Metrics for subtraction fraction

analyze12.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB 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)

sample576.0ms (6.4%)

Memory

34.7MiB live, 750.2MiB allocated

Samples

369.0ms

8 256×

valid

Precisions

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

ival-add: 68.0ms (32.8% of total)

ival-div: 56.0ms (27% of total)

ival-sub: 39.0ms (18.8% of total)

ival-neg: 35.0ms (16.9% of total)

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

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

Bogosity

preprocess68.0ms (0.8%)

Memory

2.0MiB live, 78.1MiB 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))

explain62.0ms (0.7%)

Memory

-8.6MiB live, 117.2MiB 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

29.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 4.0ms (30.5% of total)

ival-sub: 3.0ms (22.9% of total)

ival-div: 3.0ms (22.9% of total)

ival-neg: 2.0ms (15.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify27.0ms (0.3%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 n f)
✓	cost-diff	(+.f64 f n)
✓	cost-diff	(/.f64 (+.f64 f n) (-.f64 n f))

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
212×	`times-frac`
204×	`div-sub`
176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	8	15
2	13	15
3	19	15
4	28	15
5	51	15
6	87	15
7	124	15
8	208	15
9	434	15
10	836	15
11	963	15
12	965	15
13	1003	15
14	1032	15
0	1032	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (0.6%)

Memory

-10.5MiB live, 27.8MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

47.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (43.8% of total)

ival-sub: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

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

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

series4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite399.0ms (4.4%)

Memory

-9.2MiB live, 525.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 776×	`-lowering-.f32`
4 776×	`-lowering-.f64`
3 394×	`accelerator-lowering-fma.f32`
3 394×	`accelerator-lowering-fma.f64`
2 976×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	37	13
2	310	13
3	4778	13
0	8980	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 400

Calls

Call 1

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

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

simplify480.0ms (5.4%)

Memory

-7.8MiB live, 628.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 976×	`accelerator-lowering-fma.f32`
11 976×	`accelerator-lowering-fma.f64`
3 278×	`-lowering-.f32`
3 278×	`-lowering-.f64`
1 780×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	458
1	432	439
2	1255	395
3	5341	377
0	8433	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)))))

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

eval88.0ms (1%)

Memory: 7.4MiB live, 121.3MiB allocated
Compiler: Compiled 12 260 to 1 156 computations (90.6% saved)

prune86.0ms (1%)

Memory

6.7MiB live, 126.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	462	10	472
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	462	11	473

Accuracy

100.0%

Counts

473 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	51.0%	(/.f64 (+.f64 f n) n)
	51.1%	(/.f64 n (-.f64 n f))
▶	49.8%	(/.f64 f (-.f64 n f))
	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	50.2%	(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))
	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	50.0%	#s(literal 1 binary64)
▶	48.7%	#s(literal -1 binary64)

Compiler

Compiled 169 to 113 computations (33.1% saved)

simplify72.0ms (0.8%)

Memory

-25.1MiB live, 56.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 f n))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f 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 #s(literal 1 binary64) (+.f64 f n))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))

Rules

800×	`accelerator-lowering-fma.f32`
800×	`accelerator-lowering-fma.f64`
512×	`-lowering-.f32`
512×	`-lowering-.f64`
394×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	28	68
2	56	66
3	115	66
4	205	66
5	327	66
6	536	66
7	849	66
8	1335	66
9	1588	66
10	1656	66
11	1685	66
12	1693	66
0	1693	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (0.7%)

Memory

33.2MiB live, 69.3MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

49.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 10.0ms (63.5% of total)

ival-sub: 2.0ms (12.7% of total)

ival-add: 2.0ms (12.7% of total)

ival-mult: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-18.5MiB live, 20.7MiB allocated

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
16.0ms	n	@	0	(/ 1 (- n f))
1.0ms	f	@	0	(+ 1 (* 2 (/ f n)))
0.0ms	f	@	-inf	(/ 1 (- n f))
0.0ms	n	@	0	(/ 1 (+ f n))
0.0ms	f	@	inf	(+ 1 (* 2 (/ f n)))

rewrite475.0ms (5.3%)

