Metrics for subtraction fraction

analyze11.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample569.0ms (6.5%)

Memory

22.3MiB live, 712.9MiB allocated

Samples

366.0ms

8 256×

valid

Precisions

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

ival-div: 74.0ms (35.6% of total)

ival-sub: 45.0ms (21.7% of total)

ival-add: 45.0ms (21.7% of total)

ival-neg: 36.0ms (17.3% of total)

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

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

Bogosity

preprocess68.0ms (0.8%)

Memory

-7.7MiB live, 67.7MiB allocated

Algorithm

1×	egg-herbie

Rules

424×	`times-frac`
310×	`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	18	46
1	61	35
2	171	35
3	414	35
4	1172	35
5	1446	35
6	1503	35
7	1571	35
8	1628	35
0	6	8
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))

explain64.0ms (0.7%)

Memory

-10.6MiB live, 113.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-div: 4.0ms (34.1% of total)

ival-sub: 3.0ms (25.6% of total)

ival-add: 3.0ms (25.6% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify24.0ms (0.3%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize54.0ms (0.6%)

Memory

-8.2MiB live, 30.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

47.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sub: 35.0ms (84.9% of total)

ival-add: 3.0ms (7.3% of total)

ival-div: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite235.0ms (2.7%)

Memory

3.1MiB live, 349.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 572

Calls

Call 1

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

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

simplify534.0ms (6.1%)

Memory

-14.3MiB live, 593.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval95.0ms (1.1%)

Memory: -18.0MiB live, 190.4MiB allocated
Compiler: Compiled 15 986 to 1 649 computations (89.7% saved)

prune145.0ms (1.7%)

Memory

5.4MiB live, 167.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	656	12	668
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	657	12	669

Accuracy

100.0%

Counts

669 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 f n))) (-.f64 f n))
▶	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	47.9%	(/.f64 (neg.f64 (+.f64 f n)) f)
	52.8%	(/.f64 (neg.f64 n) (-.f64 f n))
▶	48.3%	(/.f64 (neg.f64 f) (-.f64 f n))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
	53.4%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	51.7%	#s(literal 1 binary64)
▶	47.0%	#s(literal -1 binary64)

Compiler

Compiled 210 to 136 computations (35.2% saved)

simplify40.0ms (0.5%)

Memory

0.8MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) (-.f64 n f))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(neg.f64 (+.f64 f n))
✓	cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) f)
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 f)
✓	cost-diff	128	(/.f64 (neg.f64 f) (-.f64 f n))
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 n)
✓	cost-diff	128	(/.f64 (neg.f64 n) (-.f64 f n))
✓	cost-diff	896	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
230×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	32	79
2	71	75
3	148	70
4	277	66
5	484	66
6	962	66
7	1016	66
8	1062	66
9	1093	66
10	1097	66
0	1097	66

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

19.7MiB live, 92.9MiB allocated

Localize:

Found 13 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))
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 (+.f64 f n))
✓	accuracy	100.0%	(/.f64 (neg.f64 (+.f64 f n)) f)
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 (neg.f64 f) (-.f64 f n))
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(/.f64 f (-.f64 f n))
✓	accuracy	100.0%	(/.f64 (neg.f64 n) (-.f64 f n))
✓	accuracy	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Samples

30.0ms

256×

valid

Compiler

Compiled 76 to 17 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (47.5% of total)

ival-sub: 4.0ms (23.8% of total)

ival-neg: 3.0ms (17.8% of total)

ival-add: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-2.4MiB live, 36.0MiB allocated

Counts

12 → 264

Calls

Call 1

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

Calls

66 calls:

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

rewrite458.0ms (5.2%)

Memory

-16.6MiB live, 828.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 612×	`/-lowering-/.f32`
5 612×	`/-lowering-/.f64`
4 928×	`-lowering-.f32`
4 928×	`-lowering-.f64`
4 836×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	105	52
2	1105	52
0	8493	52

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 686

Calls

Call 1

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

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

simplify562.0ms (6.4%)

Memory

17.2MiB live, 668.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 246×	`accelerator-lowering-fma.f32`
13 246×	`accelerator-lowering-fma.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
3 248×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	2253
1	1314	2042
2	3777	1878
0	8282	1740

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval1.4s (16%)

Memory: 15.7MiB live, 424.0MiB allocated
Compiler: Compiled 55 139 to 3 361 computations (93.9% saved)

prune190.0ms (2.2%)

Memory

-10.9MiB live, 437.3MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	2 160	9	2 169
Fresh	5	2	7
Picked	3	2	5
Done	0	0	0
Total	2 168	13	2 181

Accuracy

100.0%

Counts

2 181 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
	53.4%	(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
	88.2%	(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	52.4%	(/.f64 (+.f64 f n) n)
	52.8%	(/.f64 n (-.f64 n f))
▶	48.3%	(/.f64 f (-.f64 n f))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
▶	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
	47.9%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
▶	51.7%	#s(literal 1 binary64)
✓	47.0%	#s(literal -1 binary64)

