Details

analyze74.0ms (0.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample723.0ms (7%)

Results

712.0ms

8256×

body

256

valid

Bogosity

preprocess143.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

926×	`associate-r`
770×	`associate-/r*`
748×	`fma-def`
744×	`associate-*r/`
644×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	28	46
2	58	46
3	115	46
4	248	46
5	565	38
6	1417	38
7	3422	38
8	4882	38
9	5389	38
10	5802	38
11	5844	38
12	5856	38
13	5856	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-def`
618×	`associate-/r*`
554×	`associate-r`
480×	`associate-l`
468×	`associate-/l*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	23
2	44	23
3	85	23
4	170	23
5	355	23
6	825	19
7	2425	19
8	3624	19
9	4556	19
10	4913	19
11	4961	19
12	4973	19
13	4973	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 25 to 11 computations (56% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	f	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	f	@	0	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	f	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`associate-*l/`
1196×	`associate-/r*`
886×	`associate-/l*`
876×	`*-commutative`
720×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	163	19
2	2497	19

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 n f)) f) (.f64 (/.f64 1 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 f f) (.f64 n n))) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 n n (.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 f) n) (/.f64 -1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (+.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 (+.f64 f n) (fma.f64 n n (.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (sqrt.f64 (+.f64 f n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (.f64 n n) (.f64 f f)))) (-.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (.f64 n n) (.f64 f f)))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (.f64 f f) (.f64 n n))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n n (.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f))))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n (-.f64 n f)) 3))) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (-.f64 (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f))) (.f64 (.f64 f f) (.f64 n (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (.f64 f f)))) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change 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simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

716×	`unswap-sqr`
528×	`+-commutative`
522×	`associate-/r/`
486×	`associate-/l/`
430×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3568
1	865	3308
2	3722	3076

Stop Event

1×	node limit

Counts

92 → 135

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) f) (.f64 (/.f64 1 (-.f64 n f)) n))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))))
(+.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 f f) (.f64 n n))) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(.f64 (fma.f64 n n (.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 -1 (-.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (pow.f64 (+.f64 f n) 2))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 (+.f64 f n) (fma.f64 n n (*.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(*.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (sqrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (sqrt.f64 (+.f64 f n)) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 f n)))
(.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))
(.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (cbrt.f64 (+.f64 f n)))
(.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 f n))
(.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 f n))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (.f64 f f) (.f64 n n))) (+.f64 f n))
(.f64 (/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f))))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n (-.f64 n f)) 3))) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (-.f64 (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f))) (.f64 (.f64 f f) (*.f64 n (-.f64 n f))))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 f n)))
(.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 f n)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (+.f64 2 (*.f64 (/.f64 2 n) f))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (.f64 (-.f64 (neg.f64 n) n) (.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (.f64 (-.f64 (neg.f64 n) n) (.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (.f64 (-.f64 (neg.f64 n) n) (.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (+.f64 2 (*.f64 (/.f64 2 n) f))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (+.f64 2 (*.f64 (/.f64 2 n) f))))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) f) (.f64 (/.f64 1 (-.f64 n f)) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 f f) (.f64 n n))) (.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (fma.f64 n n (.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 -1 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (pow.f64 (+.f64 f n) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 (+.f64 f n) (fma.f64 n n (*.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (sqrt.f64 (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (sqrt.f64 (+.f64 f n)) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))
(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) -1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) -1) (neg.f64 (/.f64 1 (-.f64 n f))))
(.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (neg.f64 (fma.f64 f (+.f64 f n) (.f64 n n))))
(.f64 (fma.f64 f (+.f64 f n) (.f64 n n)) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 (pow.f64 f 3) (pow.f64 n 3))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (cbrt.f64 (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 f n))
(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) -1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) -1) (neg.f64 (/.f64 1 (-.f64 n f))))
(.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 f n))))
(.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (neg.f64 (fma.f64 f (+.f64 f n) (.f64 n n))))
(.f64 (fma.f64 f (+.f64 f n) (.f64 n n)) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 (pow.f64 f 3) (pow.f64 n 3))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (.f64 f f) (.f64 n n))) (+.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(/.f64 (.f64 (.f64 (/.f64 1 (-.f64 n f)) (-.f64 (.f64 f f) (.f64 n n))) (fma.f64 n n (*.f64 f (+.f64 f n)))) (-.f64 (pow.f64 f 3) (pow.f64 n 3)))
(.f64 (fma.f64 f (+.f64 f n) (.f64 n n)) (/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (-.f64 f n)) (-.f64 (pow.f64 f 3) (pow.f64 n 3))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f))))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (.f64 f (pow.f64 f 3)) (.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (-.f64 (pow.f64 f 4) (.f64 (-.f64 n f) (.f64 (-.f64 n f) (.f64 n n))))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (fma.f64 f f (.f64 n (-.f64 n f)))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n (-.f64 n f)) 3))) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (-.f64 (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f))) (.f64 (.f64 f f) (*.f64 n (-.f64 n f))))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n (-.f64 n f)) 3))) (+.f64 (.f64 f (pow.f64 f 3)) (.f64 (.f64 n (-.f64 n f)) (-.f64 (.f64 n (-.f64 n f)) (*.f64 f f)))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (+.f64 (pow.f64 f 6) (pow.f64 (.f64 n (-.f64 n f)) 3))) (fma.f64 (.f64 n (-.f64 n f)) (fma.f64 n (-.f64 n f) (neg.f64 (.f64 f f))) (pow.f64 f 4)))
(/.f64 (.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 (.f64 n (-.f64 n f)) (fma.f64 n (-.f64 n f) (.f64 f (neg.f64 f))) (pow.f64 f 4))) (.f64 (+.f64 (pow.f64 f 6) (pow.f64 (*.f64 n (-.f64 n f)) 3)) (-.f64 n f)))
(.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 f (+.f64 f n) (.f64 n n))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (hypot.f64 (pow.f64 (neg.f64 f) 3/2) (pow.f64 n 3/2))) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (fma.f64 f (+.f64 f n) (.f64 n n))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 f n)))
(/.f64 (.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (+.f64 f n))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(/.f64 (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (fma.f64 n n (*.f64 f (neg.f64 f)))) (sqrt.f64 (+.f64 f n))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 f (+.f64 f n) (.f64 n n))))
(.f64 (/.f64 (+.f64 f n) (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))) (cbrt.f64 (fma.f64 f (+.f64 f n) (*.f64 n n))))
(.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 f n)))
(/.f64 (.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (+.f64 f n))) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))))
(.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (fma.f64 n n (.f64 f (neg.f64 f))))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(fabs.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

eval73.0ms (0.7%)

Compiler: Compiled 2596 to 954 computations (63.3% saved)

prune22.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	8	136

Error

0.0b

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	30.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	0.2b	(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
▶	33.8b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
▶	37.9b	(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	33.7b	1
	30.5b	-1

Compiler

Compiled 165 to 99 computations (40% saved)

localize42.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite147.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`associate-*l/`
1206×	`associate-/r*`
1014×	`*-commutative`
888×	`associate-/l*`
770×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	216	42
2	2919	42

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-/l*`
808×	`associate-r`
790×	`*-commutative`
752×	`associate-l`
680×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	13506
1	2268	13080

Stop Event

1×	node limit

Counts

258 → 440

Calls

Call 1

Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1)) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)))) (exp.f64 1)) (pow.f64 n 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)
(+.f64 1 (+.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1))
(+.f64 1 (-.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(+.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1)
(+.f64 -1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(-.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(-.f64 (+.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 2)
(*.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(/.f64 (neg.f64 (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (.f64 (-.f64 (.f64 n n) (*.f64 f f)) (/.f64 1 (-.f64 n f))) (-.f64 n f))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 f n) (-.f64 f n))) (/.f64 1 (-.f64 n f))) (neg.f64 (-.f64 f n)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 1 (-.f64 n f))) (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 (.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (-.f64 (neg.f64 f) n)) 1) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 f) n)) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (-.f64 f n)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (-.f64 f n)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 f) n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 f n) (-.f64 f n))) (/.f64 1 (-.f64 f n))) (-.f64 f n))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 1 (-.f64 f n))) (fma.f64 f f (.f64 n (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 f n) (/.f64 (-.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 f n) (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 f n)))) (-.f64 f n))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1)) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 n f)) (-.f64 f n))
(/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) 1) (-.f64 f n))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 n f))) (neg.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (neg.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) -1) (-.f64 n f))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) 1) (fma.f64 f f (.f64 n (-.f64 n f))))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 f f (.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (.f64 (cbrt.f64 (fma.f64 f f (.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Outputs
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1)) 1)
(+.f64 (*.f64 2 (/.f64 f (/.f64 n (E.f64)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 2 (/.f64 n f)) (E.f64)))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 f f) (/.f64 (.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64))) -1)
(+.f64 (fma.f64 4 (.f64 (/.f64 f (/.f64 (.f64 n n) f)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))) -1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 f f) (/.f64 (.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (fma.f64 22/3 (/.f64 (pow.f64 f 3) (/.f64 (pow.f64 n 3) (E.f64))) (E.f64)))) -1)
(+.f64 (fma.f64 4 (.f64 (/.f64 f (/.f64 (.f64 n n) f)) (E.f64)) (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (fma.f64 22/3 (.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (E.f64)) (E.f64)))) -1)
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1))))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (+.f64 (expm1.f64 -1) (.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)))) (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (*.f64 n -2) 2)))))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 (-.f64 (neg.f64 n) n) (.f64 n n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1))
(+.f64 (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2)))) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (pow.f64 n 3) -2))) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (+.f64 (expm1.f64 -1) (.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (neg.f64 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1)))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (neg.f64 (.f64 (/.f64 (.f64 2 n) f) (exp.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (*.f64 f f) (exp.f64 -1))))) -1)
(+.f64 (neg.f64 (.f64 (/.f64 (.f64 2 n) f) (exp.f64 -1))) (+.f64 (.f64 (/.f64 (fma.f64 -1 (.f64 n (.f64 2 n)) (.f64 1/2 (pow.f64 (.f64 2 n) 2))) (.f64 f f)) (exp.f64 -1)) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (.f64 f f) (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (.f64 n n) (-.f64 n (neg.f64 n)) (.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 -1 (+.f64 (+.f64 (fma.f64 -1 (.f64 (/.f64 (.f64 2 n) f) (exp.f64 -1)) (exp.f64 -1)) (.f64 (/.f64 (fma.f64 -1 (.f64 n (.f64 2 n)) (.f64 1/2 (pow.f64 (.f64 2 n) 2))) (.f64 f f)) (exp.f64 -1))) (neg.f64 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 3) (fma.f64 -1 (.f64 n (pow.f64 (.f64 2 n) 2)) (fma.f64 (.f64 n n) (.f64 2 n) (.f64 1/6 (pow.f64 (.f64 2 n) 3)))))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (exp.f64 -1)) (.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))) -1)
(+.f64 (.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1))) (+.f64 (/.f64 (*.f64 (pow.f64 n 3) 2/3) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (fma.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 -1 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (exp.f64 -1)) (+.f64 (exp.f64 -1) (/.f64 (*.f64 (pow.f64 n 3) 2/3) (/.f64 (pow.f64 f 3) (exp.f64 -1)))))))
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) 1)
(+.f64 (*.f64 2 (/.f64 f (/.f64 n (E.f64)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 2 (/.f64 n f)) (E.f64)))
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(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (.f64 (.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (+.f64 f n) (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (cbrt.f64 (-.f64 n f)))))
(/.f64 (+.f64 f n) (.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (+.f64 f n) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f)))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (/.f64 n f))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(*.f64 -2 (/.f64 n f))
1.0ms	n	@	inf	(*.f64 -2 (/.f64 n f))
0.0ms	n	@	0	(*.f64 -2 (/.f64 n f))
0.0ms	f	@	inf	(*.f64 -2 (/.f64 n f))
0.0ms	n	@	-inf	(*.f64 -2 (/.f64 n f))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1849	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 n f))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 f (*.f64 -2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 n) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) (cbrt.f64 (*.f64 f f))) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))))))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-r`
970×	`distribute-rgt-neg-out`
964×	`distribute-lft-neg-out`
922×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	144	417
2	545	297
3	3962	297

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 -2 n)))
(/.f64 (*.f64 -2 n) f)
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 -2 n) 1) f)
(/.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))
(/.f64 (/.f64 (.f64 -2 n) (cbrt.f64 (.f64 f f))) (cbrt.f64 f))
(/.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))

Outputs
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 -2 (/.f64 f n))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 1 (/.f64 f (*.f64 -2 n)))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 -2 n) f)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 (*.f64 -2 n) 1) f)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 (.f64 -2 n) (cbrt.f64 (.f64 f f))) (cbrt.f64 f))
(/.f64 (.f64 -2 n) (.f64 (cbrt.f64 f) (cbrt.f64 (*.f64 f f))))
(.f64 (/.f64 -2 (cbrt.f64 f)) (/.f64 n (cbrt.f64 (.f64 f f))))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 f f))) (/.f64 n (cbrt.f64 f)))
(/.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(fabs.f64 (*.f64 -2 (/.f64 n f)))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 n f))) 1))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
(+.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) -1)
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2))
✓	0.2b	(*.f64 (/.f64 2 n) f)

Compiler

Compiled 48 to 29 computations (39.6% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(*.f64 (/.f64 2 n) f)
0.0ms	n	@	-inf	(.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2))
0.0ms	f	@	inf	(*.f64 (/.f64 2 n) f)
0.0ms	f	@	0	(*.f64 (/.f64 2 n) f)
0.0ms	f	@	-inf	(.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2))

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r*`
1026×	`associate-/l*`
614×	`distribute-rgt-in`
586×	`distribute-lft-in`
278×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	233	40
2	3308	40

Stop Event

1×	node limit

Counts

2 → 242

Calls

Call 1

Inputs
(*.f64 (/.f64 2 n) f)
(.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 n) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 f (*.f64 n 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 f n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (*.f64 2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 f) (/.f64 (*.f64 n 1/2) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 f) (/.f64 (*.f64 n 1/2) (pow.f64 (cbrt.f64 f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 f) 2) (/.f64 (*.f64 n 1/2) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 f) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (neg.f64 n) f))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (/.f64 f n)) (/.f64 f n) (*.f64 2 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 f n) (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 f n)))))))

simplify179.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l/`
958×	`associate-/l*`
660×	`associate-/r/`
624×	`associate-/r*`
532×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	11904
1	1626	10822
2	6780	10784

Stop Event

1×	node limit

Counts

290 → 344

Calls

Call 1

Inputs
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 (/.f64 2 n) (/.f64 1 f))
(/.f64 f (*.f64 n 1/2))
(/.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (/.f64 f n) 1/2)
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 (sqrt.f64 f) (/.f64 (*.f64 n 1/2) (sqrt.f64 f)))
(/.f64 (cbrt.f64 f) (/.f64 (*.f64 n 1/2) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (pow.f64 (cbrt.f64 f) 2) (/.f64 (*.f64 n 1/2) (cbrt.f64 f)))
(/.f64 (*.f64 2 f) n)
(/.f64 -2 (/.f64 (neg.f64 n) f))
(/.f64 (neg.f64 f) (/.f64 (neg.f64 n) 2))
(/.f64 (sqrt.f64 (.f64 2 f)) (/.f64 n (sqrt.f64 (.f64 2 f))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 f)) (cbrt.f64 (.f64 2 f))) (/.f64 n (cbrt.f64 (.f64 2 f))))
(/.f64 (*.f64 2 (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 n (cbrt.f64 f)))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 f -2) (neg.f64 n))
(/.f64 (/.f64 f 1) (*.f64 n 1/2))
(/.f64 (/.f64 f 1/2) n)
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (sqrt.f64 n))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (cbrt.f64 n))
(/.f64 (*.f64 -2 f) (neg.f64 n))
(/.f64 (/.f64 (*.f64 2 f) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 2 (sqrt.f64 (/.f64 n f))) (sqrt.f64 (/.f64 n f)))
(/.f64 (/.f64 2 (*.f64 (cbrt.f64 (/.f64 n f)) (cbrt.f64 (/.f64 n f)))) (cbrt.f64 (/.f64 n f)))
(/.f64 (/.f64 2 (/.f64 1 (sqrt.f64 f))) (/.f64 n (sqrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 f) 2))) (/.f64 n (cbrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) 1)) (/.f64 (sqrt.f64 n) f))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) (sqrt.f64 f))) (/.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 f) 2))) (/.f64 (sqrt.f64 n) (cbrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1)) (/.f64 (cbrt.f64 n) f))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 f))) (/.f64 (cbrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 f) 2))) (/.f64 (cbrt.f64 n) (cbrt.f64 f)))
(/.f64 (/.f64 f (sqrt.f64 (.f64 n 1/2))) (sqrt.f64 (.f64 n 1/2)))
(/.f64 (/.f64 f (.f64 (cbrt.f64 (.f64 n 1/2)) (cbrt.f64 (.f64 n 1/2)))) (cbrt.f64 (.f64 n 1/2)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 2 (neg.f64 f)) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) -1) n)
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 f -2) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 f -2) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 f -2) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 f -2) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 f -2) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 f -2) -1) n)
(/.f64 (/.f64 (*.f64 f -2) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 f -2) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 f 1/2) 1) n)
(/.f64 (/.f64 (/.f64 f 1/2) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) 1) (sqrt.f64 n))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
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(/.f64 (/.f64 (.f64 (/.f64 f n) (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3))) (.f64 (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))) (cbrt.f64 (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) -1) n)
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 2 n) f 2) (neg.f64 f)) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (/.f64 f n)) 1) (fma.f64 (/.f64 2 n) f -2))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (/.f64 f n)) (sqrt.f64 (fma.f64 (/.f64 2 n) f -2))) (sqrt.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (/.f64 f n)) (*.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)) (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 f n)) 1) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 f n)) (sqrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))) (sqrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 f n)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))) (cbrt.f64 (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) 1) (sqrt.f64 n))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) 1) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (.f64 (neg.f64 f) (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4)) (neg.f64 n)) (fma.f64 (/.f64 2 n) f -2))
(/.f64 (/.f64 (.f64 (neg.f64 f) (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3))) (neg.f64 n)) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) f) (fma.f64 (/.f64 2 n) f -2)) n)
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) 1) (fma.f64 (/.f64 2 n) f -2)) (/.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (neg.f64 f)) (fma.f64 (/.f64 2 n) f -2)) (neg.f64 n))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) f) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) n)
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) 1) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (/.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (neg.f64 f)) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (neg.f64 n))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) -1) n)
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 f n)) (fma.f64 (/.f64 2 n) f 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3) (pow.f64 (/.f64 f n) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(fma.f64 (.f64 2 (/.f64 f n)) (/.f64 f n) (.f64 2 (/.f64 f n)))
(fma.f64 (/.f64 f n) (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 f n)))