Memory

-6.9MiB live, 664.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 428×	`accelerator-lowering-fma.f32`
4 428×	`accelerator-lowering-fma.f64`
4 410×	`-lowering-.f32`
4 410×	`-lowering-.f64`
3 422×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	95	48
2	722	48
3	7552	48
0	8488	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 936

Calls

Call 1

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

Outputs
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 f (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (-.f64 n f))) (.f64 #s(literal -1 binary64) (log.f64 (+.f64 n f)))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.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 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (+.f64 n f) (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) (/.f64 n (-.f64 n f)))
(fma.f64 (+.f64 n f) (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) n) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) (/.f64 f (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) (/.f64 f (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) n) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) f) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 f (-.f64 f n)) #s(literal -1 binary64) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 f n)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 f (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f f) (.f64 n (+.f64 n f))))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f f) (.f64 n (+.f64 n f))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f) (/.f64 n (-.f64 n f)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (.f64 n n)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 f n) (-.f64 (*.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (.f64 n n)))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (.f64 n n)) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))))) (+.f64 (.f64 (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64))))) (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64)))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))) (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))))) (.f64 (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64))))) (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))) (.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) (/.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) #s(literal -2 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 f n) (/.f64 n f)) #s(literal -4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n))) (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n))) (-.f64 (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (*.f64 n n))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (/.f64 (/.f64 f n) (/.f64 n f)) (/.f64 (/.f64 f n) (/.f64 n f))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (*.f64 n n))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 f n) (/.f64 n f)) #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n)))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 f n) (/.f64 n f)) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 f f) #s(literal 4 binary64)) (.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 f n) (/.f64 n f)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 f n) (/.f64 n f)) #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 f n) (-.f64 (*.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 f n) (-.f64 (.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (-.f64 (*.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 f n) (/.f64 n f)) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 f (.f64 f f)) #s(literal 8 binary64)) (.f64 n (.f64 n n))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 f n) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (/.f64 f n) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 f #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (*.f64 f #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (*.f64 f #s(literal 2 binary64)))))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(/.f64 (*.f64 f #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -2 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) f)))
(/.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 1 binary64) f))
(/.f64 (neg.f64 (*.f64 f #s(literal -2 binary64))) n)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 f #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (.f64 (.f64 f #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (.f64 (.f64 f #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) #s(literal -1 binary64)) n)
(pow.f64 (/.f64 n (*.f64 f #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 f (/.f64 #s(literal 2 binary64) n)))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(.f64 f (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(.f64 (.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) f) (.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) n) (.f64 f #s(literal 2 binary64)))
(.f64 (.f64 f #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 f #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 n f)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) (/.f64 f n)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 n f))
(/.f64 f n)
(/.f64 #s(literal -1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) f)))
(/.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) f))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) f)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) f) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 f n))
(*.f64 f (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))
(*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) f)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) f))
(*.f64 (pow.f64 (/.f64 n f) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n f) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) f)) (/.f64 #s(literal -1 binary64) n))

simplify788.0ms (8.8%)

Memory

12.2MiB live, 796.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 038×	`accelerator-lowering-fma.f32`
12 038×	`accelerator-lowering-fma.f64`
3 766×	`-lowering-.f32`
3 766×	`-lowering-.f64`
2 978×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	1968
1	1143	1797
2	3070	1645
0	8432	1539