Compiler

Compiled 200 to 126 computations (37% saved)

simplify59.0ms (0.7%)

Memory

-7.0MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) f)
✓	cost-diff	0	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 f (-.f64 n f))
✓	cost-diff	0	(/.f64 f (-.f64 f n))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n (-.f64 n f))
✓	cost-diff	896	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Rules

672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
448×	`-lowering-.f32`
448×	`-lowering-.f64`
362×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	29	64
2	43	64
3	67	64
4	111	64
5	296	62
6	693	60
7	1315	60
8	1624	60
9	1680	60
10	1700	60
11	1702	60
12	1706	60
0	1706	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize45.0ms (0.5%)

Memory

29.3MiB live, 106.6MiB allocated

Localize:

Found 10 expressions of interest:

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

Samples

29.0ms

256×

valid

Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 9.0ms (52.3% of total)

ival-sub: 4.0ms (23.2% of total)

ival-add: 2.0ms (11.6% of total)

ival-mult: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-15.6MiB live, 23.2MiB allocated

Counts

10 → 228

Calls

Call 1

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

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	n	@	-inf	(+ (* n (/ -2 f)) -1)
1.0ms	f	@	0	(/ f (- n f))
0.0ms	n	@	inf	(+ (* n (/ -2 f)) -1)
0.0ms	n	@	inf	(- (/ n (- n f)) (/ f (- f n)))
0.0ms	f	@	0	(+ (* n (/ -2 f)) -1)

rewrite300.0ms (3.4%)

Memory

17.4MiB live, 478.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 446×	`/-lowering-/.f32`
5 446×	`/-lowering-/.f64`
5 348×	`-lowering-.f32`
5 348×	`-lowering-.f64`
3 810×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	110	50
2	1049	50
0	8715	49

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 482

Calls

Call 1

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

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

simplify598.0ms (6.8%)

Memory

-2.3MiB live, 532.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 862×	`accelerator-lowering-fma.f32`
14 862×	`accelerator-lowering-fma.f64`
3 326×	`-lowering-.f32`
3 326×	`-lowering-.f64`
2 970×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1784
1	1126	1694
2	3123	1515
0	8192	1413

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

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

eval103.0ms (1.2%)

Memory: -9.7MiB live, 176.5MiB allocated
Compiler: Compiled 14 495 to 1 608 computations (88.9% saved)

prune87.0ms (1%)

Memory

14.7MiB live, 177.3MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	767	1	768
Fresh	0	6	6
Picked	1	4	5
Done	0	2	2
Total	768	13	781

Accuracy

100.0%

Counts

781 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.5%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶	53.4%	(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
	88.2%	(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	52.8%	(/.f64 n (-.f64 n f))
✓	48.3%	(/.f64 f (-.f64 n f))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
▶	47.9%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	52.4%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
✓	51.7%	#s(literal 1 binary64)
✓	47.0%	#s(literal -1 binary64)

Compiler

Compiled 169 to 108 computations (36.1% saved)

simplify85.0ms (1%)

Memory

11.6MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) n)
✓	cost-diff	0	(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
✓	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 f n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	cost-diff	0	(+.f64 n f)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 (-.f64 n f) (+.f64 n f))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))

Rules

880×	`accelerator-lowering-fma.f32`
880×	`accelerator-lowering-fma.f64`
560×	`-lowering-.f32`
560×	`-lowering-.f64`
404×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
1	34	71
2	58	69
3	96	69
4	173	69
5	350	69
6	647	69
7	987	69
8	1408	69
9	1533	69
10	1600	69
11	1657	69
12	1667	69
0	1667	68

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

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

localize152.0ms (1.7%)

Memory

-36.7MiB live, 72.3MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

66.0ms

256×

valid

Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 12.0ms (60.3% of total)

ival-sub: 3.0ms (15.1% of total)

ival-add: 3.0ms (15.1% of total)

ival-mult: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-18.7MiB live, 18.9MiB allocated

Counts

11 → 252

Calls

Call 1

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

Calls

63 calls:

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

rewrite361.0ms (4.1%)

Memory

41.8MiB live, 545.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 806×	`accelerator-lowering-fma.f32`
5 806×	`accelerator-lowering-fma.f64`
4 014×	`/-lowering-/.f32`
4 014×	`/-lowering-/.f64`
3 740×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	118	51
2	964	51
0	8678	50

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 585

Calls

Call 1

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

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

simplify642.0ms (7.3%)

Memory

0.8MiB live, 684.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 758×	`accelerator-lowering-fma.f32`
12 758×	`accelerator-lowering-fma.f64`
3 436×	`-lowering-.f32`
3 436×	`-lowering-.f64`
3 134×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	1846
1	1018	1661
2	2909	1531
0	8960	1426

