	1 071	11	1 082

Accuracy

100.0%

Counts

1 082 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.9%	(/.f64 (fma.f64 n n (.f64 (+.f64 f f) (+.f64 f n))) (.f64 n n))
	40.5%	(/.f64 (+.f64 f n) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 f (.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 f f (*.f64 #s(literal 0 binary64) f)))) n))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	53.6%	(/.f64 (+.f64 f n) n)
	57.8%	(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
▶	58.4%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
	54.0%	(/.f64 n (-.f64 n f))
▶	47.6%	(/.f64 f (-.f64 n f))
	47.2%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	52.9%	#s(literal 1 binary64)
✓	46.4%	#s(literal -1 binary64)

Compiler

Compiled 230 to 126 computations (45.2% saved)

simplify303.0ms (3.7%)

Memory

-11.1MiB live, 467.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 f f)
✓	cost-diff	0	(*.f64 (+.f64 f f) (+.f64 f n))
✓	cost-diff	0	(fma.f64 n n (*.f64 (+.f64 f f) (+.f64 f n)))
✓	cost-diff	0	(/.f64 (fma.f64 n n (.f64 (+.f64 f f) (+.f64 f n))) (.f64 n n))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 f (-.f64 n f))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(neg.f64 (+.f64 f n))
✓	cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
✓	cost-diff	1728	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n)))

Rules

12 668×	`accelerator-lowering-fma.f32`
12 668×	`accelerator-lowering-fma.f64`
2 986×	`-lowering-.f32`
2 986×	`-lowering-.f64`
1 860×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	131
1	50	106
2	165	100
3	510	100
4	2440	100
5	4967	100
0	8278	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (neg (+ f n)) (* (/ 1 (- f n)) (* (- f n) (- f n))))
(neg (+ f n))
(+ f n)
f
n
(* (/ 1 (- f n)) (* (- f n) (- f n)))
(/ 1 (- f n))
1
(- f n)
(* (- f n) (- f n))
1
(/ f (- n f))
f
(- n f)
n
(/ (+ f n) n)
(+ f n)
f
n
(/ (+ (* n n) (* (+ f f) (+ f n))) (* n n))
(+ (* n n) (* (+ f f) (+ f n)))
n
(* (+ f f) (+ f n))
(+ f f)
f
(+ f n)
(* n n)

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

localize105.0ms (1.3%)

Memory

6.1MiB live, 82.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 n n)
✓	accuracy	100.0%	(*.f64 (+.f64 f f) (+.f64 f n))
✓	accuracy	96.9%	(fma.f64 n n (*.f64 (+.f64 f f) (+.f64 f n)))
✓	accuracy	69.1%	(/.f64 (fma.f64 n n (.f64 (+.f64 f f) (+.f64 f n))) (.f64 n n))
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) n)
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 f (-.f64 n f))
✓	accuracy	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 f n))
✓	accuracy	100.0%	(*.f64 (-.f64 f n) (-.f64 f n))
✓	accuracy	60.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n)))

Samples

35.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

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

ival-div: 8.0ms (37.1% of total)

ival-mult: 6.0ms (27.8% of total)

ival-add: 4.0ms (18.6% of total)

ival-sub: 3.0ms (13.9% of total)

ival-neg: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series16.0ms (0.2%)

Memory

-19.0MiB live, 20.9MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#<alt (* (/ 1 (- f n)) (* (- f n) (- f n)))>
#<alt (/ (neg (+ f n)) (* (/ 1 (- f n)) (* (- f n) (- f n))))>
#<alt (neg (+ f n))>
#<alt (+ f n)>
#<alt (/ f (- n f))>
#<alt (- n f)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ (* n n) (* (+ f f) (+ f n))) (* n n))>
#<alt (+ (* n n) (* (+ f f) (+ f n)))>
#<alt (* (+ f f) (+ f n))>
#<alt (+ f f)>
#<alt (* (- f n) (- f n))>
#<alt (/ 1 (- f n))>
#<alt (* n n)>

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

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(* (+ f f) (+ f n))
2.0ms	n	@	inf	(/ f (- n f))
1.0ms	n	@	inf	(* (- f n) (- f n))
0.0ms	f	@	0	(/ (+ (* n n) (* (+ f f) (+ f n))) (* n n))
0.0ms	f	@	inf	(/ 1 (- f n))

rewrite81.0ms (1%)