Outputs
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))
(.f64 2 (.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))
(.f64 2 (.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))
(.f64 2 (.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(*.f64 2 (/.f64 f n))
(/.f64 2 (/.f64 n f))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 2 n) (/.f64 1 f))
(*.f64 2 (/.f64 f n))
(/.f64 f (*.f64 n 1/2))
(*.f64 2 (/.f64 f n))
(/.f64 (*.f64 2 (/.f64 f n)) 1)
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 f n) 1/2)
(*.f64 2 (/.f64 f n))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 1 (/.f64 (/.f64 n 2) f))
(.f64 (.f64 2 f) (/.f64 1 n))
(/.f64 (sqrt.f64 f) (/.f64 (*.f64 n 1/2) (sqrt.f64 f)))
(/.f64 (.f64 (sqrt.f64 f) (sqrt.f64 f)) (.f64 n 1/2))
(/.f64 (cbrt.f64 f) (/.f64 (*.f64 n 1/2) (pow.f64 (cbrt.f64 f) 2)))
(.f64 (/.f64 (cbrt.f64 f) (.f64 n 1/2)) (pow.f64 (cbrt.f64 f) 2))
(.f64 (cbrt.f64 f) (/.f64 (pow.f64 (cbrt.f64 f) 2) (.f64 n 1/2)))
(/.f64 (pow.f64 (cbrt.f64 f) 2) (/.f64 (*.f64 n 1/2) (cbrt.f64 f)))
(.f64 (/.f64 (cbrt.f64 f) (.f64 n 1/2)) (pow.f64 (cbrt.f64 f) 2))
(.f64 (cbrt.f64 f) (/.f64 (pow.f64 (cbrt.f64 f) 2) (.f64 n 1/2)))
(/.f64 (*.f64 2 f) n)
(*.f64 2 (/.f64 f n))
(/.f64 -2 (/.f64 (neg.f64 n) f))
(*.f64 2 (/.f64 f n))
(/.f64 (neg.f64 f) (/.f64 (neg.f64 n) 2))
(*.f64 2 (/.f64 f n))
(/.f64 (sqrt.f64 (.f64 2 f)) (/.f64 n (sqrt.f64 (.f64 2 f))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 f)) n) (sqrt.f64 (*.f64 2 f)))
(.f64 (sqrt.f64 (.f64 2 f)) (/.f64 (sqrt.f64 (*.f64 2 f)) n))
(/.f64 (.f64 (cbrt.f64 (.f64 2 f)) (cbrt.f64 (.f64 2 f))) (/.f64 n (cbrt.f64 (.f64 2 f))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 2 f)) (cbrt.f64 (.f64 2 f))) n) (cbrt.f64 (*.f64 2 f)))
(.f64 (cbrt.f64 (.f64 2 f)) (/.f64 (cbrt.f64 (.f64 2 f)) (/.f64 n (cbrt.f64 (.f64 2 f)))))
(/.f64 (*.f64 2 (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)))
(.f64 (/.f64 (.f64 2 (sqrt.f64 f)) n) (sqrt.f64 f))
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (/.f64 n 2)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 n (cbrt.f64 f)))
(/.f64 2 (/.f64 (/.f64 n (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (cbrt.f64 f) (/.f64 2 (/.f64 n (pow.f64 (cbrt.f64 f) 2))))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(*.f64 2 (/.f64 f n))
(/.f64 (*.f64 f -2) (neg.f64 n))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 f 1) (*.f64 n 1/2))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 f 1/2) n)
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (sqrt.f64 n))
(/.f64 2 (*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) f)))
(/.f64 (*.f64 2 (/.f64 f (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (cbrt.f64 n))
(*.f64 2 (/.f64 f n))
(/.f64 (*.f64 -2 f) (neg.f64 n))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 (*.f64 2 f) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 2 (sqrt.f64 (/.f64 n f))) (sqrt.f64 (/.f64 n f)))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 2 (*.f64 (cbrt.f64 (/.f64 n f)) (cbrt.f64 (/.f64 n f)))) (cbrt.f64 (/.f64 n f)))
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 2 (/.f64 1 (sqrt.f64 f))) (/.f64 n (sqrt.f64 f)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3)))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3) (pow.f64 (/.f64 f n) 3)))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(exp.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 1))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(fma.f64 (.f64 2 (/.f64 f n)) (/.f64 f n) (.f64 2 (/.f64 f n)))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(fma.f64 (/.f64 f n) (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 f n)))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.0b	(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) n)
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) f)

Compiler

Compiled 42 to 19 computations (54.8% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	f	@	inf	(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	f	@	-inf	(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	n	@	-inf	(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	n	@	0	(*.f64 (/.f64 1 (-.f64 n f)) f)
0.0ms	n	@	inf	(*.f64 (/.f64 1 (-.f64 n f)) f)

rewrite148.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`associate-/r*`
922×	`associate-/r/`
904×	`associate-/l*`
888×	`distribute-rgt-in`
856×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	224	58
2	3217	58

Stop Event

1×	node limit

Counts

4 → 347

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 n f)) f)
(*.f64 (/.f64 1 (-.f64 n f)) n)
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
(/.f64 1 (-.f64 n f))

Outputs
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simplify161.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-/l/`
1116×	`associate-/l*`
1034×	`associate-r`
882×	`associate-l`
862×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	962	20269
1	2918	19381

Stop Event

1×	node limit

Counts

443 → 640

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f)))) (cbrt.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))))) (/.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (cbrt.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))))))
(/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2)))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (-.f64 n f) (+.f64 (.f64 n n) (-.f64 (.f64 f f) (.f64 n f)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (*.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 3) (pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2)))) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 3) (pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) 3)) (.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))))
(/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (pow.f64 (-.f64 n f) 2))
(/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (pow.f64 (-.f64 n f) 2))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f)))) (neg.f64 (/.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2))))))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 1 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (/.f64 (+.f64 n f) (+.f64 (sqrt.f64 f) (sqrt.f64 n))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))) 1) (/.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (-.f64 n f))) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (-.f64 n f)))) (sqrt.f64 (/.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))) (.f64 (cbrt.f64 (/.f64 (-.f64 n f) (-.f64 n f))) (cbrt.f64 (/.f64 (-.f64 n f) (-.f64 n f))))) (cbrt.f64 (/.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))) (+.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))) (-.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) 1) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2)))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (.f64 n f) (pow.f64 (-.f64 n f) 2))))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) 1) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (neg.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (neg.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) -1) (-.f64 n f))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (sqrt.f64 (neg.f64 (-.f64 n f)))) (sqrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (/.f64 (.f64 -1 (+.f64 n f)) (.f64 (cbrt.f64 (neg.f64 (-.f64 n f))) (cbrt.f64 (neg.f64 (-.f64 n f))))) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) 1) (pow.f64 (-.f64 n f) 2))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (-.f64 n f)) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (*.f64 (-.f64 n f) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (*.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) 1) (pow.f64 (-.f64 n f) 2))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (-.f64 n f)) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (*.f64 (-.f64 n f) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (*.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) n) (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) f))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) f) (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) n))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 n f))) (.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 f f) (.f64 n n))) (.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(+.f64 (.f64 n (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))) (.f64 f (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))))
(+.f64 (.f64 f (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))) (.f64 n (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))))
(+.f64 (.f64 (.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (.f64 (.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (.f64 (+.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (*.f64 n f) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(*.f64 1 (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 -1 (/.f64 -1 (-.f64 n f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(*.f64 (/.f64 -1 (-.f64 n f)) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f f) (.f64 f f)))) (+.f64 (.f64 f f) (*.f64 n n)))
(.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f f) 3))) (+.f64 (.f64 (.f64 n n) (.f64 n n)) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n n) (.f64 f f)))))
(.f64 (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (.f64 (pow.f64 n 3) (pow.f64 n 3)) (.f64 (pow.f64 f 3) (pow.f64 f 3)))) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(.f64 (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (+.f64 (.f64 n n) (-.f64 (.f64 (neg.f64 f) (neg.f64 f)) (.f64 n (neg.f64 f)))))
(.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(pow.f64 (-.f64 n f) -1)
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))

Outputs
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
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(+.f64 (.f64 (.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(+.f64 (.f64 (+.f64 (.f64 f f) (.f64 n n)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (*.f64 n f) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(/.f64 1 (-.f64 n f))
(*.f64 1 (/.f64 1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(/.f64 1 (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 -1 (/.f64 -1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (+.f64 n f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 -1 (-.f64 n f)) -1)
(/.f64 1 (-.f64 n f))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(pow.f64 (sqrt.f64 (-.f64 n f)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 1) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f f) (.f64 f f)))) (+.f64 (.f64 f f) (*.f64 n n)))
(.f64 (fma.f64 f f (.f64 n n)) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 4) (pow.f64 f 4))))
(/.f64 (+.f64 n f) (/.f64 (-.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 f f (*.f64 n n))))
(.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f f) 3))) (+.f64 (.f64 (.f64 n n) (.f64 n n)) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n n) (.f64 f f)))))
(.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (+.f64 (pow.f64 n 4) (.f64 (.f64 f f) (fma.f64 f f (.f64 n n)))))
(.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (+.f64 (pow.f64 n 4) (.f64 f (.f64 f (fma.f64 f f (.f64 n n))))))
(.f64 (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (.f64 (pow.f64 n 3) (pow.f64 n 3)) (.f64 (pow.f64 f 3) (pow.f64 f 3)))) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 6) (pow.f64 f 6))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 (-.f64 (pow.f64 n 6) (pow.f64 f 6)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(.f64 (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (pow.f64 n 6) (*.f64 (pow.f64 f 3) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(.f64 (+.f64 n f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (+.f64 n f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (+.f64 (.f64 n n) (-.f64 (.f64 (neg.f64 f) (neg.f64 f)) (.f64 n (neg.f64 f)))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))))
(/.f64 (.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f))
(.f64 (+.f64 n f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(.f64 (cbrt.f64 (+.f64 n f)) (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (/.f64 (.f64 1 (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(pow.f64 (-.f64 n f) -1)
(/.f64 1 (-.f64 n f))
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(/.f64 1 (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) 3)
(/.f64 1 (-.f64 n f))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(/.f64 1 (-.f64 n f))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(/.f64 1 (-.f64 n f))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))
(/.f64 1 (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(/.f64 1 (-.f64 n f))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
✓	0.1b	(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))
✓	0.2b	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
✓	8.9b	(/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))

Compiler

Compiled 71 to 9 computations (87.3% saved)

series17.0ms (0.2%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	f	@	inf	(/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
1.0ms	f	@	inf	(/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
1.0ms	f	@	0	(/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
1.0ms	n	@	inf	(/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
1.0ms	n	@	-inf	(/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`distribute-rgt-in`
1122×	`distribute-lft-in`
294×	`add-sqr-sqrt`
290×	`pow1`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	192
1	276	88
2	4505	88

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))
(/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) f) (.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) n) (.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 f n))) (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 f f) (.f64 n n))) (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 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(.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))))))

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-+r+`
1120×	`+-commutative`
620×	`*-commutative`
620×	`associate-r`
594×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	11852
1	1564	9578
2	6606	9562

Stop Event

1×	node limit

Counts

268 → 295

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 n))
(+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n)))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 n)))))
(*.f64 -1 (sqrt.f64 (/.f64 1 f)))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))) (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))) (pow.f64 n 2)) (+.f64 (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))) (.f64 (pow.f64 n 3) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))))))))))
(sqrt.f64 (/.f64 1 n))
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 f n)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (+.f64 f n))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (/.f64 1 (neg.f64 (-.f64 n f))))
(.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (/.f64 (+.f64 f n) 1) (/.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (+.f64 f n)) (/.f64 (+.f64 f n) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (/.f64 (+.f64 f n) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (/.f64 (+.f64 f n) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (+.f64 f n) 1/4) 1) (/.f64 (pow.f64 (+.f64 f n) 1/4) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (+.f64 f n) 1/4) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (pow.f64 (+.f64 f n) 1/4) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (+.f64 f n)) (/.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) -1)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (-.f64 n f))))
(neg.f64 (/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))))
(sqrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) (pow.f64 (-.f64 n f) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) 3/2)))
(/.f64 (pow.f64 (+.f64 f n) 3/2) (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (neg.f64 f) n)) (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (-.f64 n f))))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (+.f64 f n))) (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (-.f64 n f))))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) 1) (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) (sqrt.f64 (+.f64 f n))) (-.f64 n f))
(/.f64 (neg.f64 (pow.f64 (+.f64 f n) 3/2)) (*.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (-.f64 n f))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 f n) 3/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3) (pow.f64 (+.f64 f n) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 (neg.f64 f) 1 f)))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f)))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (.f64 (fma.f64 (neg.f64 f) 1 f) (sqrt.f64 (+.f64 f n))))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f) (sqrt.f64 (+.f64 f n))))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f) (sqrt.f64 (+.f64 f n))))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) n) (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 f)))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) n) (.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (neg.f64 f) 1)))
(+.f64 (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 f)) (.f64 (sqrt.f64 (+.f64 f n)) n))
(+.f64 (.f64 n (sqrt.f64 (+.f64 f n))) (.f64 (neg.f64 f) (sqrt.f64 (+.f64 f n))))
(+.f64 (.f64 n (sqrt.f64 (+.f64 f n))) (.f64 (*.f64 (neg.f64 f) 1) (sqrt.f64 (+.f64 f n))))
(+.f64 (.f64 (neg.f64 f) (sqrt.f64 (+.f64 f n))) (.f64 n (sqrt.f64 (+.f64 f n))))
(+.f64 (.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) n) (.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) f))
(+.f64 (.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) n)) (.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 f))))
(+.f64 (.f64 1 (.f64 n (sqrt.f64 (+.f64 f n)))) (.f64 1 (.f64 (neg.f64 f) (sqrt.f64 (+.f64 f n)))))
(+.f64 (.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) f) (.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) n))
(+.f64 (.f64 (/.f64 (+.f64 f n) (neg.f64 (sqrt.f64 (+.f64 f n)))) (neg.f64 n)) (.f64 (/.f64 (+.f64 f n) (neg.f64 (sqrt.f64 (+.f64 f n)))) (neg.f64 (neg.f64 f))))
(+.f64 (.f64 n (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))) (.f64 f (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 f n)) n) 1) (.f64 (.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 f)) 1))
(+.f64 (.f64 (.f64 n (sqrt.f64 (+.f64 f n))) 1) (.f64 (.f64 (neg.f64 f) (sqrt.f64 (+.f64 f n))) 1))
(+.f64 (.f64 f (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))) (.f64 n (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(+.f64 (.f64 (neg.f64 n) (/.f64 (+.f64 f n) (neg.f64 (sqrt.f64 (+.f64 f n))))) (.f64 (neg.f64 (neg.f64 f)) (/.f64 (+.f64 f n) (neg.f64 (sqrt.f64 (+.f64 f n))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))
(.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 1)
(.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (cbrt.f64 (*.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2))))
(.f64 (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) (+.f64 f n))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(.f64 (.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(.f64 (.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) (/.f64 (+.f64 f n) (/.f64 1 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (/.f64 (+.f64 f n) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (/.f64 (+.f64 f n) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 f n) 1) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (neg.f64 (sqrt.f64 (+.f64 f n)))) (neg.f64 (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) -1)
(neg.f64 (/.f64 (+.f64 f n) (/.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(sqrt.f64 (*.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))

Outputs
(sqrt.f64 (/.f64 1 n))
(+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n)))
(fma.f64 f (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (sqrt.f64 (/.f64 1 n)))
(fma.f64 f (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) 3/2) (sqrt.f64 (/.f64 1 n)))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n))))
(fma.f64 (.f64 f f) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (fma.f64 f (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (sqrt.f64 (/.f64 1 n))))
(fma.f64 (.f64 f f) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) 11/8) (fma.f64 f (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) 3/2) (sqrt.f64 (/.f64 1 n))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 n)))))
(fma.f64 (.f64 f f) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (fma.f64 f (.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) (.f64 17/16 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (pow.f64 f 3) (sqrt.f64 (/.f64 1 n)))))
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(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 1)
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 1 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (cbrt.f64 (*.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2))))
(.f64 (cbrt.f64 (.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(.f64 (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(.f64 (cbrt.f64 (.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(*.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) (+.f64 f n))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) (/.f64 (+.f64 f n) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (/.f64 (+.f64 f n) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (/.f64 (+.f64 f n) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))) (/.f64 (+.f64 n f) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))))
(/.f64 (/.f64 (+.f64 n f) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) 1) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (neg.f64 (sqrt.f64 (+.f64 f n)))) (neg.f64 (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))) (/.f64 (+.f64 n f) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))))
(/.f64 (/.f64 (+.f64 n f) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (cbrt.f64 (/.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 1)
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 2)
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 3)
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3) 1/3)
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(pow.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) -1)
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (/.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(sqrt.f64 (*.f64 (+.f64 f n) (pow.f64 (-.f64 n f) 2)))
(sqrt.f64 (*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) 1))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))

eval817.0ms (7.9%)