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 n f) f)) (/.f64 #s(literal -2 binary64) f))))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 n (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 n f) f)) f) (/.f64 #s(literal -2 binary64) (.f64 f f)))) (/.f64 #s(literal -2 binary64) f))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n))) n))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (.f64 f (.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (.f64 n n)))))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 f #s(literal 2 binary64)) (/.f64 (.f64 (.f64 f #s(literal 2 binary64)) (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n))) n))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (.f64 f (.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (.f64 n n)))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 n f) f)) (/.f64 #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 (/.f64 (/.f64 (.f64 n (/.f64 (.f64 n (.f64 #s(literal -2 binary64) n)) f)) f) f) (+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 n f) f)) (/.f64 #s(literal -2 binary64) f)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 n (+.f64 (.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 (.f64 n #s(literal 2 binary64)) (/.f64 (.f64 n (.f64 n (+.f64 (.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) f)) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (.f64 n (+.f64 (/.f64 (.f64 n n) (-.f64 #s(literal 0 binary64) (pow.f64 f #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) f) f)))) (/.f64 #s(literal -1 binary64) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) 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 (*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (/ 1 n) (/ f (pow n 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (/.f64 (/.f64 (/.f64 (*.f64 f f) n) n) n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (.f64 (.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n (.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) 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)
(/ 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 (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (.f64 f (.f64 f (-.f64 (/.f64 #s(literal 1 binary64) (.f64 n (.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/ 1 f)
(/.f64 #s(literal 1 binary64) f)
(/ (+ 1 (* -1 (/ n f))) f)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (.f64 n (.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f)) f)) f)
(/ 1 f)
(/.f64 #s(literal 1 binary64) f)
(* -1 (/ (- (/ n f) 1) f))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1) f))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1) f))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (.f64 n (.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f)) f)) f)
(/ 1 f)
(/.f64 #s(literal 1 binary64) f)
(+ (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (.f64 n (.f64 n (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) f) f) (/.f64 n (pow.f64 f #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (* -1 (/ f n))) n)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n))) n))) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (/ f n) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n))) n))) n)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))) n)
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(.f64 f (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (.f64 (.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))))
-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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(+.f64 #s(literal -1 binary64) (.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)
(/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))) n)
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)
(/.f64 (+.f64 f (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (.f64 n (.f64 n n))) (.f64 f (/.f64 (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)))) n)
(/ f n)
(/.f64 f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (+.f64 f (.f64 f (/.f64 (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) 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 (+.f64 (.f64 f f) (/.f64 (+.f64 (.f64 f (*.f64 f f)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) 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))
(/ 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 n f) n)
(/ (+ f n) n)
(/.f64 (+.f64 n f) n)
(/ (+ f n) n)
(/.f64 (+.f64 n 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))
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))
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (*.f64 f #s(literal 2 binary64))) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (*.f64 f #s(literal 2 binary64))) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (*.f64 f #s(literal 2 binary64))) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)

eval635.0ms (7.1%)

Memory: -7.8MiB live, 372.8MiB allocated
Compiler: Compiled 33 109 to 2 861 computations (91.4% saved)

prune164.0ms (1.8%)

Memory

7.3MiB live, 451.6MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 490	3	1 493
Fresh	2	3	5
Picked	0	5	5
Done	0	1	1
Total	1 492	12	1 504

Accuracy

100.0%

Counts

1 504 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.0%	(/.f64 (+.f64 f n) n)
▶	51.1%	(/.f64 n (-.f64 n f))
✓	49.8%	(/.f64 f (-.f64 n f))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
▶	49.7%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
▶	50.2%	(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))
	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
▶	50.0%	#s(literal 1 binary64)
✓	48.7%	#s(literal -1 binary64)

Compiler

Compiled 144 to 97 computations (32.6% saved)

simplify66.0ms (0.7%)

Memory

-20.4MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) f)
✓	cost-diff	0	(*.f64 n (/.f64 #s(literal -2 binary64) f))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) 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))
✓	cost-diff	0	(+.f64 n f)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 (-.f64 n f) (+.f64 n f))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))

Rules

784×	`accelerator-lowering-fma.f32`
784×	`accelerator-lowering-fma.f64`
496×	`-lowering-.f32`
496×	`-lowering-.f64`
346×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	31	66
2	55	64
3	93	64
4	170	64
5	349	64
6	651	64
7	977	64
8	1325	64
9	1465	64
10	1523	64
11	1544	64
12	1545	64
0	1545	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

37.6MiB live, 74.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) f)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))
✓	accuracy	99.7%	(*.f64 n (/.f64 #s(literal -2 binary64) 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))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 n f)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	accuracy	100.0%	(/.f64 (-.f64 n f) (+.f64 n f))

Samples

31.0ms

256×

valid

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (51% of total)

ival-sub: 3.0ms (19.1% of total)

ival-add: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-19.0MiB live, 18.7MiB allocated