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

eval190.0ms (2.2%)

Memory: -3.7MiB live, 231.1MiB allocated
Compiler: Compiled 16 234 to 1 798 computations (88.9% saved)

prune187.0ms (2.1%)

Memory

-8.8MiB live, 270.3MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	920	0	920
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	920	13	933

Accuracy

100.0%

Counts

933 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.5%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓	53.4%	(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
	88.2%	(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	52.8%	(/.f64 n (-.f64 n f))
✓	48.3%	(/.f64 f (-.f64 n f))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	47.9%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	52.4%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
✓	51.7%	#s(literal 1 binary64)
✓	47.0%	#s(literal -1 binary64)

Compiler

Compiled 267 to 115 computations (56.9% saved)

regimes38.0ms (0.4%)

Memory

2.4MiB live, 41.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	n
7.0ms	f
5.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes47.0ms (0.5%)

Memory

-12.2MiB live, 26.9MiB allocated

Counts

19 → 1

Calls

Call 1

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

Calls

3 calls:

6.0ms	f
6.0ms	n
4.0ms	(/.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)

regimes11.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.6%	3	`f`
76.2%	3	`n`
98.1%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

-34.2MiB live, 3.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.1%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.0%	1	`n`
47.0%	1	`f`
47.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999779642219204	0.9916194095815866

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999779642219204	0.9916194095815866

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999779642219204	0.9916194095815866

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999779642219204	0.9916194095815866

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch12.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-0.9999779642219204	0.9916194095815866

Samples

4.0ms

240×

valid

Compiler

Compiled 133 to 131 computations (1.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify28.0ms (0.3%)

Memory

-41.8MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Rules

122×	`unsub-neg_binary64`
102×	`distribute-lft-neg-in_binary64`
80×	`neg-mul-1_binary64`
54×	`neg-sub0_binary64`
52×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	114
1	48	114
2	72	114
3	89	109
4	107	109
5	143	109
6	199	109
7	272	109
8	351	109
9	398	109
10	427	109
11	433	109

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.2s (14.1%)

Memory

38.3MiB live, 873.1MiB allocated

Rules

14 862×	`accelerator-lowering-fma.f32`
14 862×	`accelerator-lowering-fma.f64`
14 778×	`accelerator-lowering-fma.f32`
14 778×	`accelerator-lowering-fma.f64`
13 246×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	1784
1	1126	1694
2	3123	1515
0	8192	1413
0	6	18
1	42	18
2	323	17
0	5527	17
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432
0	418	2253
1	1314	2042
2	3777	1878
0	8282	1740
0	14	56
1	105	52
2	1105	52
0	8493	52

Stop Event

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

Compiler

Compiled 275 to 130 computations (52.7% saved)

preprocess54.0ms (0.6%)

Memory: -24.1MiB live, 172.1MiB allocated
Compiler: Compiled 242 to 64 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	29	114
1	48	114
2	72	114
3	89	109
4	107	109
5	143	109
6	199	109
7	272	109
8	351	109
9	398	109
10	427	109
11	433	109

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

Iter	Nodes	Cost
0	29	114
1	48	114
2	72	114
3	89	109
4	107	109
5	143	109
6	199	109
7	272	109
8	351	109
9	398	109
10	427	109
11	433	109

analyze11.0ms (0.1%)

sample569.0ms (6.5%)

preprocess68.0ms (0.8%)

explain64.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize54.0ms (0.6%)

series5.0ms (0.1%)

rewrite235.0ms (2.7%)

simplify534.0ms (6.1%)

eval95.0ms (1.1%)

prune145.0ms (1.7%)

simplify40.0ms (0.5%)

localize50.0ms (0.6%)

series16.0ms (0.2%)

rewrite458.0ms (5.2%)

simplify562.0ms (6.4%)

eval1.4s (16%)

prune190.0ms (2.2%)

simplify59.0ms (0.7%)

localize45.0ms (0.5%)

series11.0ms (0.1%)

rewrite300.0ms (3.4%)

simplify598.0ms (6.8%)

eval103.0ms (1.2%)

prune87.0ms (1%)

simplify85.0ms (1%)

localize152.0ms (1.7%)

series11.0ms (0.1%)

rewrite361.0ms (4.1%)

simplify642.0ms (7.3%)

eval190.0ms (2.2%)

prune187.0ms (2.1%)

regimes38.0ms (0.4%)

regimes47.0ms (0.5%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

simplify28.0ms (0.3%)

soundness1.2s (14.1%)

preprocess54.0ms (0.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	29	114
1	48	114
2	72	114
3	89	109
4	107	109
5	143	109
6	199	109
7	272	109
8	351	109
9	398	109
10	427	109
11	433	109