Compiler: Compiled 47093 to 19394 computations (58.8% saved)

prune618.0ms (6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1967	5	1972
Fresh	0	2	2
Picked	1	0	1
Done	3	2	5
Total	1971	9	1980

Error

Counts

1980 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	29.1b	(/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
✓	30.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
▶	0.1b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1) (*.f64 (/.f64 1 (-.f64 n f)) f))
▶	0.1b	(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (/.f64 1 (/.f64 (-.f64 n f) f)))
	33.7b	1
	30.5b	-1

Compiler

Compiled 178 to 106 computations (40.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 n (-.f64 n f))
✓	0.0b	(/.f64 f (-.f64 n f))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	n	@	-inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms	n	@	0	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms	n	@	inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms	f	@	-inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms	f	@	inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`associate-/l*`
1194×	`associate-/r/`
960×	`distribute-lft-in`
502×	`associate-/l/`
260×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	57
1	193	51
2	3207	51

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (-.f64 1 (/.f64 f (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) (-.f64 1 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 n f)) (-.f64 n f)) (/.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (-.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 n (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 f (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n 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3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f))) (*.f64 n (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) 1) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n 1) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f))) (*.f64 n (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (+.f64 (neg.f64 n) f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))))))

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-r`
950×	`*-commutative`
714×	`associate-l`
664×	`associate-*l/`
642×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	708	15451
1	2323	14403

Stop Event

1×	node limit

Counts

305 → 464

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (-.f64 1 (/.f64 f (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) (-.f64 1 (/.f64 n (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))) 1)
(-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 n f)) (-.f64 n f)) (/.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (-.f64 n f) (-.f64 n f))))
(-.f64 (+.f64 (/.f64 n (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f))))) 1)
(-.f64 (+.f64 (/.f64 f (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f))))) 1)
(.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)
(.f64 1 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))
(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(.f64 (cbrt.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2) (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(*.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (/.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(.f64 (fma.f64 n (-.f64 n f) (.f64 f (-.f64 n f))) (/.f64 1 (pow.f64 (-.f64 n f) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)))
(.f64 (/.f64 1 (pow.f64 (-.f64 n f) 2)) (fma.f64 n (-.f64 n f) (.f64 f (-.f64 n f))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 n f)) (-.f64 n f))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 (.f64 n (-.f64 n f)) (*.f64 f (-.f64 n f)))) (pow.f64 (-.f64 n f) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (+.f64 (neg.f64 n) f)) (+.f64 (neg.f64 n) f))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 (.f64 n (/.f64 (-.f64 n f) f)) (-.f64 n f))) (*.f64 (-.f64 n f) (/.f64 (-.f64 n f) f)))
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(.f64 (pow.f64 (cbrt.f64 f) 2) (.f64 (cbrt.f64 f) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 f) (/.f64 1 (+.f64 (neg.f64 n) f)))
(*.f64 (/.f64 1 (-.f64 n f)) f)
(*.f64 (/.f64 f 1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 f (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 f (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 f (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (.f64 f (+.f64 n f)))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 n) f)) (neg.f64 f))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 f) (-.f64 n f)) (sqrt.f64 f))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (-.f64 n f)) (cbrt.f64 f))
(.f64 (/.f64 f (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(.f64 (/.f64 f (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 f (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 f (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f))
(.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 f 1) 1) (/.f64 1 (-.f64 n f)))
(.f64 (/.f64 (/.f64 f 1) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (/.f64 (/.f64 f 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 (/.f64 f 1) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(.f64 (/.f64 (/.f64 f 1) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 f 1) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 (/.f64 f 1) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(.f64 (/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(pow.f64 (/.f64 f (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 3)
(pow.f64 (/.f64 (-.f64 n f) f) -1)
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 1/3)
(neg.f64 (/.f64 f (+.f64 (neg.f64 n) f)))
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 f (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 f (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 f (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 f (-.f64 n f))))
(+.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) n) (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) f))
(+.f64 (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) f) (.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) n))
(+.f64 (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 n f))) (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))
(+.f64 (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (.f64 f f))) (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(*.f64 n (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 n (-.f64 n f)) 1)
(*.f64 1 (/.f64 n (-.f64 n f)))
(*.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) n)
(*.f64 (neg.f64 n) (/.f64 1 (+.f64 (neg.f64 n) f)))
(*.f64 (/.f64 n 1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 n (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 n (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (.f64 n (+.f64 n f)))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 n) f)) (neg.f64 n))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (-.f64 n f)) (sqrt.f64 n))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (-.f64 n f)) (cbrt.f64 n))
(.f64 (/.f64 n (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(.f64 (/.f64 n (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 n (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f))
(.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 n 1) 1) (/.f64 1 (-.f64 n f)))
(.f64 (/.f64 (/.f64 n 1) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (/.f64 (/.f64 n 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 n 1) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 (/.f64 n 1) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(pow.f64 (/.f64 n (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 3)
(pow.f64 (/.f64 (-.f64 n f) n) -1)
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)
(neg.f64 (/.f64 n (+.f64 (neg.f64 n) f)))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 n (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))

Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(+.f64 -1 (.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (.f64 f f) n)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(+.f64 -1 (.f64 -2 (+.f64 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (.f64 f f) n))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (neg.f64 (/.f64 f n))))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))) (neg.f64 (/.f64 f n))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (/.f64 f (/.f64 (.f64 n n) f))))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))) (neg.f64 (/.f64 f n)))
(+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (/.f64 f (/.f64 (.f64 n n) f)))))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)))
(+.f64 1 (/.f64 (neg.f64 (*.f64 f -2)) n))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n)))))
(+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (+.f64 (/.f64 (neg.f64 (.f64 f -2)) n) (+.f64 1 (/.f64 f (/.f64 (*.f64 n n) f)))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 f) f) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (/.f64 f (/.f64 (.f64 n n) f)) (+.f64 1 (+.f64 (neg.f64 (+.f64 (/.f64 (.f64 f -2) n) (/.f64 (.f64 (pow.f64 f 3) -2) (pow.f64 n 3)))) (/.f64 f (/.f64 (.f64 n n) f)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))
(+.f64 (.f64 2 (/.f64 f (/.f64 (.f64 n n) f))) (fma.f64 2 (/.f64 f n) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (.f64 2 (/.f64 f (/.f64 (.f64 n n) f))) (fma.f64 2 (/.f64 f n) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -2 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (neg.f64 n) f)) (+.f64 (/.f64 n f) 1))
(-.f64 (fma.f64 -2 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f)) (+.f64 (/.f64 n f) 1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (neg.f64 n) f))) (+.f64 (/.f64 n f) 1))
(+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n (/.f64 (.f64 f f) n)))) (-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (.f64 n n) (*.f64 f f))))
(+.f64 (/.f64 (neg.f64 (.f64 n n)) (.f64 f f)) (-.f64 (fma.f64 -2 (/.f64 n f) -1) (/.f64 n (/.f64 (*.f64 f f) n))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (neg.f64 (pow.f64 n 3))) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (.f64 n n) (*.f64 f f))))
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(.f64 (/.f64 (/.f64 f 1) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
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(.f64 (/.f64 (/.f64 f 1) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (+.f64 n f) (/.f64 f (-.f64 (.f64 n n) (*.f64 f f))))
(*.f64 (+.f64 n f) (/.f64 (/.f64 f (+.f64 n f)) (-.f64 n f)))
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(.f64 (-.f64 (fma.f64 n n (.f64 f f)) (*.f64 n (neg.f64 f))) (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
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(.f64 (/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 f (.f64 (sqrt.f64 (-.f64 (.f64 n n) (.f64 f f))) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 f (.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 (.f64 n n) (.f64 f f))))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 f (.f64 (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 f (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(/.f64 (.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (+.f64 n f))) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
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(/.f64 f (-.f64 n f))
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(/.f64 f (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 3)
(/.f64 f (-.f64 n f))
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(/.f64 f (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 1/3)
(/.f64 f (-.f64 n f))
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(/.f64 f (-.f64 n f))
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(exp.f64 (log.f64 (/.f64 f (-.f64 n f))))
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(/.f64 f (-.f64 n f))
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(+.f64 (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (.f64 f f))) (.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(/.f64 n (-.f64 n f))
(*.f64 n (/.f64 1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 n (-.f64 n f)) 1)
(/.f64 n (-.f64 n f))
(*.f64 1 (/.f64 n (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))))
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(.f64 (/.f64 1 (-.f64 n f)) (.f64 (sqrt.f64 n) (sqrt.f64 n)))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 n)))
(.f64 (/.f64 1 (-.f64 n f)) (.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 1 (-.f64 n f)) n)
(/.f64 n (-.f64 n f))
(*.f64 (neg.f64 n) (/.f64 1 (+.f64 (neg.f64 n) f)))
(/.f64 (*.f64 (neg.f64 n) 1) (+.f64 f (neg.f64 n)))
(/.f64 (neg.f64 n) (+.f64 f (neg.f64 n)))
(*.f64 (/.f64 n 1) (/.f64 1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 n (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 n (cbrt.f64 (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 n (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(.f64 (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (+.f64 n f) (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (.f64 n (+.f64 n f)))
(/.f64 (.f64 1 (.f64 n (+.f64 n f))) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 n (.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 n) f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 n) 1) (+.f64 f (neg.f64 n)))
(/.f64 (neg.f64 n) (+.f64 f (neg.f64 n)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(/.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 n)) (-.f64 n f))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (-.f64 n f)) (sqrt.f64 n))
(/.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 n)) (-.f64 n f))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (-.f64 n f)) (cbrt.f64 n))
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (-.f64 n f)))
(.f64 (/.f64 n (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(neg.f64 (.f64 (/.f64 n (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f)))
(.f64 (+.f64 n f) (/.f64 (neg.f64 n) (+.f64 (neg.f64 (.f64 n n)) (*.f64 f f))))
(.f64 (/.f64 n (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 n (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(/.f64 (neg.f64 n) (/.f64 (+.f64 (pow.f64 f 3) (neg.f64 (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 n (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (-.f64 n (neg.f64 f)) (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(.f64 (-.f64 (fma.f64 n n (.f64 f f)) (*.f64 n (neg.f64 f))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (+.f64 (.f64 f f) (*.f64 n (-.f64 n (neg.f64 f)))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 n)))
(.f64 (/.f64 1 (-.f64 n f)) (.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f))
(neg.f64 (.f64 (/.f64 n (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f)))
(.f64 (+.f64 n f) (/.f64 (neg.f64 n) (+.f64 (neg.f64 (.f64 n n)) (*.f64 f f))))
(.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 n (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(/.f64 (neg.f64 n) (/.f64 (+.f64 (pow.f64 f 3) (neg.f64 (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (/.f64 n 1) 1) (/.f64 1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (/.f64 (/.f64 n 1) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (+.f64 n f) (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 (/.f64 n 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(neg.f64 (.f64 (/.f64 n (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f)))
(.f64 (+.f64 n f) (/.f64 (neg.f64 n) (+.f64 (neg.f64 (.f64 n n)) (*.f64 f f))))
(.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 n (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(/.f64 (neg.f64 n) (/.f64 (+.f64 (pow.f64 f 3) (neg.f64 (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (/.f64 n 1) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (-.f64 n (neg.f64 f)) (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 (/.f64 n 1) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(.f64 (-.f64 (fma.f64 n n (.f64 f f)) (*.f64 n (neg.f64 f))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (+.f64 (.f64 f f) (*.f64 n (-.f64 n (neg.f64 f)))) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(.f64 (sqrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 n (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))))
(/.f64 (/.f64 (.f64 n (sqrt.f64 (+.f64 n f))) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 n (*.f64 (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 n n (.f64 f (+.f64 n f)))) (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(.f64 (cbrt.f64 (+.f64 n f)) (/.f64 n (.f64 (cbrt.f64 (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(.f64 (cbrt.f64 (+.f64 n f)) (/.f64 n (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 (.f64 n n) (.f64 f f))))))
(pow.f64 (/.f64 n (-.f64 n f)) 1)
(/.f64 n (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2)
(/.f64 n (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 3)
(/.f64 n (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) n) -1)
(/.f64 n (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)
(/.f64 n (-.f64 n f))
(neg.f64 (/.f64 n (+.f64 (neg.f64 n) f)))
(/.f64 (*.f64 (neg.f64 n) 1) (+.f64 f (neg.f64 n)))
(/.f64 (neg.f64 n) (+.f64 f (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 n f)))))
(/.f64 n (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3))
(/.f64 n (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(exp.f64 (log.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) 1))
(/.f64 n (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 n f))
	0.0b	(/.f64 1 (-.f64 n f))
✓	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(/.f64 1 (+.f64 n f))
0.0ms	n	@	0	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
0.0ms	f	@	0	(/.f64 1 (+.f64 n f))
0.0ms	n	@	inf	(/.f64 1 (+.f64 n f))
0.0ms	n	@	-inf	(/.f64 1 (+.f64 n f))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`associate-/l*`
1278×	`associate-/r/`
1108×	`*-commutative`
756×	`distribute-lft-in`
746×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	227	32
2	3249	32

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
(/.f64 1 (+.f64 n f))

Outputs

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simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

870×	`+-commutative`
618×	`*-commutative`
592×	`associate-r`
532×	`associate-l`
506×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	7225
1	1514	6619
2	6345	6619

Stop Event

1×	node limit

Counts

187 → 250

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(/.f64 1 f)
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3))))
(+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3)))))
(/.f64 1 n)
(+.f64 (*.f64 -1 (/.f64 f (pow.f64 n 2))) (/.f64 1 n))
(+.f64 (*.f64 -1 (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 1 n) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (.f64 -1 (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 1 n) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (*.f64 -1 (/.f64 f (pow.f64 n 2))) (/.f64 1 n))
(+.f64 (*.f64 -1 (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 1 n) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (.f64 -1 (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 1 n) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (*.f64 -1 (/.f64 f (pow.f64 n 2))) (/.f64 1 n))
(+.f64 (*.f64 -1 (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 1 n) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (.f64 -1 (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 1 n) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 f)
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3))))
(+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3)))))
(/.f64 1 f)
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3))))
(+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3)))))
(+.f64 (.f64 n (/.f64 1 (-.f64 n f))) (.f64 f (/.f64 1 (-.f64 n f))))
(+.f64 (.f64 f (/.f64 1 (-.f64 n f))) (.f64 n (/.f64 1 (-.f64 n f))))
(+.f64 (.f64 1 (.f64 n (/.f64 1 (-.f64 n f)))) (.f64 1 (.f64 f (/.f64 1 (-.f64 n f)))))
(+.f64 (.f64 1 (.f64 f (/.f64 1 (-.f64 n f)))) (.f64 1 (.f64 n (/.f64 1 (-.f64 n f)))))
(+.f64 (.f64 (/.f64 -1 (-.f64 n f)) (neg.f64 f)) (.f64 (/.f64 -1 (-.f64 n f)) (neg.f64 n)))
(+.f64 (.f64 (/.f64 -1 (-.f64 n f)) (neg.f64 n)) (.f64 (/.f64 -1 (-.f64 n f)) (neg.f64 f)))
(+.f64 (.f64 (.f64 n (/.f64 1 (-.f64 n f))) 1) (.f64 (.f64 f (/.f64 1 (-.f64 n f))) 1))
(+.f64 (.f64 (.f64 f (/.f64 1 (-.f64 n f))) 1) (.f64 (.f64 n (/.f64 1 (-.f64 n f))) 1))
(+.f64 (.f64 (neg.f64 f) (/.f64 -1 (-.f64 n f))) (.f64 (neg.f64 n) (/.f64 -1 (-.f64 n f))))
(+.f64 (.f64 (neg.f64 n) (/.f64 -1 (-.f64 n f))) (.f64 (neg.f64 f) (/.f64 -1 (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (neg.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(.f64 (sqrt.f64 (+.f64 n f)) (.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(.f64 (pow.f64 (-.f64 n f) -1/2) (.f64 (+.f64 n f) (pow.f64 (-.f64 n f) -1/2)))
(.f64 (cbrt.f64 (+.f64 n f)) (.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (pow.f64 (+.f64 n f) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (.f64 (+.f64 n f) (cbrt.f64 (/.f64 1 (-.f64 n f)))))
(.f64 -1 (.f64 (/.f64 -1 (-.f64 n f)) (+.f64 n f)))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 -1 (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(.f64 (.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(.f64 (.f64 (+.f64 n f) (cbrt.f64 (/.f64 1 (-.f64 n f)))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(.f64 (.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))
(.f64 (.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (+.f64 n f))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 n f) -2))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (pow.f64 (+.f64 n f) 2))
(.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (.f64 (+.f64 n f) (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2))
(.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (+.f64 n f))))
(.f64 (.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (pow.f64 (+.f64 n f) -2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) 1) (.f64 (/.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) 1) (+.f64 n f)))
(.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) 1) (+.f64 n f)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) 1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (pow.f64 (+.f64 n f) -1/2)) (/.f64 1 (.f64 (pow.f64 (+.f64 n f) -1/2) (cbrt.f64 (-.f64 n f)))))
(.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 n f) -1/2) (cbrt.f64 (-.f64 n f)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (+.f64 n f))) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(.f64 (/.f64 1 (.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (+.f64 n f)))) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 n n) (.f64 f f)) -1)) (*.f64 (+.f64 n f) (-.f64 (neg.f64 f) n)))
(.f64 (/.f64 1 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) -1)) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 n f))) -1)
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))
(.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 (+.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (.f64 n n) (.f64 (neg.f64 f) (neg.f64 f))) (.f64 n (neg.f64 f))))
(.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (+.f64 n f))
(.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) 1) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -2))) 1) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -2))) -1) (cbrt.f64 (-.f64 (neg.f64 f) n)))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f (-.f64 f n)) (.f64 f (-.f64 f n))))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f (-.f64 f n)) 3))) (+.f64 (.f64 (.f64 n n) (.f64 n n)) (-.f64 (.f64 (.f64 f (-.f64 f n)) (.f64 f (-.f64 f n))) (.f64 (.f64 n n) (*.f64 f (-.f64 f n))))))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(neg.f64 (*.f64 (/.f64 -1 (-.f64 n f)) (+.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)) (pow.f64 (/.f64 1 (+.f64 n f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(+.f64 (/.f64 1 (+.f64 n f)) (.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (fma.f64 (neg.f64 f) 1 f)))
(+.f64 (/.f64 1 (+.f64 n f)) (.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(+.f64 (/.f64 1 (+.f64 n f)) (.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f)))
(+.f64 (/.f64 1 (+.f64 n f)) (.f64 (fma.f64 (neg.f64 f) 1 f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f)))))
(+.f64 (/.f64 1 (+.f64 n f)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f)))))
(+.f64 (/.f64 1 (+.f64 n f)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) n) (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (neg.f64 f)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (neg.f64 f)) (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) n))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (-.f64 f n))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (-.f64 f n))) (.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))
(+.f64 (.f64 n (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))) (.f64 (neg.f64 f) (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))))
(+.f64 (.f64 (neg.f64 f) (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))) (.f64 n (/.f64 1 (-.f64 (.f64 n n) (.f64 f f)))))
(+.f64 (.f64 (.f64 n n) (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (.f64 f (-.f64 f n)) (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (.f64 (.f64 f (-.f64 f n)) (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (.f64 n n) (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 n f)))) 1)
(*.f64 1 (/.f64 1 (+.f64 n f)))
(.f64 (-.f64 n f) (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))))
(*.f64 (/.f64 1 (+.f64 n f)) 1)
(*.f64 (pow.f64 (+.f64 n f) -1/2) (pow.f64 (+.f64 n f) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 n f) -2)) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 -1 (/.f64 -1 (+.f64 n f)))
(*.f64 (/.f64 -1 (+.f64 n f)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(.f64 (/.f64 1 (-.f64 (.f64 n n) (*.f64 f f))) (-.f64 n f))
(.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (-.f64 f n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 n f) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 n f)) -1) (pow.f64 (sqrt.f64 (+.f64 n f)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 n f)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) -1))
(.f64 (/.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (-.f64 (.f64 (pow.f64 n 3) (pow.f64 n 3)) (.f64 (pow.f64 f 3) (pow.f64 f 3)))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(.f64 (/.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (+.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (-.f64 (+.f64 (.f64 (pow.f64 n 3) (pow.f64 n 3)) (.f64 (pow.f64 f 3) (pow.f64 f 3))) (*.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))) (-.f64 n f))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (-.f64 n f)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (-.f64 n f))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (-.f64 f n))))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(.f64 (/.f64 1 (-.f64 (.f64 f f) (*.f64 n n))) (-.f64 f n))
(.f64 (/.f64 (pow.f64 (+.f64 n f) -1/2) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (-.f64 n f)))
(.f64 (/.f64 (pow.f64 (+.f64 n f) -1/2) (sqrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (-.f64 n f)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (-.f64 n f) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f f) (.f64 f f)))) (+.f64 (.f64 f f) (*.f64 n n)))
(.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f f) 3))) (+.f64 (+.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f f) (.f64 f f))) (.f64 (.f64 f f) (.f64 n n))))
(pow.f64 (+.f64 n f) -1)
(pow.f64 (/.f64 1 (+.f64 n f)) 1)
(pow.f64 (pow.f64 (+.f64 n f) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 n f))))
(exp.f64 (neg.f64 (log.f64 (+.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 n f))))

Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) -1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (neg.f64 (/.f64 f n))))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (neg.f64 (/.f64 f n)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) (-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f)))) (/.f64 f n)) (neg.f64 (/.f64 f n))))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (neg.f64 (/.f64 f n))))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (neg.f64 (/.f64 f n)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) (-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f)))) (/.f64 f n)) (neg.f64 (/.f64 f n))))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) -1)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) -1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) -1))
(/.f64 1 f)
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 1 f))
(-.f64 (/.f64 1 f) (/.f64 n (*.f64 f f)))
(+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3))))
(+.f64 (fma.f64 -1 (/.f64 n (.f64 f f)) (/.f64 1 f)) (/.f64 (.f64 n n) (pow.f64 f 3)))
(+.f64 (-.f64 (/.f64 1 f) (/.f64 n (*.f64 f f))) (/.f64 n (/.f64 (pow.f64 f 3) n)))
(-.f64 (/.f64 1 f) (-.f64 (/.f64 n (*.f64 f f)) (/.f64 n (/.f64 (pow.f64 f 3) n))))
(+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (+.f64 (/.f64 1 f) (/.f64 (pow.f64 n 2) (pow.f64 f 3)))))
(fma.f64 -1 (/.f64 n (.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4)) (+.f64 (/.f64 1 f) (/.f64 (.f64 n n) (pow.f64 f 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 f) (/.f64 n (/.f64 (pow.f64 f 3) n))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 n (*.f64 f f)))
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(/.f64 (-.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) 1) (-.f64 (.f64 n n) (*.f64 f f)))
(/.f64 (-.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(/.f64 (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) 1) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (.f64 f (-.f64 f n))))
(/.f64 (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) 1) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 n f))) (.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)) (/.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(.f64 (cbrt.f64 (-.f64 n f)) (.f64 (/.f64 1 (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (-.f64 (.f64 n n) (*.f64 f f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(.f64 (/.f64 1 (-.f64 (.f64 f f) (*.f64 n n))) (-.f64 f n))
(/.f64 (.f64 (-.f64 n f) 1) (-.f64 (.f64 n n) (*.f64 f f)))
(/.f64 (-.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 (pow.f64 (+.f64 n f) -1/2) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (sqrt.f64 (-.f64 n f)))
(.f64 (sqrt.f64 (-.f64 n f)) (/.f64 (pow.f64 (+.f64 n f) -1/2) (sqrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))))
(/.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 (sqrt.f64 (-.f64 (.f64 n n) (.f64 f f))) (sqrt.f64 (-.f64 n f))))
(.f64 (/.f64 (pow.f64 (+.f64 n f) -1/2) (sqrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (pow.f64 (+.f64 n f) -1/2) (hypot.f64 (pow.f64 f 3/2) (pow.f64 n 3/2))) (sqrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (cbrt.f64 (-.f64 n f)))
(.f64 (cbrt.f64 (-.f64 n f)) (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))
(.f64 (cbrt.f64 (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) -2) (cbrt.f64 (-.f64 (.f64 n n) (*.f64 f f)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (fma.f64 n n (*.f64 f (-.f64 f n)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) -2) (cbrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (-.f64 n f) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f f) (.f64 f f)))) (+.f64 (.f64 f f) (*.f64 n n)))
(.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 n 4) (pow.f64 f 4))) (fma.f64 n n (.f64 f f)))
(.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f f) 3))) (+.f64 (+.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f f) (.f64 f f))) (.f64 (.f64 f f) (.f64 n n))))
(.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (+.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)) (.f64 (.f64 n n) (.f64 f f))))
(.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (fma.f64 f (.f64 n (*.f64 n f)) (+.f64 (pow.f64 n 4) (pow.f64 f 4))))
(pow.f64 (+.f64 n f) -1)
(/.f64 1 (+.f64 n f))
(pow.f64 (/.f64 1 (+.f64 n f)) 1)
(/.f64 1 (+.f64 n f))
(pow.f64 (pow.f64 (+.f64 n f) -1/2) 2)
(/.f64 1 (+.f64 n f))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 n f))) 3)
(/.f64 1 (+.f64 n f))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3) 1/3)
(/.f64 1 (+.f64 n f))
(sqrt.f64 (pow.f64 (+.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 n f))))
(/.f64 1 (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 n f)))))
(/.f64 1 (+.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3))
(/.f64 1 (+.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 n f))))
(/.f64 1 (+.f64 n f))
(exp.f64 (neg.f64 (log.f64 (+.f64 n f))))
(/.f64 1 (+.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 n f))))
(/.f64 1 (+.f64 n f))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 n f) f)
✓	0.0b	(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (/.f64 1 (/.f64 (-.f64 n f) f)))
	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) n)
✓	0.7b	(/.f64 1 (/.f64 (-.f64 n f) f))

Compiler

Compiled 47 to 18 computations (61.7% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	n	@	-inf	(/.f64 (-.f64 n f) f)
0.0ms	n	@	inf	(/.f64 (-.f64 n f) f)
0.0ms	f	@	-inf	(/.f64 (-.f64 n f) f)
0.0ms	f	@	inf	(/.f64 (-.f64 n f) f)
0.0ms	n	@	0	(/.f64 (-.f64 n f) f)

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`associate-/l*`
1188×	`associate-/r/`
894×	`distribute-lft-in`
544×	`associate-/l/`
266×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	254	51
2	3803	51

Stop Event

1×	node limit

Counts

3 → 209

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (-.f64 n f) f))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (/.f64 1 (/.f64 (-.f64 n f) f)))
(/.f64 (-.f64 n f) f)

Outputs

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(/.f64 n f) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 n f) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n f) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 n f) -1)))))))

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1192×	`associate-r`
956×	`associate-l`
832×	`*-commutative`
690×	`associate-/l*`
666×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	644	11443
1	2111	10989

Stop Event

1×	node limit

Counts

281 → 402

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
-1
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(/.f64 n f)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(/.f64 n f)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(/.f64 n f)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
-1
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
-1
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(-.f64 (/.f64 n f) 1)
(+.f64 (.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) n) (.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) f))
(+.f64 (.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) f) (.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) n))
(+.f64 (.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)) (.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (+.f64 n f))) (.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 n n)))
(+.f64 (.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 f f) (.f64 n n))) (.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) 1)
(*.f64 1 (/.f64 f (-.f64 n f)))
(*.f64 f (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 f (-.f64 n f)) 1)
(*.f64 (/.f64 1 (-.f64 n f)) f)
(*.f64 (/.f64 1 (-.f64 n f)) (neg.f64 (neg.f64 f)))
(*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (pow.f64 f -1) -1))
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(pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (+.f64 (/.f64 n f) -1) (*.f64 (pow.f64 f -1) (fma.f64 (neg.f64 f) 1 f)))
(+.f64 (+.f64 (/.f64 n f) -1) (*.f64 (pow.f64 f -1) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(+.f64 (+.f64 (/.f64 n f) -1) (*.f64 (pow.f64 f -1) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f)))
(+.f64 (/.f64 n f) -1)
(+.f64 (/.f64 n f) (*.f64 (pow.f64 f -1) (neg.f64 f)))
(+.f64 (/.f64 n f) (.f64 (pow.f64 f -1) (.f64 (neg.f64 f) 1)))
(+.f64 -1 (/.f64 n f))
(+.f64 (*.f64 (pow.f64 f -1) (neg.f64 f)) (/.f64 n f))
(-.f64 (/.f64 n f) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 n f) -1))) 1)
(*.f64 1 (+.f64 (/.f64 n f) -1))
(*.f64 1 (neg.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(*.f64 (-.f64 n f) (pow.f64 f -1))
(*.f64 (+.f64 (/.f64 n f) -1) 1)
(.f64 (sqrt.f64 (-.f64 n f)) (.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 f -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) (sqrt.f64 (+.f64 (/.f64 n f) -1)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 f -1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(*.f64 (pow.f64 f -1) (-.f64 n f))
(*.f64 -1 (/.f64 (neg.f64 (-.f64 n f)) f))
(*.f64 (neg.f64 (-.f64 n f)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (-.f64 n f) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (-.f64 n f) (cbrt.f64 f)))
(*.f64 (/.f64 1 (neg.f64 f)) (neg.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) (/.f64 (sqrt.f64 (-.f64 n f)) f))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) f) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) f) (cbrt.f64 (-.f64 n f)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(*.f64 (/.f64 1 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) 1) (sqrt.f64 (+.f64 (/.f64 n f) -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) 1) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n f) (.f64 n f)))) (-.f64 (.f64 f f) (*.f64 n f)))
(.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n f) 3))) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (-.f64 (.f64 (.f64 n f) (.f64 n f)) (.f64 (.f64 f f) (.f64 n f)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 n n) (.f64 f f)) (pow.f64 f -1)) (-.f64 (.f64 n n) (.f64 f f))) (-.f64 n f))
(.f64 (/.f64 (.f64 (-.f64 (.f64 n n) (.f64 f f)) (pow.f64 f -1)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (-.f64 (.f64 f f) (*.f64 n f))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (pow.f64 f -1)) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f (+.f64 n f)) (.f64 f (+.f64 n f))))) (-.f64 (.f64 n n) (.f64 f (+.f64 n f))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (pow.f64 f -1)) (+.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f (+.f64 n f)) 3))) (+.f64 (.f64 (.f64 n n) (.f64 n n)) (-.f64 (.f64 (.f64 f (+.f64 n f)) (.f64 f (+.f64 n f))) (.f64 (.f64 n n) (*.f64 f (+.f64 n f))))))
(pow.f64 (+.f64 (/.f64 n f) -1) 1)
(pow.f64 (/.f64 f (-.f64 n f)) -1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 3) 1/3)
(neg.f64 (/.f64 (-.f64 n f) (neg.f64 f)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 n f) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n f) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 n f) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 n f) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n f) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 n f) -1)))