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	f	@	0	(- -1 (/ n f))
2.0ms	f	@	-inf	(+ -1 (* n (/ -2 f)))
0.0ms	n	@	-inf	(/ n f)
0.0ms	n	@	inf	(/ (- n f) (+ n f))
0.0ms	n	@	-inf	(/ (- n f) (+ n f))

rewrite356.0ms (4%)

Memory

20.3MiB live, 568.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 650×	`accelerator-lowering-fma.f32`
5 650×	`accelerator-lowering-fma.f64`
4 748×	`-lowering-.f32`
4 748×	`-lowering-.f64`
3 866×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	100	48
2	801	48
0	8736	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 805

Calls

Call 1

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

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(+.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n)) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f))) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n)))
(+.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 n n) (.f64 f f))) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (*.f64 n f)))
(+.f64 (.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)) (.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)) (.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 n (-.f64 n f)))
(+.f64 (.f64 (.f64 n n) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(+.f64 (.f64 (.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 n n) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(+.f64 (.f64 (+.f64 (.f64 n n) (.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 n f) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (*.f64 f f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (.f64 n n) (-.f64 n f)) (-.f64 n f)) (/.f64 (.f64 f (/.f64 f (-.f64 n f))) (-.f64 n f)))
(-.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (*.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (.f64 n n) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (*.f64 f f))))))
(fma.f64 (.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (.f64 n n) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (*.f64 f f))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (+.f64 (.f64 n n) (.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (.f64 n f) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)))
(fma.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (+.f64 (.f64 n n) (*.f64 f (+.f64 n f))) n) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (+.f64 (.f64 n n) (.f64 f (+.f64 n f))) n) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (+.f64 (.f64 n n) (*.f64 f (+.f64 n f))) f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (*.f64 f (+.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (*.f64 (+.f64 n f) n) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (.f64 (+.f64 n f) n) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (*.f64 f (+.f64 n f))))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f)) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (*.f64 n n)))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 n n) (.f64 f f)) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n f)))
(fma.f64 (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 n n) (.f64 f (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 n n) (.f64 f (+.f64 n f))) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n n) (.f64 f (+.f64 n f))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n n) (.f64 f (+.f64 n f))))) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 n (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n n) (.f64 f (-.f64 f n)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n n) (.f64 f (-.f64 f n)))) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (-.f64 (.f64 n n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (-.f64 (.f64 n n) (.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))) #s(literal 1 binary64)) (+.f64 n f) (/.f64 f (-.f64 n f)))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) #s(literal 1 binary64)) (+.f64 n f) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (+.f64 (.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f) (/.f64 f (-.f64 n f)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (.f64 n n) (.f64 f f)))) (+.f64 n f) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (+.f64 (.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (+.f64 (.f64 n n) (.f64 f (+.f64 n f))) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (+.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n n) (*.f64 f (-.f64 f n)))) (/.f64 f (-.f64 n f)))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (+.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n n) (.f64 f (-.f64 f n)))) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (+.f64 (.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (+.f64 (.f64 n n) (.f64 f (+.f64 n f))) (.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(neg.f64 (/.f64 (+.f64 n f) (-.f64 f n)))
(neg.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 n n) (.f64 f (-.f64 f n))) (/.f64 (+.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 n f)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 n f)) (-.f64 f n))
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(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (.f64 #s(literal 2 binary64) (/.f64 n f)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 n (+.f64 (*.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (.f64 #s(literal 2 binary64) (/.f64 n f)))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) #s(literal -1 binary64)) (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f))) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (.f64 #s(literal 2 binary64) (/.f64 n f))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 n (+.f64 (*.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))) (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 n f))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))) (.f64 (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))) (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 n f))))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 n (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 n f))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f))) (/.f64 (.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64))) (.f64 f (.f64 f f))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 n (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f))) (-.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (*.f64 f f))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64))) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 n (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64)))))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (*.f64 f f)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64))) (.f64 f (.f64 f f)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 n (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n (.f64 n n)) #s(literal -8 binary64)) (.f64 f (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) (.f64 #s(literal 2 binary64) (/.f64 n f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 n (+.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 f #s(literal -2 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64)))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 n n) #s(literal 4 binary64)) (.f64 f f)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 n f)))
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 f (*.f64 n #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 f #s(literal -2 binary64)) n))
(/.f64 n (/.f64 f #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 f (*.f64 n #s(literal -2 binary64)))))
(/.f64 #s(literal -2 binary64) (/.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 f #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 f (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (*.f64 n #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) f))
(/.f64 (neg.f64 (*.f64 n #s(literal 2 binary64))) f)
(/.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 f #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 n #s(literal -2 binary64))) f)
(/.f64 (.f64 (.f64 n #s(literal -2 binary64)) #s(literal 1 binary64)) f)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) f))
(/.f64 (.f64 (.f64 n #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) f))
(pow.f64 (/.f64 f (*.f64 n #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 n f)))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(*.f64 (/.f64 #s(literal -2 binary64) f) n)
(.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 2 binary64) f))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) f) (.f64 n #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 n #s(literal -1/2 binary64)))
(.f64 (.f64 n #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) f))
(*.f64 (/.f64 #s(literal 2 binary64) f) (-.f64 #s(literal 0 binary64) n))
(.f64 (.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) f))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) f))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 n #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) f))
(.f64 (.f64 (*.f64 n #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 f #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) f))
(neg.f64 (/.f64 #s(literal 2 binary64) f))
(/.f64 #s(literal 1 binary64) (/.f64 f #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 f #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) f)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) f))
(pow.f64 (/.f64 f #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) f))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) f))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) f))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) f))
(*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 f #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f #s(literal -2 binary64)) #s(literal -1/2 binary64)))