Memory

10.1MiB live, 123.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

656×	`/-lowering-/.f32`
656×	`/-lowering-/.f64`
636×	`-lowering-.f32`
636×	`-lowering-.f64`
440×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	126	80
0	1217	78

Stop Event

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

Counts

14 → 312

Calls

Call 1

Inputs
(* (/ 1 (- f n)) (* (- f n) (- f n)))
(/ (neg (+ f n)) (* (/ 1 (- f n)) (* (- f n) (- f n))))
(neg (+ f n))
(+ f n)
(/ f (- n f))
(- n f)
(/ (+ f n) n)
(/ (+ (* n n) (* (+ f f) (+ f n))) (* n n))
(+ (* n n) (* (+ f f) (+ f n)))
(* (+ f f) (+ f n))
(+ f f)
(* (- f n) (- f n))
(/ 1 (- f n))
(* n n)

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

simplify414.0ms (5.1%)

Memory

42.1MiB live, 587.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 936×	`accelerator-lowering-fma.f32`
13 936×	`accelerator-lowering-fma.f64`
4 244×	`-lowering-.f32`
4 244×	`-lowering-.f64`
3 546×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	2682
1	1242	2540
2	3634	2360
0	8539	2216

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval326.0ms (4%)

Memory: -17.8MiB live, 154.1MiB allocated
Compiler: Compiled 11 985 to 1 258 computations (89.5% saved)

prune66.0ms (0.8%)

Memory

-6.5MiB live, 147.7MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	711	1	712
Fresh	1	3	4
Picked	0	5	5
Done	0	2	2
Total	712	11	723

Accuracy

100.0%

Counts

723 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.9%	(/.f64 (fma.f64 n n (.f64 (+.f64 f f) (+.f64 f n))) (.f64 n n))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	53.6%	(/.f64 (+.f64 f n) n)
▶	57.8%	(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
▶	58.3%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 n (-.f64 n (+.f64 f f)) (.f64 f f))))
✓	58.4%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
▶	54.0%	(/.f64 n (-.f64 n f))
✓	47.6%	(/.f64 f (-.f64 n f))
▶	47.2%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	52.9%	#s(literal 1 binary64)
✓	46.4%	#s(literal -1 binary64)

Compiler

Compiled 119 to 66 computations (44.5% saved)

simplify374.0ms (4.6%)

Memory

24.0MiB live, 377.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(*.f64 (+.f64 f n) (-.f64 n f))
✓	cost-diff	1024	(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
✓	cost-diff	0	(neg.f64 (+.f64 f n))
✓	cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 n (-.f64 n (+.f64 f f)) (.f64 f f))))
✓	cost-diff	384	(fma.f64 n (-.f64 n (+.f64 f f)) (*.f64 f f))
✓	cost-diff	1728	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 n (-.f64 n (+.f64 f f)) (.f64 f f)))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n (-.f64 n f))
✓	cost-diff	0	(/.f64 n f)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 n f))

Rules

9 890×	`accelerator-lowering-fma.f32`
9 890×	`accelerator-lowering-fma.f64`
2 726×	`-lowering-.f32`
2 726×	`-lowering-.f64`
1 600×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	162
1	62	154
2	200	154
3	574	112
4	2617	96
5	6576	96
0	8119	95

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- -1 (/ n f))
-1
(/ n f)
n
f
(/ n (- n f))
n
(- n f)
f
(/ (neg (+ f n)) (* (/ 1 (- f n)) (+ (* n (- n (+ f f))) (* f f))))
(neg (+ f n))
(+ f n)
f
n
(* (/ 1 (- f n)) (+ (* n (- n (+ f f))) (* f f)))
(/ 1 (- f n))
1
(- f n)
(+ (* n (- n (+ f f))) (* f f))
(- n (+ f f))
(+ f f)
(* f f)
(/ (* (+ f n) (- n f)) (* (- n f) (- n f)))
(* (+ f n) (- n f))
(+ f n)
f
n
(- n f)
(* (- n f) (- n f))

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

localize97.0ms (1.2%)