Outputs
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 n n) (.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1 (pow.f64 (/.f64 n f) 3) (neg.f64 (/.f64 n f)))) -1)
(+.f64 (neg.f64 (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (pow.f64 (/.f64 n f) 3))) (fma.f64 -1 (/.f64 n f) -1))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (/.f64 f (*.f64 n (/.f64 n f))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f (*.f64 n (/.f64 n f))) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (/.f64 f (*.f64 n (/.f64 n f))) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (/.f64 f (*.f64 n (/.f64 n f))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f (*.f64 n (/.f64 n f))) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (/.f64 f (*.f64 n (/.f64 n f))) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (/.f64 f (*.f64 n (/.f64 n f))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f (*.f64 n (/.f64 n f))) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (/.f64 f (*.f64 n (/.f64 n f))) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 n n) (.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1 (pow.f64 (/.f64 n f) 3) (neg.f64 (/.f64 n f)))) -1)
(+.f64 (neg.f64 (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (pow.f64 (/.f64 n f) 3))) (fma.f64 -1 (/.f64 n f) -1))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 n n) (.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1 (pow.f64 (/.f64 n f) 3) (neg.f64 (/.f64 n f)))) -1)
(+.f64 (neg.f64 (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (pow.f64 (/.f64 n f) 3))) (fma.f64 -1 (/.f64 n f) -1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(+.f64 -1 (.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (.f64 f f) n)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 n f) 3) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(+.f64 -1 (.f64 -2 (+.f64 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (.f64 f f) n))) (pow.f64 (/.f64 n f) 3))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 f (.f64 n (/.f64 n f)))) (+.f64 (/.f64 f n) (/.f64 f n))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))) (/.f64 (neg.f64 f) n))
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (.f64 2 (/.f64 f (.f64 n (/.f64 n f))))) (+.f64 (/.f64 2 (pow.f64 (/.f64 n f) 3)) (/.f64 f n)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (/.f64 f (.f64 n (/.f64 n f))) (+.f64 (/.f64 f (.f64 n (/.f64 n f))) (fma.f64 2 (/.f64 f n) 1)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 f) f) n) (/.f64 (-.f64 (pow.f64 (neg.f64 f) 3) (pow.f64 f 3)) (pow.f64 n 3))))) (neg.f64 (/.f64 (.f64 f f) (*.f64 n n)))))
(+.f64 (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (neg.f64 (.f64 (pow.f64 f 3) -2)) (pow.f64 n 3))) (+.f64 (/.f64 f (.f64 n (/.f64 n f))) (/.f64 f (*.f64 n (/.f64 n f)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)))
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
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(fma.f64 (/.f64 1 f) (neg.f64 f) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (neg.f64 f) f))
(+.f64 (/.f64 n f) (.f64 (pow.f64 f -1) (.f64 (neg.f64 f) 1)))
(fma.f64 (/.f64 1 f) (neg.f64 f) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (neg.f64 f) f))
(+.f64 -1 (/.f64 n f))
(+.f64 (*.f64 (pow.f64 f -1) (neg.f64 f)) (/.f64 n f))
(fma.f64 (/.f64 1 f) (neg.f64 f) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (neg.f64 f) f))
(-.f64 (/.f64 n f) 1)
(+.f64 -1 (/.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 n f) -1))) 1)
(+.f64 -1 (/.f64 n f))
(*.f64 1 (+.f64 (/.f64 n f) -1))
(+.f64 -1 (/.f64 n f))
(*.f64 1 (neg.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(/.f64 (-.f64 n f) f)
(*.f64 (-.f64 n f) (pow.f64 f -1))
(/.f64 (-.f64 n f) f)
(*.f64 (+.f64 (/.f64 n f) -1) 1)
(+.f64 -1 (/.f64 n f))
(.f64 (sqrt.f64 (-.f64 n f)) (.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 f -1)))
(.f64 (sqrt.f64 (-.f64 n f)) (.f64 (/.f64 1 f) (sqrt.f64 (-.f64 n f))))
(.f64 (/.f64 1 f) (.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) (sqrt.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 f -1)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (.f64 (/.f64 1 f) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 1 f) (.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2))
(+.f64 -1 (/.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(*.f64 (pow.f64 f -1) (-.f64 n f))
(/.f64 (-.f64 n f) f)
(*.f64 -1 (/.f64 (neg.f64 (-.f64 n f)) f))
(/.f64 (-.f64 n f) f)
(*.f64 (neg.f64 (-.f64 n f)) (/.f64 1 (neg.f64 f)))
(/.f64 (-.f64 n f) f)
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (-.f64 n f) (sqrt.f64 f)))
(/.f64 (/.f64 (-.f64 n f) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (-.f64 n f) (cbrt.f64 f)))
(/.f64 (/.f64 (-.f64 n f) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 1 (neg.f64 f)) (neg.f64 (-.f64 n f)))
(/.f64 (-.f64 n f) f)
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) (/.f64 (sqrt.f64 (-.f64 n f)) f))
(*.f64 (sqrt.f64 (-.f64 n f)) (/.f64 (sqrt.f64 (-.f64 n f)) f))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) f) (sqrt.f64 (-.f64 n f)))
(*.f64 (sqrt.f64 (-.f64 n f)) (/.f64 (sqrt.f64 (-.f64 n f)) f))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) f))
(*.f64 (cbrt.f64 (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 f)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (/.f64 (sqrt.f64 f) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) f) (cbrt.f64 (-.f64 n f)))
(*.f64 (cbrt.f64 (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) f))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(*.f64 (/.f64 1 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (.f64 (/.f64 1 f) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 1 f) (.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) 1) (sqrt.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 n f))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 n f))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 f n) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) 1) (cbrt.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (-.f64 n f)) f)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 n f))) 2) (cbrt.f64 (/.f64 (neg.f64 (-.f64 n f)) f))) -1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 n f))) 2) -1) (cbrt.f64 (/.f64 (-.f64 f n) f)))
(.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 (.f64 n f) (.f64 n f)))) (-.f64 (.f64 f f) (*.f64 n f)))
(.f64 (/.f64 (fma.f64 n n (neg.f64 (.f64 f f))) (-.f64 (pow.f64 f 4) (.f64 (.f64 n n) (.f64 f f)))) (.f64 f (-.f64 f n)))
(.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 (pow.f64 f 4) (.f64 (.f64 n n) (.f64 f f)))) (*.f64 f (-.f64 f n)))
(.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n f) 3))) (+.f64 (.f64 (.f64 f f) (.f64 f f)) (-.f64 (.f64 (.f64 n f) (.f64 n f)) (.f64 (.f64 f f) (.f64 n f)))))
(.f64 (/.f64 (fma.f64 n n (neg.f64 (.f64 f f))) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n f) 3))) (+.f64 (pow.f64 f 4) (.f64 (.f64 n f) (*.f64 f (-.f64 n f)))))
(.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (.f64 n f) 3))) (+.f64 (pow.f64 f 4) (.f64 (.f64 n f) (.f64 f (-.f64 n f)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 n n) (.f64 f f)) (pow.f64 f -1)) (-.f64 (.f64 n n) (.f64 f f))) (-.f64 n f))
(.f64 (-.f64 n f) (/.f64 (.f64 (fma.f64 n n (neg.f64 (.f64 f f))) (/.f64 1 f)) (fma.f64 n n (neg.f64 (.f64 f f)))))
(/.f64 (.f64 (+.f64 n f) (/.f64 (-.f64 n f) f)) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (-.f64 n f)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 n n) (.f64 f f)) (pow.f64 f -1)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (-.f64 (.f64 f f) (*.f64 n f))))
(.f64 (/.f64 (fma.f64 n n (neg.f64 (.f64 f f))) (/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 f))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(.f64 (/.f64 (.f64 (+.f64 n f) (/.f64 (-.f64 n f) f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (pow.f64 f -1)) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f (+.f64 n f)) (.f64 f (+.f64 n f))))) (-.f64 (.f64 n n) (.f64 f (+.f64 n f))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 f)) (-.f64 (pow.f64 n 4) (.f64 f (.f64 (+.f64 n f) (.f64 f (+.f64 n f)))))) (-.f64 (.f64 n n) (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) f) (-.f64 (pow.f64 n 4) (.f64 f (.f64 f (.f64 (+.f64 n f) (+.f64 n f)))))) (fma.f64 n n (*.f64 f (-.f64 (neg.f64 f) n))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (pow.f64 f -1)) (+.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f (+.f64 n f)) 3))) (+.f64 (.f64 (.f64 n n) (.f64 n n)) (-.f64 (.f64 (.f64 f (+.f64 n f)) (.f64 f (+.f64 n f))) (.f64 (.f64 n n) (*.f64 f (+.f64 n f))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 f)) (+.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f (+.f64 n f)) 3))) (+.f64 (pow.f64 n 4) (.f64 (.f64 f (+.f64 n f)) (-.f64 (.f64 f (+.f64 n f)) (.f64 n n)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) f) (+.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f (+.f64 n f)) 3))) (+.f64 (pow.f64 n 4) (.f64 (.f64 f (+.f64 n f)) (-.f64 (.f64 f (+.f64 n f)) (*.f64 n n)))))
(pow.f64 (+.f64 (/.f64 n f) -1) 1)
(+.f64 -1 (/.f64 n f))
(pow.f64 (/.f64 f (-.f64 n f)) -1)
(/.f64 (-.f64 n f) f)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) 2)
(+.f64 -1 (/.f64 n f))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 3)
(+.f64 -1 (/.f64 n f))
(pow.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 3) 1/3)
(+.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 (-.f64 n f) (neg.f64 f)))
(/.f64 (-.f64 n f) f)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 n f)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n f) -1))))
(+.f64 -1 (/.f64 n f))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 n f) -1) 3))
(+.f64 -1 (/.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(exp.f64 (log.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n f) -1)) 1))
(+.f64 -1 (/.f64 n f))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 n f) -1)))
(+.f64 -1 (/.f64 n f))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
✓	0.3b	(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))

Compiler

Compiled 35 to 7 computations (80% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))
1.0ms	n	@	inf	(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))
1.0ms	n	@	-inf	(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))
1.0ms	n	@	0	(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))
1.0ms	f	@	0	(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`associate-/r/`
964×	`associate-/l/`
810×	`distribute-rgt-in`
772×	`distribute-lft-in`
240×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	62
1	226	42
2	3403	42

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

Inputs
(/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))
(/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 f) 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 (neg.f64 f) 1 f) (pow.f64 (+.f64 n f) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f) (pow.f64 (+.f64 n f) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f) (pow.f64 (+.f64 n f) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 1 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (*.f64 (neg.f64 f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (neg.f64 f) (pow.f64 (+.f64 n f) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (*.f64 (neg.f64 f) 1) (pow.f64 (+.f64 n f) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))) (/.f64 n (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 n f) -1/2) (neg.f64 f)) (/.f64 n (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) 1) (*.f64 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 f) (pow.f64 (+.f64 n f) -1/2)) (/.f64 n (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (/.f64 f (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 n f)) (*.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

906×	`associate-/l*`
830×	`*-commutative`
768×	`associate-r`
742×	`times-frac`
692×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	588	9736
1	1891	8936

Stop Event

1×	node limit

Counts

198 → 318

Calls

Call 1

Inputs
(*.f64 -1 (sqrt.f64 f))
(+.f64 (.f64 -1 (sqrt.f64 f)) (.f64 n (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 f))) (sqrt.f64 (/.f64 1 f)))))
(+.f64 (.f64 -1 (sqrt.f64 f)) (+.f64 (.f64 n (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 f))) (sqrt.f64 (/.f64 1 f)))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))))
(+.f64 (.f64 -1 (sqrt.f64 f)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 f) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 f 3)) (+.f64 (/.f64 1 (pow.f64 f 4)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)) f)))))) (pow.f64 n 3)) (+.f64 (.f64 n (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 f))) (sqrt.f64 (/.f64 1 f)))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))))))
(sqrt.f64 n)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 n))) (*.f64 -1 (sqrt.f64 (/.f64 1 n)))) f) (sqrt.f64 n))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 n))) (.f64 -1 (sqrt.f64 (/.f64 1 n)))) f) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 n 3)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (pow.f64 f 2)) (sqrt.f64 n)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 n))) (.f64 -1 (sqrt.f64 (/.f64 1 n)))) f) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 n 3)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (pow.f64 f 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 n 3)) (+.f64 (/.f64 1 (pow.f64 n 4)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)) n))))) (.f64 -1/2 (.f64 (sqrt.f64 n) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2))))) (pow.f64 f 3)) (sqrt.f64 n))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 f) 1 f)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 (neg.f64 f) 1 f) (pow.f64 (+.f64 n f) -1/2)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f) (pow.f64 (+.f64 n f) -1/2)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f) (pow.f64 (+.f64 n f) -1/2)))
(+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))))
(+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 1 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f))))))
(+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (neg.f64 f)))
(+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (.f64 (pow.f64 (+.f64 n f) -1/2) (.f64 (neg.f64 f) 1)))
(+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (neg.f64 f) (pow.f64 (+.f64 n f) -1/2)))
(+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (.f64 (.f64 (neg.f64 f) 1) (pow.f64 (+.f64 n f) -1/2)))
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(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) -1) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (neg.f64 (neg.f64 (-.f64 n f)))) (neg.f64 (sqrt.f64 (+.f64 n f))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) 1) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (-.f64 n f))) (pow.f64 (+.f64 n f) 1/4))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (neg.f64 (-.f64 n f)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 n f)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 n f)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 n f)))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 n f)))) (cbrt.f64 (neg.f64 (-.f64 n f)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 n f)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (neg.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3/2) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))

Outputs
(*.f64 -1 (sqrt.f64 f))
(neg.f64 (sqrt.f64 f))
(+.f64 (.f64 -1 (sqrt.f64 f)) (.f64 n (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 f))) (sqrt.f64 (/.f64 1 f)))))
(fma.f64 -1 (sqrt.f64 f) (.f64 n (.f64 3/2 (sqrt.f64 (/.f64 1 f)))))
(fma.f64 n (*.f64 (sqrt.f64 (/.f64 1 f)) 3/2) (neg.f64 (sqrt.f64 f)))
(+.f64 (.f64 -1 (sqrt.f64 f)) (+.f64 (.f64 n (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 f))) (sqrt.f64 (/.f64 1 f)))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))))
(fma.f64 -1 (sqrt.f64 f) (fma.f64 n (.f64 3/2 (sqrt.f64 (/.f64 1 f))) (.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (.f64 n n))))
(-.f64 (fma.f64 (.f64 -1/2 (fma.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (.f64 n n) (.f64 n (*.f64 (sqrt.f64 (/.f64 1 f)) 3/2))) (sqrt.f64 f))
(+.f64 (.f64 -1 (sqrt.f64 f)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 f) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 f 3)) (+.f64 (/.f64 1 (pow.f64 f 4)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)) f)))))) (pow.f64 n 3)) (+.f64 (.f64 n (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 f))) (sqrt.f64 (/.f64 1 f)))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))))))
(fma.f64 -1 (sqrt.f64 f) (fma.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 f) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2))) (.f64 (sqrt.f64 (pow.f64 f 3)) (+.f64 (/.f64 1 (pow.f64 f 4)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)) f)))))) (pow.f64 n 3) (fma.f64 n (.f64 3/2 (sqrt.f64 (/.f64 1 f))) (.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (.f64 n n)))))
(-.f64 (fma.f64 (.f64 1/2 (fma.f64 (sqrt.f64 f) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)) (.f64 (sqrt.f64 (pow.f64 f 3)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 f 4)) (/.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2) f)) (/.f64 1 (pow.f64 f 4)))))) (pow.f64 n 3) (fma.f64 (.f64 -1/2 (fma.f64 (sqrt.f64 (pow.f64 f 3)) (-.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 f 3))))) (.f64 n n) (.f64 n (*.f64 (sqrt.f64 (/.f64 1 f)) 3/2)))) (sqrt.f64 f))
(sqrt.f64 n)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 n))) (*.f64 -1 (sqrt.f64 (/.f64 1 n)))) f) (sqrt.f64 n))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 n)) -3/2) f (sqrt.f64 n))
(fma.f64 f (*.f64 (sqrt.f64 (/.f64 1 n)) -3/2) (sqrt.f64 n))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 n))) (.f64 -1 (sqrt.f64 (/.f64 1 n)))) f) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 n 3)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (pow.f64 f 2)) (sqrt.f64 n)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 n)) -3/2) f (fma.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (pow.f64 n 3)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (*.f64 f f) (sqrt.f64 n)))
(fma.f64 f (.f64 (sqrt.f64 (/.f64 1 n)) -3/2) (fma.f64 (.f64 1/2 (fma.f64 (fabs.f64 (pow.f64 n 3/2)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (.f64 f f) (sqrt.f64 n)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 n))) (.f64 -1 (sqrt.f64 (/.f64 1 n)))) f) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 n 3)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (pow.f64 f 2)) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (pow.f64 n 3)) (+.f64 (/.f64 1 (pow.f64 n 4)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)) n))))) (.f64 -1/2 (.f64 (sqrt.f64 n) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2))))) (pow.f64 f 3)) (sqrt.f64 n))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 n)) -3/2) f (fma.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (pow.f64 n 3)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (.f64 f f) (fma.f64 (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (pow.f64 n 3)) (+.f64 (/.f64 1 (pow.f64 n 4)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)) n)))) (.f64 (sqrt.f64 n) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2))))) (pow.f64 f 3) (sqrt.f64 n))))
(fma.f64 f (.f64 (sqrt.f64 (/.f64 1 n)) -3/2) (fma.f64 (.f64 1/2 (fma.f64 (fabs.f64 (pow.f64 n 3/2)) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2)) (sqrt.f64 (/.f64 1 (pow.f64 n 3))))) (.f64 f f) (fma.f64 (pow.f64 f 3) (.f64 -1/2 (fma.f64 (fabs.f64 (pow.f64 n 3/2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 n 4)) (/.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2) n)) (/.f64 1 (pow.f64 n 4))) (.f64 (sqrt.f64 n) (-.f64 (/.f64 1 (pow.f64 n 3)) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) 2))))) (sqrt.f64 n))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f)) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 -2 (/.f64 n f))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (.f64 (-.f64 (neg.f64 n) n) (.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f)) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 f) 1 f)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) (*.f64 (pow.f64 (+.f64 f n) -1/2) (+.f64 (neg.f64 f) f)))
(fma.f64 (pow.f64 (+.f64 f n) -1/2) (*.f64 0 f) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (*.f64 (pow.f64 (+.f64 n f) -1/2) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(+.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) (*.f64 (pow.f64 (+.f64 f n) -1/2) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(fma.f64 (pow.f64 (+.f64 f n) -1/2) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
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(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(/.f64 (.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (.f64 n n) (*.f64 f f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (+.f64 f n) (+.f64 f n)))
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) 1)) (+.f64 n f))
(/.f64 (.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (.f64 n n) (*.f64 f f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (+.f64 f n) (+.f64 f n)))
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (+.f64 f n) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)))
(.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(/.f64 (.f64 (+.f64 f n) (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (/.f64 (+.f64 f n) (.f64 (+.f64 f n) (-.f64 f n))) (-.f64 (neg.f64 n) f))
(.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 f 3) (neg.f64 (pow.f64 n 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 f n)))))
(.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(/.f64 (.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (.f64 n n) (*.f64 f f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (+.f64 f n) (+.f64 f n)))
(.f64 (/.f64 (+.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (+.f64 (.f64 n n) (-.f64 (.f64 (neg.f64 f) (neg.f64 f)) (.f64 n (neg.f64 f)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 n n (*.f64 f (+.f64 f n)))))
(.f64 (+.f64 f n) (/.f64 (fma.f64 n n (.f64 f (+.f64 f n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (pow.f64 (+.f64 n f) -1/2))) (+.f64 n f))
(/.f64 (.f64 (sqrt.f64 (+.f64 f n)) (+.f64 f n)) (.f64 (pow.f64 (+.f64 f n) -1/2) (-.f64 (.f64 n n) (.f64 f f))))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 f n)) 3) (-.f64 (.f64 n n) (.f64 f f))) (pow.f64 (+.f64 f n) -1/2))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (pow.f64 (+.f64 n f) -1/2))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 n n (.f64 f (+.f64 f n)))) (*.f64 (pow.f64 (+.f64 f n) -1/2) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 (fma.f64 n n (.f64 f (+.f64 f n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (+.f64 f n) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (pow.f64 (+.f64 n f) 1/4))) (pow.f64 (+.f64 n f) 1/4))
(*.f64 (pow.f64 (+.f64 f n) 1/4) (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (pow.f64 (+.f64 f n) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) 1/2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f)))) (cbrt.f64 (sqrt.f64 (+.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 (.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f)))) (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 f (sqrt.f64 (+.f64 n f)))))) (+.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (/.f64 f (sqrt.f64 (+.f64 n f)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (.f64 (+.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 f (sqrt.f64 (+.f64 f n)))) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))) (+.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 f (sqrt.f64 (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (+.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 f (sqrt.f64 (+.f64 f n))))) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n)))) (+.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 f (sqrt.f64 (+.f64 f n)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 (pow.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) 3) (pow.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) 3))) (+.f64 (.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f)))) (+.f64 (.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 f (sqrt.f64 (+.f64 n f)))) (.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (/.f64 f (sqrt.f64 (+.f64 n f)))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) 3) (pow.f64 (/.f64 f (sqrt.f64 (+.f64 f n))) 3))) (fma.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 n (sqrt.f64 (+.f64 f n))) (.f64 (/.f64 f (sqrt.f64 (+.f64 f n))) (+.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 f (sqrt.f64 (+.f64 f n)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 (/.f64 f (sqrt.f64 (+.f64 f n))) (+.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) (/.f64 f (sqrt.f64 (+.f64 f n)))) (/.f64 (/.f64 n (/.f64 (sqrt.f64 (+.f64 f n)) n)) (sqrt.f64 (+.f64 f n))))) (-.f64 (pow.f64 (/.f64 n (sqrt.f64 (+.f64 f n))) 3) (pow.f64 (/.f64 f (sqrt.f64 (+.f64 f n))) 3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 (.f64 n (sqrt.f64 (+.f64 n f))) (*.f64 (sqrt.f64 (+.f64 n f)) f))) (+.f64 n f))
(.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 n (sqrt.f64 (+.f64 f n)) (neg.f64 (.f64 f (sqrt.f64 (+.f64 f n)))))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 f n)) 3) (*.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) 1)) (pow.f64 (+.f64 n f) 3/2))
(/.f64 (.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (+.f64 f n) 3/2)) (-.f64 (.f64 n n) (*.f64 f f)))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) 1)) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (sqrt.f64 (+.f64 n f))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 (sqrt.f64 (+.f64 f n)) (fma.f64 n n (*.f64 f (+.f64 f n)))))
(.f64 (+.f64 f n) (/.f64 (fma.f64 n n (.f64 f (+.f64 f n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (.f64 (pow.f64 (+.f64 n f) 1/4) (sqrt.f64 (+.f64 n f))))) (pow.f64 (+.f64 n f) 1/4))
(*.f64 (pow.f64 (+.f64 f n) 1/4) (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (pow.f64 (+.f64 f n) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) 1/2))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (+.f64 n f))))) (cbrt.f64 (sqrt.f64 (+.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f)))) (cbrt.f64 (sqrt.f64 (+.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (/.f64 1 (pow.f64 (+.f64 n f) 1/4))) (pow.f64 (+.f64 n f) 1/4))
(*.f64 (pow.f64 (+.f64 f n) 1/4) (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (pow.f64 (+.f64 f n) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) 1/2))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (/.f64 1 (cbrt.f64 (+.f64 n f)))) (cbrt.f64 (sqrt.f64 (+.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) -1) (neg.f64 (sqrt.f64 (+.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) -1) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (neg.f64 (neg.f64 (-.f64 n f)))) (neg.f64 (sqrt.f64 (+.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) 1) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (-.f64 n f))) (pow.f64 (+.f64 n f) 1/4))
(*.f64 (pow.f64 (+.f64 f n) 1/4) (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))))
(.f64 (pow.f64 (+.f64 f n) 1/4) (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (neg.f64 (-.f64 n f)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 n f)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (neg.f64 (-.f64 n f))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 f n)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (-.f64 f n)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 n f)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 f n)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 n f)))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (+.f64 n f))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 f n))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 f n)))) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (sqrt.f64 (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 n f)))) (cbrt.f64 (neg.f64 (-.f64 n f)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 n f)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (neg.f64 (-.f64 n f))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 f n))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 f n)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 2) (+.f64 f n))) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 f n)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (-.f64 n f))))
(.f64 (cbrt.f64 (+.f64 f n)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (neg.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(fabs.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3/2) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3/2) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 n f))
✓	0.0b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1) (*.f64 (/.f64 1 (-.f64 n f)) f))
	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) f)
✓	2.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)