simplify682.0ms (7.6%)

Memory

-24.2MiB live, 667.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 846×	`accelerator-lowering-fma.f32`
12 846×	`accelerator-lowering-fma.f64`
3 432×	`-lowering-.f32`
3 432×	`-lowering-.f64`
3 148×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1747
1	1013	1625
2	2980	1479
0	8164	1369

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -2 binary64))))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 n (.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 f f)))) (/.f64 #s(literal -2 binary64) f))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n))) n))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 (.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 f #s(literal 2 binary64)) (/.f64 (.f64 (.f64 f #s(literal 2 binary64)) (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n))) n))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 (.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -2 binary64))))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (/.f64 (.f64 n (.f64 n (.f64 #s(literal -2 binary64) n))) (.f64 f (.f64 f f))) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -2 binary64)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -2 binary64))))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) n) (.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f) (.f64 #s(literal -2 binary64) n)) f))
-1
#s(literal -1 binary64)
(- (* 2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64))))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 2 binary64) f) (.f64 n (+.f64 (/.f64 (.f64 n #s(literal 2 binary64)) (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (.f64 f f)))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal -2 binary64))))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 2 binary64) (.f64 n n)) (/.f64 (.f64 #s(literal -2 binary64) f) (.f64 n (.f64 n n))))) (/.f64 #s(literal -2 binary64) n))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal -2 binary64))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) f) (/.f64 (.f64 f (.f64 f (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) f) n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 f n) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal -2 binary64))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 2 binary64) (.f64 n n)) (/.f64 (.f64 #s(literal -2 binary64) f) (.f64 n (.f64 n n))))) (/.f64 #s(literal -2 binary64) n))))
-1
#s(literal -1 binary64)
(- (/ n f) (+ 1 (* -1 (/ n f))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(+.f64 (/.f64 (.f64 n (.f64 n (.f64 n #s(literal 2 binary64)))) (.f64 f (.f64 f f))) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64))))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 n (.f64 n (+.f64 (/.f64 (.f64 n #s(literal 2 binary64)) f) #s(literal -2 binary64)))) f) (.f64 n #s(literal 2 binary64))) f))
(* -1 f)
(-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (/ n f) 1))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (/ n f) 1))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (/ n f) 1))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* f (+ 1 (/ n f)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* f (+ 1 (/ n f)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
-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 #s(literal 0 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 (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
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(-.f64 #s(literal -1 binary64) (/.f64 n f))
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(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(-.f64 #s(literal 0 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 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)
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(/ n f)
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(/ n f)
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(/ n f)
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(/ n f)
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(/ n f)
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(/ n f)
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(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(.f64 n (+.f64 (.f64 n (.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(.f64 n (+.f64 (.f64 n (+.f64 (neg.f64 (.f64 n (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (.f64 f (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (.f64 f (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n))
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(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/.f64 (+.f64 n (/.f64 (.f64 n (.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f)) (-.f64 #s(literal 0 binary64) f))
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(* -1 (/ n f))
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(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 n (/.f64 (.f64 n (.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f)) (-.f64 #s(literal 0 binary64) 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 (pow.f64 n #s(literal 4 binary64)) (.f64 f f)) (.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))))) f)) (-.f64 #s(literal 0 binary64) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(/ (+ (* -2 n) (* -1 f)) f)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(/ (+ (* -2 n) (* -1 f)) f)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(/ (+ (* -2 n) (* -1 f)) f)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)