Memory

-31.0MiB live, 108.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(*.f64 (+.f64 f n) (-.f64 n f))
✓	accuracy	100.0%	(*.f64 (-.f64 n f) (-.f64 n f))
✓	accuracy	58.6%	(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
✓	accuracy	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 n (-.f64 n (+.f64 f f)) (.f64 f f))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 f n))
✓	accuracy	99.7%	(fma.f64 n (-.f64 n (+.f64 f f)) (*.f64 f f))
✓	accuracy	60.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 n (-.f64 n (+.f64 f f)) (.f64 f f)))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 n (-.f64 n f))
✓	accuracy	100.0%	(/.f64 n f)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 n f))

Samples

51.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions

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

ival-div: 9.0ms (33.8% of total)

ival-mult: 7.0ms (26.3% of total)

ival-sub: 6.0ms (22.5% of total)

ival-add: 3.0ms (11.3% of total)

ival-neg: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series17.0ms (0.2%)

Memory

-6.9MiB live, 31.0MiB allocated

Counts

13 → 312

Calls

Call 1

Inputs
#<alt (- -1 (/ n f))>
#<alt (/ n f)>
#<alt (/ n (- n f))>
#<alt (- n f)>
#<alt (* (/ 1 (- f n)) (+ (* n (- n (+ f f))) (* f f)))>
#<alt (+ (* n (- n (+ f f))) (* f f))>
#<alt (/ (neg (+ f n)) (* (/ 1 (- f n)) (+ (* n (- n (+ f f))) (* f f))))>
#<alt (neg (+ f n))>
#<alt (/ (* (+ f n) (- n f)) (* (- n f) (- n f)))>
#<alt (* (+ f n) (- n f))>
#<alt (+ f n)>
#<alt (/ 1 (- f n))>
#<alt (* (- n f) (- n f))>

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

Calls

78 calls:

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

rewrite611.0ms (7.5%)

Memory

4.1MiB live, 637.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`accelerator-lowering-fma.f32`
5 364×	`accelerator-lowering-fma.f64`
5 190×	`/-lowering-/.f32`
5 190×	`/-lowering-/.f64`
3 824×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
1	160	93
2	1588	93
0	8271	87

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 781

Calls

Call 1

Inputs
(- -1 (/ n f))
(/ n f)
(/ n (- n f))
(- n f)
(* (/ 1 (- f n)) (+ (* n (- n (+ f f))) (* f f)))
(+ (* n (- n (+ f f))) (* f f))
(/ (neg (+ f n)) (* (/ 1 (- f n)) (+ (* n (- n (+ f f))) (* f f))))
(neg (+ f n))
(/ (* (+ f n) (- n f)) (* (- n f) (- n f)))
(* (+ f n) (- n f))
(+ f n)
(/ 1 (- f n))
(* (- n f) (- n f))

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

simplify357.0ms (4.4%)

Memory

7.6MiB live, 637.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 018×	`accelerator-lowering-fma.f32`
9 018×	`accelerator-lowering-fma.f64`
3 058×	`-lowering-.f32`
3 058×	`-lowering-.f64`
2 776×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	3217
1	1865	2805
2	6421	2636
0	8347	2483

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval260.0ms (3.2%)

Memory: 47.0MiB live, 388.6MiB allocated
Compiler: Compiled 37 499 to 3 231 computations (91.4% saved)

prune207.0ms (2.5%)

Memory

-7.7MiB live, 318.6MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 400	1	1 401
Fresh	0	0	0
Picked	1	3	4
Done	1	6	7
Total	1 402	10	1 412

Accuracy

100.0%

Counts

1 412 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.9%	(/.f64 (fma.f64 n n (.f64 (+.f64 f f) (+.f64 f n))) (.f64 n n))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	53.6%	(/.f64 (+.f64 f n) n)
✓	57.8%	(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
	89.7%	(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 f (/.f64 n (neg.f64 f)) f))
✓	54.0%	(/.f64 n (-.f64 n f))
✓	47.6%	(/.f64 f (-.f64 n f))
✓	47.2%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	52.9%	#s(literal 1 binary64)
✓	46.4%	#s(literal -1 binary64)

Compiler

Compiled 290 to 110 computations (62.1% saved)

regimes21.0ms (0.3%)

Memory

-0.2MiB live, 41.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
6.0ms	n
6.0ms	f