Compiler

Compiled 64 to 20 computations (68.8% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	f	@	-inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
1.0ms	f	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
1.0ms	n	@	0	(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
1.0ms	n	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
1.0ms	n	@	-inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`associate-/l*`
1248×	`associate-/r/`
524×	`associate-/l/`
386×	`associate-+l+`
334×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	312	38
2	4309	38

Stop Event

1×	node limit

Counts

2 → 240

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1) (*.f64 (/.f64 1 (-.f64 n f)) f))

Outputs

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simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-r`
1048×	`*-commutative`
966×	`+-commutative`
922×	`associate-l`
772×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	876	18770
1	2971	18232

Stop Event

1×	node limit

Counts

288 → 486

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
1
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(.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (.f64 (-.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))) (+.f64 n f))
(.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (.f64 (.f64 (+.f64 n f) (-.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (+.f64 n f) (-.f64 n f)))) (.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (+.f64 n f)))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (.f64 (+.f64 n f) (-.f64 n f)) (.f64 (+.f64 n f) (-.f64 n f)))) (*.f64 (+.f64 n f) (+.f64 n f)))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (-.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f)))) (+.f64 n f))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (-.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))) (+.f64 n f))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (.f64 (+.f64 n f) (-.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (+.f64 n f) (-.f64 n f)))) (.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (+.f64 n f)))
(/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) (/.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (/.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (/.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)))) (/.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (*.f64 (-.f64 1 (/.f64 f (-.f64 n f))) (-.f64 1 (/.f64 f (-.f64 n f))))) (-.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 f (-.f64 n f))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (*.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 3) (pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 3) (pow.f64 (-.f64 1 (/.f64 f (-.f64 n f))) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (.f64 (-.f64 1 (/.f64 f (-.f64 n f))) (-.f64 1 (/.f64 f (-.f64 n f))))) (.f64 (+.f64 1 (/.f64 n (-.f64 n f))) (-.f64 1 (/.f64 f (-.f64 n f))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 3) (pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) 3)) (.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))))
(/.f64 (+.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) f)) (pow.f64 (-.f64 n f) 2))
(/.f64 (+.f64 (-.f64 n f) (.f64 (/.f64 (-.f64 n f) n) f)) (.f64 (/.f64 (-.f64 n f) n) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) -1) (-.f64 n f)) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) f)) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 3)) (-.f64 n f)) (.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2)) f)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (neg.f64 n) (-.f64 n f)) (.f64 (neg.f64 (-.f64 n f)) f)) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (-.f64 n f) n) (.f64 f (-.f64 n f))) (pow.f64 (-.f64 n f) 2))
(/.f64 (+.f64 (-.f64 n f) (.f64 f (/.f64 (-.f64 n f) n))) (.f64 (-.f64 n f) (/.f64 (-.f64 n f) n)))
(/.f64 (+.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 (-.f64 n f) (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) -1))) (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2)))
(/.f64 (+.f64 (.f64 f (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))) (.f64 (-.f64 n f) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 3)))) (*.f64 (-.f64 n f) (+.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))))
(/.f64 (+.f64 (.f64 f (neg.f64 (-.f64 n f))) (.f64 (-.f64 n f) (neg.f64 n))) (*.f64 (-.f64 n f) (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (/.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (+.f64 1 (/.f64 n (-.f64 n f))) (neg.f64 (-.f64 1 (/.f64 f (-.f64 n f)))))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (sqrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (neg.f64 (-.f64 1 (/.f64 f (-.f64 n f)))))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) 2) (cbrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (neg.f64 (-.f64 1 (/.f64 f (-.f64 n f)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))

Outputs
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (neg.f64 n) f))
(.f64 -1 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (*.f64 f f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
1
(+.f64 1 (/.f64 f n))
(+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 f 2)) (pow.f64 f 2))) (.f64 1/8 (pow.f64 f 2))) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (fma.f64 1/2 (.f64 3/4 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (.f64 n n)))))
(+.f64 (+.f64 1 (/.f64 f n)) (.f64 2 (/.f64 (+.f64 (.f64 3/8 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (.f64 n n))))
(+.f64 1 (+.f64 (/.f64 f n) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 3 (pow.f64 f 3)) (+.f64 (.f64 -3/2 (pow.f64 f 3)) (.f64 1/4 (pow.f64 f 3))))) (+.f64 (.f64 1/48 (pow.f64 f 3)) (.f64 1/4 (.f64 f (+.f64 (.f64 -1/4 (pow.f64 f 2)) (pow.f64 f 2)))))) (pow.f64 n 3))) (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 f 2)) (pow.f64 f 2))) (*.f64 1/8 (pow.f64 f 2))) (pow.f64 n 2))))))
(+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (+.f64 (/.f64 (fma.f64 1/6 (fma.f64 3 (pow.f64 f 3) (.f64 (pow.f64 f 3) -5/4)) (fma.f64 1/48 (pow.f64 f 3) (.f64 1/4 (.f64 f (.f64 3/4 (.f64 f f)))))) (pow.f64 n 3)) (/.f64 (fma.f64 1/2 (.f64 3/4 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (*.f64 n n))))))
(+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (+.f64 (/.f64 (+.f64 (.f64 3/8 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (.f64 n n)) (/.f64 (fma.f64 1/6 (fma.f64 3 (pow.f64 f 3) (.f64 (pow.f64 f 3) -5/4)) (fma.f64 1/48 (pow.f64 f 3) (.f64 1/4 (*.f64 3/4 (pow.f64 f 3))))) (pow.f64 n 3))))))
1
(+.f64 1 (/.f64 f n))
(+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 f 2)) (pow.f64 f 2))) (.f64 1/8 (pow.f64 f 2))) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (fma.f64 1/2 (.f64 3/4 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (.f64 n n)))))
(+.f64 (+.f64 1 (/.f64 f n)) (.f64 2 (/.f64 (+.f64 (.f64 3/8 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (.f64 n n))))
(+.f64 1 (+.f64 (/.f64 f n) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/48 (pow.f64 f 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/4 (pow.f64 f 3)) (+.f64 (.f64 3/2 (pow.f64 f 3)) (.f64 -3 (pow.f64 f 3))))) (.f64 -1/4 (.f64 f (+.f64 (.f64 -1/4 (pow.f64 f 2)) (pow.f64 f 2)))))) (pow.f64 n 3))) (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 f 2)) (pow.f64 f 2))) (*.f64 1/8 (pow.f64 f 2))) (pow.f64 n 2))))))
(+.f64 1 (+.f64 (/.f64 f n) (fma.f64 -2 (/.f64 (fma.f64 -1/48 (pow.f64 f 3) (fma.f64 1/6 (fma.f64 -1/4 (pow.f64 f 3) (.f64 (pow.f64 f 3) -3/2)) (.f64 -1/4 (.f64 f (.f64 3/4 (.f64 f f)))))) (pow.f64 n 3)) (.f64 2 (/.f64 (fma.f64 1/2 (.f64 3/4 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (*.f64 n n))))))
(+.f64 (+.f64 1 (/.f64 f n)) (fma.f64 -2 (/.f64 (fma.f64 -1/48 (pow.f64 f 3) (fma.f64 1/6 (fma.f64 -1/4 (pow.f64 f 3) (.f64 (pow.f64 f 3) -3/2)) (.f64 -1/4 (.f64 3/4 (pow.f64 f 3))))) (pow.f64 n 3)) (.f64 2 (/.f64 (+.f64 (.f64 3/8 (.f64 f f)) (.f64 (.f64 f f) 1/8)) (*.f64 n n)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (.f64 f f) (.f64 n n))))
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(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3) 1/3)
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 1))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 1 (+.f64 1 (/.f64 n (-.f64 n f))) (neg.f64 (-.f64 1 (/.f64 f (-.f64 n f)))))
(fma.f64 1 (+.f64 1 (/.f64 n (-.f64 n f))) (+.f64 -1 (/.f64 f (-.f64 n f))))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (sqrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (neg.f64 (-.f64 1 (/.f64 f (-.f64 n f)))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (sqrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (+.f64 -1 (/.f64 f (-.f64 n f))))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (*.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) 2) (cbrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (neg.f64 (-.f64 1 (/.f64 f (-.f64 n f)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) 2) (cbrt.f64 (+.f64 1 (/.f64 n (-.f64 n f)))) (+.f64 -1 (/.f64 f (-.f64 n f))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f)))))

eval889.0ms (8.6%)

Compiler: Compiled 64705 to 24743 computations (61.8% saved)

prune978.0ms (9.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	2383	3	2386
Fresh	0	2	2
Picked	1	0	1
Done	2	4	6
Total	2386	9	2395

Error

Counts

2395 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
✓	30.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
▶	0.1b	(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))
	33.7b	1
	30.5b	-1

Compiler

Compiled 119 to 71 computations (40.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 n f))
✓	0.0b	(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))
	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) f)
✓	2.9b	(+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)

Compiler

Compiled 60 to 26 computations (56.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)
0.0ms	f	@	inf	(+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)
0.0ms	n	@	-inf	(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	f	@	-inf	(+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)
0.0ms	n	@	inf	(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))

rewrite150.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`associate-/r*`
706×	`associate-+l+`
366×	`+-commutative`
342×	`add-sqr-sqrt`
328×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	329	44
2	4891	44

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)
(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 (/.f64 n (-.f64 n f))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 (/.f64 n (-.f64 n f)) -2)) (-.f64 (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) -2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (+.f64 (/.f64 n (-.f64 n f)) 4)) (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (+.f64 (/.f64 n (-.f64 n f)) 4)) (-.f64 (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 n (-.f64 n f)) 4) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 n) (/.f64 (-.f64 n f) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (-.f64 n f) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4) (+.f64 (/.f64 n (-.f64 n f)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 n) (+.f64 (neg.f64 n) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 n f) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n -1) (+.f64 (neg.f64 n) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (cbrt.f64 (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 1 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 1 (fma.f64 n n (*.f64 f (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 0) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2)) (-.f64 -4 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 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simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-+l-`
1088×	`associate-+r-`
576×	`associate-/l/`
506×	`fma-def`
444×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	11084
1	1564	10290
2	6932	10270

Stop Event

1×	node limit

Counts

244 → 328

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (/.f64 n (-.f64 n f)) 0)
(-.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 3 (/.f64 n (-.f64 n f))))) 3)
(-.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 (/.f64 n (-.f64 n f)) -2)) (-.f64 (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) -2)) -2))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (+.f64 (/.f64 n (-.f64 n f)) 4)) (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) 4)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (+.f64 (/.f64 n (-.f64 n f)) 4)) (-.f64 (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) 4)) 0))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (+.f64 (/.f64 n (-.f64 n f)) 4)) (+.f64 (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) 4)) 0))
(-.f64 (+.f64 -2 (exp.f64 (log.f64 (+.f64 3 (/.f64 n (-.f64 n f)))))) 1)
(-.f64 (+.f64 -2 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 (/.f64 n (-.f64 n f)) -2))) (/.f64 4 (+.f64 (/.f64 n (-.f64 n f)) -2)))
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(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (*.f64 (+.f64 -2 (/.f64 f (-.f64 n f))) (+.f64 -2 (/.f64 f (-.f64 n f))))) (-.f64 (+.f64 (/.f64 n (-.f64 n f)) 4) (/.f64 f (-.f64 n f))))
(/.f64 (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3) (pow.f64 (+.f64 -2 (/.f64 f (-.f64 n f))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (-.f64 (.f64 (+.f64 -2 (/.f64 f (-.f64 n f))) (+.f64 -2 (/.f64 f (-.f64 n f)))) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 -2 (/.f64 f (-.f64 n f)))))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4) (-.f64 n f)) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 4) f)) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 4) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)) (-.f64 n f)) (.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) f)) (.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) (-.f64 n f)))
(/.f64 (+.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 4)) (.f64 (-.f64 n f) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4))) (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 4)))
(/.f64 (+.f64 (.f64 f (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)))) (.f64 (-.f64 n f) (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) 1) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (sqrt.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))) (sqrt.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) (cbrt.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (cbrt.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (+.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))) (-.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) 1) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4) (-.f64 n f)) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 4) f)) (+.f64 (/.f64 n (-.f64 n f)) 4)) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)) (-.f64 n f)) (.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) f)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 4)) (.f64 (-.f64 n f) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4))) (-.f64 n f)) (+.f64 (/.f64 n (-.f64 n f)) 4))
(/.f64 (/.f64 (+.f64 (.f64 f (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)))) (-.f64 n f)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))))
(pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(exp.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 -2 (/.f64 f (-.f64 n f))))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 -2 (/.f64 f (-.f64 n f))))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) 2) (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 -2 (/.f64 f (-.f64 n f))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))