eval172.0ms (1.9%)

Memory: 20.0MiB live, 326.5MiB allocated
Compiler: Compiled 25 391 to 2 470 computations (90.3% saved)

prune244.0ms (2.7%)

Memory

22.5MiB live, 293.9MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1 157	0	1 157
Fresh	0	1	1
Picked	0	5	5
Done	0	6	6
Total	1 157	12	1 169

Accuracy

100.0%

Counts

1 169 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.0%	(/.f64 (+.f64 f n) n)
✓	51.1%	(/.f64 n (-.f64 n f))
✓	49.8%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	49.7%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	50.2%	(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
✓	50.0%	#s(literal 1 binary64)
✓	48.7%	#s(literal -1 binary64)

Compiler

Compiled 96 to 64 computations (33.3% saved)

simplify25.0ms (0.3%)

Memory

-1.9MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
112×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	21	21
2	43	21
3	66	21
4	88	21
5	141	21
6	255	21
7	402	21
8	515	21
9	569	21
10	581	21
0	581	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

14.9MiB live, 51.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-div: 2.0ms (28.2% of total)

ival-mult: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

ival-true: 1.0ms (14.1% of total)

ival-add: 1.0ms (14.1% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-29.7MiB live, 9.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite259.0ms (2.9%)

Memory

24.9MiB live, 550.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 080×	`-lowering-.f32`
3 080×	`-lowering-.f64`
2 416×	`accelerator-lowering-fma.f32`
2 416×	`accelerator-lowering-fma.f64`
2 286×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	46	18
2	373	18
3	5719	18
0	8357	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 592

Calls

Call 1

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

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

simplify671.0ms (7.5%)

Memory

6.7MiB live, 602.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 810×	`accelerator-lowering-fma.f32`
11 810×	`accelerator-lowering-fma.f64`
3 620×	`-lowering-.f32`
3 620×	`-lowering-.f64`
2 102×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	796
1	715	727
2	2029	646
3	6928	634
0	8145	593

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 (.f64 n (.f64 #s(literal -2 binary64) n)) (.f64 f (.f64 f f))) (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) f)))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (.f64 f #s(literal 2 binary64)) n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (.f64 f (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 f (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n))) n))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (.f64 f #s(literal 2 binary64)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 f #s(literal 2 binary64)) (/.f64 (.f64 (.f64 f #s(literal 2 binary64)) (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (.f64 f #s(literal 2 binary64)) n)))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (.f64 f (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 f (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n))) n))))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (.f64 n (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 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 (/.f64 (.f64 n (/.f64 (.f64 n (.f64 #s(literal -2 binary64) n)) f)) (.f64 f f)) (+.f64 #s(literal -1 binary64) (.f64 n (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) f)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 n #s(literal 2 binary64)) (/.f64 (.f64 n (.f64 n (+.f64 (.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) f)) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))) f)) f)
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (.f64 (.f64 n n) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) f) f) f) (/.f64 n (.f64 f (.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)) 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 f (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 f n))) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 f (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n))) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (.f64 f (.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (/ 1 n) (/ f (pow n 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 f (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n))) n)
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (.f64 (.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n (.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) 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 (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))) f)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 n (.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) (*.f64 f f)) (+.f64 (/.f64 n f) #s(literal 1 binary64))) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))) f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 n (.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) f)) n) f)) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)

eval172.0ms (1.9%)