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

-9.3MiB live, 29.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.8%	3	`f`
75.0%	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

7.1MiB live, 7.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

-33.5MiB live, 5.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes1.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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
97.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

13.7MiB live, 13.7MiB 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	n
1.0ms	f
1.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
46.4%	1	`n`
46.4%	1	`f`
46.4%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9997873093067401	0.9790482026718487

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9997873093067401	0.9790482026718487

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	-0.9997873093067401	0.9790482026718487

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	-0.9997873093067401	0.9790482026718487

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch14.0ms (0.2%)

Memory

-12.1MiB live, 25.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.9997873093067401	0.9790482026718487

Samples

6.0ms

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

24.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`unsub-neg_binary64`
78×	`distribute-lft-neg-in_binary64`
62×	`neg-mul-1_binary64`
44×	`neg-sub0_binary64`
34×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	97
1	39	97
2	58	97
3	73	92
4	90	92
5	126	92
6	168	92
7	223	92
8	282	92
9	311	92
10	322	92

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 f (-.f64 n f)) (/.f64 (+.f64 f n) n))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 f (-.f64 n f)) (/.f64 (+.f64 f n) n))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (/.f64 (+.f64 f n) n))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.1s (13.4%)

Memory

-37.2MiB live, 508.8MiB allocated

Rules

14 778×	`accelerator-lowering-fma.f32`
14 778×	`accelerator-lowering-fma.f64`
11 470×	`accelerator-lowering-fma.f32`
11 470×	`accelerator-lowering-fma.f64`
3 728×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	1612
1	815	1566
2	2369	1445
3	6793	1437
0	8115	1370
0	6	18
1	42	18
2	323	17
0	5527	17
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

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

Compiler

Compiled 213 to 96 computations (54.9% saved)

preprocess255.0ms (3.1%)

Memory: 3.1MiB live, 80.9MiB allocated
Compiler: Compiled 208 to 54 computations (74% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	20
1	17	20
2	37	20
3	74	19
4	159	19
5	303	19
6	600	19
7	723	19
8	755	19
9	771	19
10	772	19
0	772	19

Iter	Nodes	Cost
0	24	97
1	39	97
2	58	97
3	73	92
4	90	92
5	126	92
6	168	92
7	223	92
8	282	92
9	311	92
10	322	92

Iter	Nodes	Cost
0	6	20
1	17	20
2	37	20
3	74	19
4	159	19
5	303	19
6	600	19
7	723	19
8	755	19
9	771	19
10	772	19
0	772	19

Iter	Nodes	Cost
0	24	97
1	39	97
2	58	97
3	73	92
4	90	92
5	126	92
6	168	92
7	223	92
8	282	92
9	311	92
10	322	92

analyze12.0ms (0.1%)

sample582.0ms (7.1%)

preprocess69.0ms (0.8%)

explain81.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.3%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

rewrite236.0ms (2.9%)

simplify547.0ms (6.7%)

eval86.0ms (1.1%)

prune106.0ms (1.3%)

simplify535.0ms (6.5%)

localize62.0ms (0.8%)

series16.0ms (0.2%)

rewrite332.0ms (4.1%)

simplify552.0ms (6.8%)

eval130.0ms (1.6%)

prune111.0ms (1.4%)

simplify303.0ms (3.7%)

localize105.0ms (1.3%)

series16.0ms (0.2%)

rewrite81.0ms (1%)

simplify414.0ms (5.1%)

eval326.0ms (4%)

prune66.0ms (0.8%)

simplify374.0ms (4.6%)

localize97.0ms (1.2%)

series17.0ms (0.2%)

rewrite611.0ms (7.5%)

simplify357.0ms (4.4%)

eval260.0ms (3.2%)

prune207.0ms (2.5%)

regimes21.0ms (0.3%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify15.0ms (0.2%)

soundness1.1s (13.4%)

preprocess255.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	20
1	17	20
2	37	20
3	74	19
4	159	19
5	303	19
6	600	19
7	723	19
8	755	19
9	771	19
10	772	19
0	772	19

Iter	Nodes	Cost
0	24	97
1	39	97
2	58	97
3	73	92
4	90	92
5	126	92
6	168	92
7	223	92
8	282	92
9	311	92
10	322	92