Outputs
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 n (neg.f64 f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(.f64 -1 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))
(-.f64 (/.f64 n (neg.f64 f)) (*.f64 (/.f64 n f) (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f n) (/.f64 f n))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f n) (/.f64 f n))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 f f) (.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 n (neg.f64 f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(.f64 -1 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))
(-.f64 (/.f64 n (neg.f64 f)) (*.f64 (/.f64 n f) (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 n (neg.f64 f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(.f64 -1 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))
(-.f64 (/.f64 n (neg.f64 f)) (*.f64 (/.f64 n f) (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) -2 (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 1 (/.f64 (*.f64 f -2) n))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))) (/.f64 (neg.f64 f) n)))
(+.f64 (+.f64 1 (/.f64 f n)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) 1)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 1 (/.f64 (*.f64 f -2) n))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 f f) (.f64 n n)) 1) (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (.f64 (/.f64 f n) (/.f64 f n)) (-.f64 1 (/.f64 (*.f64 f -2) n))))
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(/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (+.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))) (-.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (*.f64 (-.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f)))) (+.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f)))) (-.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) 1) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (fma.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) (pow.f64 (/.f64 n (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (fma.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) (pow.f64 (/.f64 n (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (fma.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) (pow.f64 (/.f64 n (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4) (-.f64 n f)) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 4) f)) (+.f64 (/.f64 n (-.f64 n f)) 4)) (-.f64 n f))
(/.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 2) -4) (-.f64 n f) (.f64 f (+.f64 4 (/.f64 n (-.f64 n f))))) (.f64 (-.f64 n f) (+.f64 4 (/.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 f (-.f64 4 (/.f64 n (-.f64 f n))) (.f64 (-.f64 n f) (+.f64 (pow.f64 (-.f64 2 (/.f64 n (-.f64 f n))) 2) -4))) (.f64 (-.f64 n f) (-.f64 4 (/.f64 n (-.f64 f n)))))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)) (-.f64 n f)) (.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) f)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))) (-.f64 n f))
(/.f64 (fma.f64 f (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 2)) (.f64 -2 (+.f64 2 (/.f64 n (-.f64 n f))))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 3)))) (.f64 (-.f64 n f) (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 2)) (.f64 -2 (+.f64 2 (/.f64 n (-.f64 n f)))))))
(/.f64 (fma.f64 f (+.f64 4 (.f64 (-.f64 2 (/.f64 n (-.f64 f n))) (-.f64 4 (/.f64 n (-.f64 f n))))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (-.f64 2 (/.f64 n (-.f64 f n))) 3)))) (.f64 (-.f64 n f) (+.f64 4 (.f64 (-.f64 2 (/.f64 n (-.f64 f n))) (-.f64 4 (/.f64 n (-.f64 f n)))))))
(/.f64 (/.f64 (+.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 4)) (.f64 (-.f64 n f) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) -4))) (-.f64 n f)) (+.f64 (/.f64 n (-.f64 n f)) 4))
(/.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 2) -4) (-.f64 n f) (.f64 f (+.f64 4 (/.f64 n (-.f64 n f))))) (.f64 (-.f64 n f) (+.f64 4 (/.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 f (-.f64 4 (/.f64 n (-.f64 f n))) (.f64 (-.f64 n f) (+.f64 (pow.f64 (-.f64 2 (/.f64 n (-.f64 f n))) 2) -4))) (.f64 (-.f64 n f) (-.f64 4 (/.f64 n (-.f64 f n)))))
(/.f64 (/.f64 (+.f64 (.f64 f (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 3)))) (-.f64 n f)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) 2) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))))
(/.f64 (fma.f64 f (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 2)) (.f64 -2 (+.f64 2 (/.f64 n (-.f64 n f))))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 3)))) (.f64 (-.f64 n f) (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) 2)) (.f64 -2 (+.f64 2 (/.f64 n (-.f64 n f)))))))
(/.f64 (fma.f64 f (+.f64 4 (.f64 (-.f64 2 (/.f64 n (-.f64 f n))) (-.f64 4 (/.f64 n (-.f64 f n))))) (.f64 (-.f64 n f) (+.f64 -8 (pow.f64 (-.f64 2 (/.f64 n (-.f64 f n))) 3)))) (.f64 (-.f64 n f) (+.f64 4 (.f64 (-.f64 2 (/.f64 n (-.f64 f n))) (-.f64 4 (/.f64 n (-.f64 f n)))))))
(pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 1)
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 2)
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 3)
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(pow.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 3) 1/3)
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 2))
(fabs.f64 (*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f)))
(log.f64 (exp.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 3))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(exp.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 1))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 -2 (/.f64 f (-.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 -2 (/.f64 f (-.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) 2) (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 -2 (/.f64 f (-.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 n f))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 n (-.f64 n f))
	0.0b	(/.f64 (-.f64 n f) f)
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
	0.7b	(/.f64 1 (/.f64 (-.f64 n f) f))

Compiler

Compiled 38 to 11 computations (71.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
0.0ms	n	@	-inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
0.0ms	n	@	inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
0.0ms	f	@	-inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
0.0ms	f	@	inf	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-/r/`
1022×	`distribute-rgt-in`
986×	`distribute-lft-in`
772×	`associate-/l/`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	238	31
2	3834	31

Stop Event

1×	node limit

Counts

1 → 106

Calls

Call 1

Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) (-.f64 1 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (-.f64 1 (/.f64 f (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) (/.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 n (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 f (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))))))

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1304×	`+-commutative`
1000×	`associate-+l+`
966×	`associate-+r+`
654×	`associate-r`
634×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	9104
1	1591	8614
2	6875	8606

Stop Event

1×	node limit

Counts

130 → 245

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) (-.f64 1 (/.f64 n (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (-.f64 1 (/.f64 f (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) (/.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(-.f64 (+.f64 (/.f64 n (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f))))) 1)
(-.f64 (+.f64 (/.f64 f (-.f64 n f)) (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f))))) 1)
(*.f64 1 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(*.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 2) (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(*.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (/.f64 1 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(*.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (/.f64 1 (/.f64 (pow.f64 (-.f64 n f) 2) f)))
(*.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 n f) 2) f)) (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) 1)) (*.f64 (+.f64 n f) (/.f64 f (-.f64 n f))))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) 1)) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2))) (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (+.f64 (-.f64 (/.f64 n (/.f64 f (-.f64 n f))) n) f)) (/.f64 (pow.f64 (-.f64 n f) 2) f))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3))) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (/.f64 n (/.f64 (pow.f64 (-.f64 n f) 2) f)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (.f64 n (/.f64 (+.f64 f (neg.f64 n)) f)) (.f64 (-.f64 n f) -1))) (.f64 (-.f64 n f) (/.f64 (+.f64 f (neg.f64 n)) f)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (/.f64 n f) (+.f64 1 (.f64 (/.f64 (-.f64 n f) n) 1)))) (*.f64 (/.f64 (-.f64 n f) n) (+.f64 (/.f64 n f) -1)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (/.f64 (+.f64 f (neg.f64 n)) f) (.f64 (/.f64 (-.f64 n f) n) -1))) (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (+.f64 f (neg.f64 n)) f)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (.f64 (neg.f64 n) (+.f64 (/.f64 n f) -1)) (.f64 (+.f64 f (neg.f64 n)) 1))) (.f64 (+.f64 f (neg.f64 n)) (+.f64 (/.f64 n f) -1)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (.f64 (neg.f64 n) (/.f64 (+.f64 f (neg.f64 n)) f)) (.f64 (+.f64 f (neg.f64 n)) -1))) (.f64 (+.f64 f (neg.f64 n)) (/.f64 (+.f64 f (neg.f64 n)) f)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3)) (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3)) (+.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 3) (pow.f64 (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (.f64 (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))))
(*.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (pow.f64 (-.f64 n f) 2)) f)
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 n f) (+.f64 f (neg.f64 n)))) (neg.f64 f))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (/.f64 n f) -1))) (+.f64 n f))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) -1))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 n f))) (*.f64 (+.f64 n f) f))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 n f))) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) f))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 f (neg.f64 n)))) (*.f64 (+.f64 n f) (neg.f64 f)))
(.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 f (neg.f64 n)))) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (neg.f64 f)))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (-.f64 n f)) f)
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) 1) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (sqrt.f64 (+.f64 (/.f64 n f) -1))) (sqrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (sqrt.f64 (-.f64 n f))) (/.f64 f (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2)) (cbrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 f (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (-.f64 (.f64 n n) (.f64 f f))) (.f64 f (+.f64 n f)))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 f (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) -1) (neg.f64 (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (/.f64 (+.f64 f (neg.f64 n)) f)) -1)
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (+.f64 f (neg.f64 n))) (neg.f64 f))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (/.f64 1 f))) (+.f64 n f))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 (.f64 n n) (.f64 f f)) 1)) (*.f64 (+.f64 n f) f))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) 1)) (.f64 (fma.f64 n n (.f64 f (+.f64 n f))) f))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (/.f64 (-.f64 n f) (sqrt.f64 f))) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(*.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (neg.f64 (+.f64 f (neg.f64 n)))) (neg.f64 (neg.f64 f)))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (-.f64 (.f64 (/.f64 n f) (/.f64 n f)) 1)) (+.f64 1 (/.f64 n f)))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (-.f64 (pow.f64 (/.f64 n f) 3) 1)) (+.f64 (.f64 (/.f64 n f) (/.f64 n f)) (+.f64 1 (*.f64 (/.f64 n f) 1))))
(.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (-.f64 (.f64 n f) (.f64 f f))) (.f64 f f))
(/.f64 1 (/.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3))))
(/.f64 1 (/.f64 (pow.f64 (-.f64 n f) 2) (*.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) f)))
(/.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3)) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (/.f64 (pow.f64 (-.f64 n f) 2) f))
(/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (-.f64 n f)) (+.f64 (/.f64 n f) -1))
(/.f64 (-.f64 (.f64 (/.f64 n (/.f64 f (-.f64 n f))) (/.f64 n (/.f64 f (-.f64 n f)))) (pow.f64 (-.f64 n f) 2)) (.f64 (/.f64 (pow.f64 (-.f64 n f) 2) f) (+.f64 (-.f64 (/.f64 n (/.f64 f (-.f64 n f))) n) f)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -3) (pow.f64 (+.f64 (/.f64 n f) -1) -3))) (.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (pow.f64 (+.f64 (/.f64 n f) -1) -2))) (*.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) (+.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (pow.f64 (/.f64 n (-.f64 n f)) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (/.f64 n (/.f64 f (-.f64 n f))) 3)) (.f64 (/.f64 (pow.f64 (-.f64 n f) 2) f) (+.f64 (.f64 (/.f64 n (/.f64 f (-.f64 n f))) (/.f64 n (/.f64 f (-.f64 n f)))) (-.f64 (pow.f64 (-.f64 n f) 2) (*.f64 (/.f64 n (/.f64 f (-.f64 n f))) (-.f64 n f))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -3) (pow.f64 (+.f64 (/.f64 n f) -1) -3)) (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) 3)) (.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) (+.f64 (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 n f) -1) -2) (pow.f64 (+.f64 (/.f64 n f) -1) -2)) (.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2))))))
(/.f64 (+.f64 (.f64 n (/.f64 (+.f64 f (neg.f64 n)) f)) (.f64 (-.f64 n f) -1)) (*.f64 (-.f64 n f) (/.f64 (+.f64 f (neg.f64 n)) f)))
(/.f64 (-.f64 (/.f64 n f) (-.f64 1 (.f64 (/.f64 (-.f64 n f) n) 1))) (.f64 (/.f64 (-.f64 n f) n) (+.f64 (/.f64 n f) -1)))
(/.f64 (+.f64 (/.f64 (+.f64 f (neg.f64 n)) f) (.f64 (/.f64 (-.f64 n f) n) -1)) (.f64 (/.f64 (-.f64 n f) n) (/.f64 (+.f64 f (neg.f64 n)) f)))
(/.f64 (+.f64 (.f64 (neg.f64 n) (+.f64 (/.f64 n f) -1)) (.f64 (+.f64 f (neg.f64 n)) 1)) (*.f64 (+.f64 f (neg.f64 n)) (+.f64 (/.f64 n f) -1)))
(/.f64 (+.f64 (.f64 (neg.f64 n) (/.f64 (+.f64 f (neg.f64 n)) f)) (.f64 (+.f64 f (neg.f64 n)) -1)) (*.f64 (+.f64 f (neg.f64 n)) (/.f64 (+.f64 f (neg.f64 n)) f)))
(/.f64 (+.f64 (+.f64 (/.f64 n f) -1) (/.f64 (-.f64 n f) n)) (*.f64 (+.f64 (/.f64 n f) -1) (/.f64 (-.f64 n f) n)))
(/.f64 (+.f64 (+.f64 f (neg.f64 n)) (.f64 (+.f64 (/.f64 n f) -1) (neg.f64 n))) (.f64 (+.f64 (/.f64 n f) -1) (+.f64 f (neg.f64 n))))
(/.f64 (+.f64 (+.f64 f (neg.f64 n)) (.f64 (/.f64 (+.f64 f (neg.f64 n)) f) n)) (.f64 (/.f64 (+.f64 f (neg.f64 n)) f) (-.f64 n f)))
(/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 n f) n)) (.f64 (/.f64 (+.f64 f (neg.f64 n)) f) 1)) (*.f64 (/.f64 (+.f64 f (neg.f64 n)) f) (/.f64 (-.f64 n f) n)))
(/.f64 (+.f64 (.f64 -1 (+.f64 f (neg.f64 n))) (.f64 (/.f64 (+.f64 f (neg.f64 n)) f) (neg.f64 n))) (*.f64 (/.f64 (+.f64 f (neg.f64 n)) f) (+.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n f) -1) -2))) (neg.f64 (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (+.f64 (/.f64 n f) -1) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (neg.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f))) (neg.f64 (/.f64 (pow.f64 (-.f64 n f) 2) f)))
(pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(exp.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))

Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 n f) 3) (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (pow.f64 (/.f64 n f) 3) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (neg.f64 (/.f64 f n))))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))) (neg.f64 (/.f64 f n)))
(+.f64 1 (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (/.f64 f n)))
(+.f64 1 (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))) (neg.f64 (/.f64 f n)))
(+.f64 (/.f64 f n) (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (+.f64 1 (/.f64 2 (pow.f64 (/.f64 n f) 3)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 (/.f64 n f) 3)) (+.f64 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
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(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 f f) (.f64 n n)) 1) (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n))) (neg.f64 (/.f64 (.f64 f f) (.f64 n n))))
(+.f64 (.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (.f64 (/.f64 f n) (/.f64 f n)) (fma.f64 2 (/.f64 f n) 1)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 f) f) n) (/.f64 (-.f64 (neg.f64 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3))))) (neg.f64 (/.f64 (.f64 f f) (*.f64 n n)))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 (pow.f64 f 3) -2) (pow.f64 n 3))) (+.f64 (.f64 (/.f64 f n) (/.f64 f n)) (*.f64 (/.f64 f n) (/.f64 f n))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)))
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))
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(exp.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))) 1))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))
✓	0.0b	(/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2))
✓	0.0b	(pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2)
✓	0.0b	(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))

Compiler

Compiled 116 to 44 computations (62.1% saved)

series10.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))
1.0ms	n	@	-inf	(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))
1.0ms	f	@	inf	(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))
1.0ms	f	@	-inf	(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))
0.0ms	n	@	0	(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))

rewrite157.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`distribute-lft-in`
1098×	`associate-/l/`
390×	`associate-+l+`
378×	`+-commutative`
376×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	359	142
2	5458	142

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

Inputs
(/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2))
(pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2)
(/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2))
(-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))

Outputs
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(/.f64 f (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 (neg.f64 f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (/.f64 (neg.f64 f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (/.f64 n (-.f64 n f))))) (/.f64 (neg.f64 f) (-.f64 n f)))))))

simplify202.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1312×	`+-commutative`
1094×	`associate-+r+`
976×	`associate-r`
910×	`*-commutative`
846×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	953	21783
1	3017	21477