Memory: -14.2MiB live, 176.2MiB allocated
Compiler: Compiled 18 959 to 1 745 computations (90.8% saved)

prune133.0ms (1.5%)

Memory

-23.5MiB live, 228.6MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	688	0	688
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	688	12	700

Accuracy

100.0%

Counts

700 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.0%	(/.f64 (+.f64 f n) n)
✓	51.1%	(/.f64 n (-.f64 n f))
✓	49.8%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	49.7%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	50.2%	(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
✓	50.0%	#s(literal 1 binary64)
✓	48.7%	#s(literal -1 binary64)

Compiler

Compiled 196 to 97 computations (50.5% saved)

regimes14.0ms (0.2%)

Memory

34.6MiB live, 34.6MiB allocated

Counts

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

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

Calls

3 calls:

5.0ms	n
5.0ms	f
4.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes16.0ms (0.2%)

Memory

-7.7MiB live, 32.3MiB allocated

Counts

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

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

Calls

3 calls:

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

regimes13.0ms (0.1%)

Memory

-9.2MiB live, 29.7MiB allocated

Counts

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

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

Calls

3 calls:

5.0ms	n
4.0ms	f
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

8 → 3

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

Outputs

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

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))

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

Calls

2 calls:

3.0ms	f
3.0ms	n

Results

Accuracy	Segments	Branch
80.1%	3	`f`
75.3%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-29.0MiB live, 8.7MiB allocated

Counts

7 → 3

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 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
80.0%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 3

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)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 3

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.4%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB 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

2 calls:

1.0ms	f
1.0ms	n

Results

Accuracy	Segments	Branch
48.7%	1	`n`
48.7%	1	`f`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.3%)

Memory

-21.1MiB live, 59.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.516517200793548e-22	1.221215846055305e-16
11.0ms	-1.0754011858855979e-96	-4.3900040180977656e-100

Samples

14.0ms

272×

valid

Compiler

Compiled 353 to 283 computations (19.8% saved)

Precisions

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

ival-div: 2.0ms (33.6% of total)

ival-add: 2.0ms (33.6% of total)

ival-sub: 1.0ms (16.8% of total)

ival-neg: 1.0ms (16.8% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-0.1MiB live, 38.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.516517200793548e-22	1.221215846055305e-16
9.0ms	-1.0754011858855979e-96	-4.3900040180977656e-100

Samples

11.0ms

272×

valid

Compiler

Compiled 319 to 232 computations (27.3% saved)

Precisions

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

ival-div: 2.0ms (33.7% of total)

ival-sub: 1.0ms (16.8% of total)

ival-add: 1.0ms (16.8% of total)

ival-neg: 1.0ms (16.8% of total)

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

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

bsearch22.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.516517200793548e-22	1.221215846055305e-16
9.0ms	-1.0754011858855979e-96	-4.3900040180977656e-100

Samples

11.0ms

272×

valid

Compiler

Compiled 285 to 198 computations (30.5% saved)

Precisions

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

ival-div: 2.0ms (33.8% of total)

ival-add: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-neg: 1.0ms (16.9% of total)

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

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

bsearch52.0ms (0.6%)

Memory

-0.0MiB live, 37.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.516517200793548e-22	1.221215846055305e-16
40.0ms	-1.0754011858855979e-96	-4.3900040180977656e-100

Samples

42.0ms

272×

valid

Compiler

Compiled 217 to 181 computations (16.6% saved)

Precisions

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

ival-div: 2.0ms (32.5% of total)

ival-add: 2.0ms (32.5% of total)

ival-sub: 1.0ms (16.3% of total)

ival-neg: 1.0ms (16.3% of total)

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

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

bsearch22.0ms (0.2%)

Memory

3.5MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.516517200793548e-22	1.221215846055305e-16
10.0ms	-1.0754011858855979e-96	-4.3900040180977656e-100

Samples

12.0ms

256×

valid

Compiler

Compiled 141 to 139 computations (1.4% saved)

Precisions

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

ival-div: 2.0ms (35.3% of total)

ival-sub: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

ival-neg: 1.0ms (17.7% of total)

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

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

simplify13.0ms (0.1%)

Memory

-17.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
10×	`if-if-or-not_binary32`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	117
1	76	117
2	85	117
3	91	117
4	95	117
5	96	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 #s(literal -2 binary64) f))) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 #s(literal -2 binary64) f))) (if (<=.f64 f #s(literal 5815372481559007/20769187434139310514121985316880384 binary64)) (/.f64 n (-.f64 n f)) (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 #s(literal -2 binary64) f)))))
(if (<=.f64 f #s(literal -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 3530761863803683/5192296858534827628530496329220096 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 1784852045121347/81129638414606681695789005144064 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 7301667457314601/162259276829213363391578010288128 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 #s(literal -2 binary64) f))) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -2 binary64) f)))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 #s(literal -2 binary64) f))) (if (<=.f64 f #s(literal 5815372481559007/20769187434139310514121985316880384 binary64)) (/.f64 n (-.f64 n f)) (+.f64 #s(literal -1 binary64) (.f64 n (/.f64 #s(literal -2 binary64) f)))))
(if (<=.f64 f #s(literal -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 3530761863803683/5192296858534827628530496329220096 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 1784852045121347/81129638414606681695789005144064 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 7301667457314601/162259276829213363391578010288128 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness1.7s (19.2%)

Memory

14.8MiB live, 2 339.5MiB allocated

Rules

12 038×	`accelerator-lowering-fma.f32`
12 038×	`accelerator-lowering-fma.f64`
11 976×	`accelerator-lowering-fma.f32`
11 976×	`accelerator-lowering-fma.f64`
4 776×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	37	13
2	310	13
3	4778	13
0	8980	13
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
0	365	1968
1	1143	1797
2	3070	1645
0	8432	1539
0	140	458
1	432	439
2	1255	395
3	5341	377
0	8433	347

Stop Event

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

Compiler

Compiled 370 to 193 computations (47.8% saved)

preprocess54.0ms (0.6%)

Memory: -4.7MiB live, 150.7MiB allocated
Compiler: Compiled 298 to 110 computations (63.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	23
1	21	21
2	43	21
3	66	21
4	88	21
5	141	21
6	255	21
7	402	21
8	515	21
9	569	21
10	581	21
0	581	21

Iter	Nodes	Cost
0	7	23
1	21	21
2	43	21
3	66	21
4	88	21
5	141	21
6	255	21
7	402	21
8	515	21
9	569	21
10	581	21
0	581	21

analyze12.0ms (0.1%)

sample576.0ms (6.4%)

preprocess68.0ms (0.8%)

explain62.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.3%)

localize53.0ms (0.6%)

series4.0ms (0%)

rewrite399.0ms (4.4%)

simplify480.0ms (5.4%)

eval88.0ms (1%)

prune86.0ms (1%)

simplify72.0ms (0.8%)

localize67.0ms (0.7%)

series28.0ms (0.3%)

rewrite475.0ms (5.3%)

simplify788.0ms (8.8%)

eval635.0ms (7.1%)

prune164.0ms (1.8%)

simplify66.0ms (0.7%)

localize48.0ms (0.5%)

series15.0ms (0.2%)

rewrite356.0ms (4%)

simplify682.0ms (7.6%)

eval172.0ms (1.9%)

prune244.0ms (2.7%)

simplify25.0ms (0.3%)

localize23.0ms (0.3%)

series11.0ms (0.1%)

rewrite259.0ms (2.9%)

simplify671.0ms (7.5%)

eval172.0ms (1.9%)

prune133.0ms (1.5%)

regimes14.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch26.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch22.0ms (0.2%)

bsearch52.0ms (0.6%)

bsearch22.0ms (0.2%)

simplify13.0ms (0.1%)

soundness1.7s (19.2%)

preprocess54.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	23
1	21	21
2	43	21
3	66	21
4	88	21
5	141	21
6	255	21
7	402	21
8	515	21
9	569	21
10	581	21
0	581	21