Stop Event

1×	node limit

Counts

317 → 485

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -3/4 (/.f64 n f)))
(+.f64 1/2 (+.f64 (.f64 -3/4 (/.f64 n f)) (.f64 -5/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(+.f64 (.f64 -7/16 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 1/2 (+.f64 (.f64 -3/4 (/.f64 n f)) (*.f64 -5/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
4/3
(-.f64 (+.f64 (.f64 4/3 (/.f64 f n)) 4/3) (.f64 4/9 (/.f64 f n)))
(-.f64 (+.f64 (.f64 4/3 (/.f64 f n)) (+.f64 4/3 (.f64 1/3 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 4/9 (/.f64 f n)) (.f64 1/3 (/.f64 (.f64 f (-.f64 (.f64 4/3 f) (*.f64 4/9 f))) (pow.f64 n 2))))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 4/3 (+.f64 (.f64 4/3 (/.f64 f n)) (.f64 1/3 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2)))))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 4/3 f) (.f64 4/9 f))) (pow.f64 n 3))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 f (-.f64 (.f64 4/3 f) (.f64 4/9 f))) (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 f (-.f64 (.f64 1/3 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2))) (+.f64 (.f64 1/3 (.f64 f (-.f64 (.f64 4/3 f) (.f64 4/9 f)))) (.f64 4/9 (pow.f64 f 2))))) (pow.f64 n 3))) (.f64 4/9 (/.f64 f n))))))))
4/3
(+.f64 4/3 (.f64 -1 (/.f64 (-.f64 (.f64 -4/3 f) (*.f64 -4/9 f)) n)))
(-.f64 (+.f64 4/3 (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -4/3 f) (.f64 -4/9 f)) n)))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1/3 (/.f64 (.f64 (-.f64 (.f64 -4/3 f) (.f64 -4/9 f)) f) (pow.f64 n 2)))))
(-.f64 (+.f64 4/3 (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -4/3 f) (.f64 -4/9 f)) n)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 -2 (pow.f64 f 3)) (.f64 -4 (pow.f64 f 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 f 2) (-.f64 (.f64 -4/3 f) (.f64 -4/9 f)))) (+.f64 (.f64 -4/9 (pow.f64 f 3)) (.f64 -1/3 (.f64 f (-.f64 (.f64 1/3 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2))) (+.f64 (.f64 4/9 (pow.f64 f 2)) (.f64 -1/3 (.f64 f (-.f64 (.f64 -4/3 f) (.f64 -4/9 f))))))))))) (pow.f64 n 3)))))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1/3 (/.f64 (.f64 (-.f64 (.f64 -4/3 f) (.f64 -4/9 f)) f) (pow.f64 n 2)))))
4/3
(+.f64 4/3 (*.f64 8/9 (/.f64 f n)))
(+.f64 4/3 (+.f64 (.f64 25/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 8/9 (/.f64 f n))))
(+.f64 4/3 (+.f64 (.f64 77/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 25/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 8/9 (/.f64 f n)))))
1/2
(-.f64 (+.f64 1/2 (.f64 -1 (/.f64 n f))) (.f64 -1/4 (/.f64 n f)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 n f)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1/4 (/.f64 n f)) (.f64 -1/2 (/.f64 (.f64 n (-.f64 (.f64 -1 n) (*.f64 -1/4 n))) (pow.f64 f 2))))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 n f)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2)))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) (.f64 -1/4 n))) (pow.f64 f 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 n (-.f64 (.f64 1/2 (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/2 (.f64 n (-.f64 (.f64 -1 n) (.f64 -1/4 n))))))) (pow.f64 f 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 n (-.f64 (.f64 -1 n) (.f64 -1/4 n))) (pow.f64 f 2))) (.f64 -1/4 (/.f64 n f))))))))
1/2
(+.f64 1/2 (.f64 -1 (/.f64 (-.f64 n (.f64 1/4 n)) f)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 1/4 n)) f)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 1/2 (/.f64 (.f64 n (-.f64 n (.f64 1/4 n))) (pow.f64 f 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 2 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3)))) (+.f64 (.f64 1/2 (.f64 n (-.f64 (.f64 1/2 (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 1/2 (.f64 n (-.f64 n (.f64 1/4 n)))))))) (+.f64 (.f64 1/4 (pow.f64 n 3)) (.f64 -1/2 (.f64 (pow.f64 n 2) (-.f64 n (.f64 1/4 n))))))) (pow.f64 f 3))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 1/4 n)) f)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2))) (pow.f64 f 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 n (-.f64 n (.f64 1/4 n))) (pow.f64 f 2))) (.f64 -1/4 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
1
(+.f64 1 (*.f64 -2 (/.f64 n f)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))))
4
(+.f64 (*.f64 4 (/.f64 f n)) 4)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 4 (/.f64 f n)) (+.f64 4 (.f64 4 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 4 (/.f64 f n)) (+.f64 4 (+.f64 (.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))))
4
(+.f64 (*.f64 4 (/.f64 f n)) 4)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 4 (/.f64 f n)) (+.f64 4 (.f64 4 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 4 (/.f64 f n)) (+.f64 4 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 f 3)) (.f64 -2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))))
4
(+.f64 (*.f64 4 (/.f64 f n)) 4)
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 4 (.f64 5 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 4 (+.f64 (.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 5 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
1
(+.f64 1 (*.f64 -2 (/.f64 n f)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (.f64 -2 (/.f64 n f)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -2 (/.f64 n f)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 n f)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (.f64 -2 (/.f64 n f)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f))))))
1/2
(+.f64 (*.f64 1/4 (/.f64 n f)) 1/2)
(+.f64 (.f64 1/4 (/.f64 n f)) (+.f64 1/2 (.f64 3/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(+.f64 (.f64 1/4 (/.f64 n f)) (+.f64 1/2 (+.f64 (.f64 9/16 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 3/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
1/3
(+.f64 (*.f64 -1/9 (/.f64 f n)) 1/3)
(+.f64 (.f64 -1/9 (/.f64 f n)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2))) (pow.f64 n 2))) 1/3))
(+.f64 (.f64 -1/9 (/.f64 f n)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2))) (pow.f64 n 2))) (+.f64 1/3 (.f64 -1 (/.f64 (+.f64 (.f64 -1/27 (pow.f64 f 3)) (+.f64 (.f64 -1/3 (.f64 f (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2))))) (*.f64 1/9 (pow.f64 f 3)))) (pow.f64 n 3))))))
1/3
(+.f64 (*.f64 -1/9 (/.f64 f n)) 1/3)
(+.f64 (.f64 -1/9 (/.f64 f n)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2))) (pow.f64 n 2))) 1/3))
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1/3
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1/2
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1/2
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3/2
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1/3
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1/3
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1/3
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3/2
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3/2
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(+.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (-.f64 n f)))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 f (-.f64 n f)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)))
(+.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (fma.f64 (/.f64 (neg.f64 f) (-.f64 n f)) 1 (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (fma.f64 (neg.f64 (/.f64 1 (-.f64 n f))) f (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (-.f64 n f)))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 f (-.f64 n f)))))
(+.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (/.f64 f (-.f64 n f)))))
(+.f64 (*.f64 (/.f64 (neg.f64 f) (-.f64 n f)) 1) (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)))
(+.f64 (fma.f64 (/.f64 (neg.f64 f) (-.f64 n f)) 1 (/.f64 f (-.f64 n f))) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (-.f64 n f))) f (/.f64 f (-.f64 n f))) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (-.f64 n f)))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 f (-.f64 n f))) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (/.f64 f (-.f64 n f))) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(+.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f))))) 1)
(*.f64 1 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(*.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 1)
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))))
(.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f)) (/.f64 1 (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2)) (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (sqrt.f64 (/.f64 f (-.f64 n f)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))
(/.f64 1 (/.f64 (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (-.f64 n f) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))))
(/.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f)) (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f)) (+.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 n f))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (/.f64 (neg.f64 f) (-.f64 n f)))) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 (neg.f64 f) (-.f64 n f))))
(/.f64 (-.f64 (pow.f64 (-.f64 n f) 2) (.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)))) (.f64 (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (-.f64 n f) (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3)) (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)) (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 (neg.f64 f) (-.f64 n f)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (-.f64 (.f64 (/.f64 (neg.f64 f) (-.f64 n f)) (/.f64 (neg.f64 f) (-.f64 n f))) (.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 (neg.f64 f) (-.f64 n f))))))
(/.f64 (-.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)) 3)) (.f64 (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (pow.f64 (-.f64 n f) 2) (+.f64 (.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)) (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2))) (.f64 (-.f64 n f) (.f64 f (+.f64 (/.f64 n (-.f64 n f)) 2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) 3) (pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3)) (+.f64 (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (*.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) 3) (pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) 3)) (.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)) (+.f64 (.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 n f) f) (/.f64 n (-.f64 n f))) 2) (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) (/.f64 (-.f64 n f) f)))
(/.f64 (-.f64 (+.f64 (neg.f64 n) f) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) (neg.f64 f))) (.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) (+.f64 (neg.f64 n) f)))
(/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 n f) f)) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) 1)) (*.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) (/.f64 (-.f64 n f) f)))
(/.f64 (-.f64 (+.f64 (neg.f64 n) f) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f)) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (-.f64 (.f64 -1 (+.f64 (neg.f64 n) f)) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) (neg.f64 f))) (*.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) (+.f64 (neg.f64 n) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))))
(/.f64 (neg.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f))) (neg.f64 (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))))
(pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(fma.f64 1 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 (neg.f64 f) (-.f64 n f)))
(fma.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (/.f64 (neg.f64 f) (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (/.f64 n (-.f64 n f))))) (/.f64 (neg.f64 f) (-.f64 n f)))

Outputs
1/2
(+.f64 1/2 (*.f64 -3/4 (/.f64 n f)))
(+.f64 1/2 (/.f64 (*.f64 -3/4 n) f))
(+.f64 1/2 (+.f64 (.f64 -3/4 (/.f64 n f)) (.f64 -5/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(+.f64 1/2 (fma.f64 -3/4 (/.f64 n f) (.f64 -5/8 (/.f64 (.f64 n n) (*.f64 f f)))))
(+.f64 1/2 (fma.f64 -3/4 (/.f64 n f) (/.f64 (.f64 (.f64 -5/8 n) n) (*.f64 f f))))
(+.f64 (.f64 -7/16 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 1/2 (+.f64 (.f64 -3/4 (/.f64 n f)) (*.f64 -5/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(fma.f64 -7/16 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 1/2 (fma.f64 -3/4 (/.f64 n f) (.f64 -5/8 (/.f64 (.f64 n n) (*.f64 f f))))))
(fma.f64 -7/16 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 1/2 (fma.f64 -3/4 (/.f64 n f) (/.f64 (.f64 (.f64 -5/8 n) n) (*.f64 f f)))))
4/3
(-.f64 (+.f64 (.f64 4/3 (/.f64 f n)) 4/3) (.f64 4/9 (/.f64 f n)))
(+.f64 (fma.f64 4/3 (/.f64 f n) 4/3) (*.f64 -4/9 (/.f64 f n)))
(+.f64 (fma.f64 4/3 (/.f64 f n) 4/3) (*.f64 (/.f64 f n) -4/9))
(-.f64 (+.f64 (.f64 4/3 (/.f64 f n)) (+.f64 4/3 (.f64 1/3 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 4/9 (/.f64 f n)) (.f64 1/3 (/.f64 (.f64 f (-.f64 (.f64 4/3 f) (*.f64 4/9 f))) (pow.f64 n 2))))))
(-.f64 (+.f64 4/3 (fma.f64 4/3 (/.f64 f n) (/.f64 (.f64 1/3 (.f64 5 (.f64 f f))) (.f64 n n)))) (fma.f64 4/9 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 4/9 (/.f64 f n) (/.f64 (.f64 1/3 (.f64 f (.f64 f 8/9))) (.f64 n n)))))
(+.f64 4/3 (-.f64 (fma.f64 4/3 (/.f64 f n) (.f64 (/.f64 (.f64 f f) (.f64 n n)) 5/3)) (fma.f64 4/9 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 4/9 (/.f64 f n) (.f64 1/3 (/.f64 f (/.f64 (.f64 n n) (.f64 f 8/9))))))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 4/3 (+.f64 (.f64 4/3 (/.f64 f n)) (.f64 1/3 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2)))))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 4/3 f) (.f64 4/9 f))) (pow.f64 n 3))) (+.f64 (.f64 4/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 f (-.f64 (.f64 4/3 f) (.f64 4/9 f))) (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 f (-.f64 (.f64 1/3 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2))) (+.f64 (.f64 1/3 (.f64 f (-.f64 (.f64 4/3 f) (.f64 4/9 f)))) (.f64 4/9 (pow.f64 f 2))))) (pow.f64 n 3))) (.f64 4/9 (/.f64 f n))))))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 4/3 (fma.f64 4/3 (/.f64 f n) (/.f64 (.f64 1/3 (.f64 5 (.f64 f f))) (.f64 n n))))) (fma.f64 4/9 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 1/3 (/.f64 (.f64 f f) (/.f64 (pow.f64 n 3) (.f64 f 8/9))) (fma.f64 4/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 1/3 (/.f64 f (/.f64 (.f64 n n) (.f64 f 8/9))) (fma.f64 1/3 (/.f64 f (/.f64 (pow.f64 n 3) (-.f64 (.f64 1/3 (.f64 5 (.f64 f f))) (fma.f64 1/3 (.f64 f (.f64 f 8/9)) (.f64 (.f64 f f) 4/9))))) (.f64 (/.f64 f n) 4/9)))))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 4/3 (/.f64 f n) 4/3) (.f64 (/.f64 (.f64 f f) (.f64 n n)) 5/3))) (fma.f64 4/9 (/.f64 (.f64 f f) (.f64 n n)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 f 3) 8/9) (pow.f64 n 3)) (fma.f64 4/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 1/3 (/.f64 f (/.f64 (.f64 n n) (.f64 f 8/9))) (fma.f64 1/3 (/.f64 f (/.f64 (pow.f64 n 3) (-.f64 (.f64 5/3 (.f64 f f)) (fma.f64 1/3 (.f64 f (.f64 f 8/9)) (.f64 f (.f64 f 4/9)))))) (*.f64 (/.f64 f n) 4/9)))))))
4/3
(+.f64 4/3 (.f64 -1 (/.f64 (-.f64 (.f64 -4/3 f) (*.f64 -4/9 f)) n)))
(+.f64 4/3 (neg.f64 (/.f64 (*.f64 f -8/9) n)))
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4/3
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1/2
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1/2
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1
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4
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(fma.f64 4 (/.f64 f n) 4)
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4
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4
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(fma.f64 4 (/.f64 f n) 4)
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1
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1
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(fma.f64 -2 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 1 (*.f64 (/.f64 n f) -2))))
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1/2
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(+.f64 (.f64 1/4 (/.f64 n f)) (+.f64 1/2 (.f64 3/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
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1/3
(+.f64 (*.f64 -1/9 (/.f64 f n)) 1/3)
(fma.f64 -1/9 (/.f64 f n) 1/3)
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(fma.f64 -1/9 (/.f64 f n) (fma.f64 -1 (/.f64 (.f64 (.f64 f f) 2/27) (*.f64 n n)) 1/3))
(fma.f64 -1/9 (/.f64 f n) (fma.f64 -1 (.f64 (/.f64 (.f64 f f) (*.f64 n n)) 2/27) 1/3))
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1/3
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(fma.f64 -1/9 (/.f64 f n) 1/3)
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(fma.f64 -1/9 (/.f64 f n) (fma.f64 -1 (/.f64 (.f64 (.f64 f f) 2/27) (*.f64 n n)) 1/3))
(fma.f64 -1/9 (/.f64 f n) (fma.f64 -1 (.f64 (/.f64 (.f64 f f) (*.f64 n n)) 2/27) 1/3))
(+.f64 (.f64 -1/9 (/.f64 f n)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2))) (pow.f64 n 2))) (+.f64 1/3 (+.f64 (.f64 -1/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 f (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2)))) (pow.f64 n 3))) (.f64 1/27 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))))
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(+.f64 (fma.f64 -1/9 (/.f64 f n) (fma.f64 -1 (.f64 (/.f64 (.f64 f f) (.f64 n n)) 2/27) 1/3)) (fma.f64 -1/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 f 3) 2/27) (pow.f64 n 3)) (*.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) 1/27))))
1/3
(+.f64 (*.f64 -1/9 (/.f64 f n)) 1/3)
(fma.f64 -1/9 (/.f64 f n) 1/3)
(+.f64 (.f64 -1/9 (/.f64 f n)) (+.f64 1/3 (.f64 -2/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 -1/9 (/.f64 f n) 1/3) (.f64 (/.f64 (.f64 f f) (*.f64 n n)) -2/27))
(+.f64 (fma.f64 -1/9 (/.f64 f n) 1/3) (/.f64 (.f64 (.f64 f f) -2/27) (*.f64 n n)))
(+.f64 (.f64 -1/9 (/.f64 f n)) (+.f64 1/3 (+.f64 (.f64 -4/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 -2/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (fma.f64 -1/9 (/.f64 f n) 1/3) (fma.f64 -4/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (/.f64 (.f64 f f) (*.f64 n n)) -2/27)))
(+.f64 (fma.f64 -1/9 (/.f64 f n) 1/3) (fma.f64 -4/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (.f64 (.f64 f f) -2/27) (*.f64 n n))))
1/2
(+.f64 (*.f64 1/4 (/.f64 n f)) 1/2)
(fma.f64 1/4 (/.f64 n f) 1/2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 1/4 (/.f64 n f)) 1/2))
(fma.f64 -1 (/.f64 (.f64 (.f64 n n) -3/8) (*.f64 f f)) (fma.f64 1/4 (/.f64 n f) 1/2))
(fma.f64 -1 (/.f64 (.f64 n (.f64 n -3/8)) (*.f64 f f)) (fma.f64 1/4 (/.f64 n f) 1/2))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 1/4 (/.f64 n f)) (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 n 3)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) n)) (*.f64 -1/8 (pow.f64 n 3)))) (pow.f64 f 3))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 n n) -3/8) (.f64 f f)) (+.f64 (fma.f64 1/4 (/.f64 n f) 1/2) (neg.f64 (/.f64 (fma.f64 -1/4 (pow.f64 n 3) (fma.f64 1/2 (.f64 n (.f64 (.f64 n n) -3/8)) (*.f64 (pow.f64 n 3) -1/8))) (pow.f64 f 3)))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 n (.f64 n -3/8)) (.f64 f f)) (fma.f64 1/4 (/.f64 n f) 1/2)) (neg.f64 (/.f64 (fma.f64 -1/4 (pow.f64 n 3) (fma.f64 1/2 (.f64 (pow.f64 n 3) -3/8) (*.f64 (pow.f64 n 3) -1/8))) (pow.f64 f 3))))
1/2
(+.f64 (*.f64 1/4 (/.f64 n f)) 1/2)
(fma.f64 1/4 (/.f64 n f) 1/2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 1/4 (/.f64 n f)) 1/2))
(fma.f64 -1 (/.f64 (.f64 (.f64 n n) -3/8) (*.f64 f f)) (fma.f64 1/4 (/.f64 n f) 1/2))
(fma.f64 -1 (/.f64 (.f64 n (.f64 n -3/8)) (*.f64 f f)) (fma.f64 1/4 (/.f64 n f) 1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) n) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (.f64 1/4 (/.f64 n f)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 1/2 (.f64 1/4 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 n n) -3/8) (/.f64 (pow.f64 f 3) n)) (fma.f64 -1 (/.f64 (.f64 (.f64 n n) -3/8) (.f64 f f)) (fma.f64 1/4 (/.f64 n f) (fma.f64 1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 1/2 (.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) 1/4))))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 n 3) -3/8) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (.f64 n (.f64 n -3/8)) (.f64 f f)) (fma.f64 1/4 (/.f64 n f) (fma.f64 1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 1/2 (/.f64 (*.f64 (pow.f64 n 3) 1/4) (pow.f64 f 3)))))))
3/2
(+.f64 3/2 (*.f64 5/4 (/.f64 n f)))
(+.f64 3/2 (*.f64 (/.f64 n f) 5/4))
(+.f64 3/2 (/.f64 (*.f64 n 5/4) f))
(+.f64 (.f64 11/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 3/2 (.f64 5/4 (/.f64 n f))))
(fma.f64 11/8 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 3/2 (*.f64 (/.f64 n f) 5/4)))
(fma.f64 11/8 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 3/2 (/.f64 (*.f64 n 5/4) f)))
(+.f64 (.f64 11/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 3/2 (+.f64 (.f64 5/4 (/.f64 n f)) (*.f64 25/16 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(fma.f64 11/8 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 3/2 (fma.f64 5/4 (/.f64 n f) (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) 25/16))))
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1/3
(+.f64 (.f64 -1 (/.f64 (+.f64 f (.f64 1/9 f)) n)) 1/3)
(fma.f64 -1 (/.f64 (*.f64 10/9 f) n) 1/3)
(+.f64 1/3 (*.f64 (/.f64 f n) -10/9))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 f (.f64 1/9 f)) n)) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1/3)) (+.f64 (.f64 1/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -1/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 10/9 f) n) (fma.f64 -1 (/.f64 (.f64 f f) (.f64 n n)) 1/3)) (.f64 (/.f64 (.f64 f f) (.f64 n n)) 2/27))
(+.f64 (.f64 (/.f64 f n) -10/9) (-.f64 (fma.f64 -1 (/.f64 (.f64 f f) (.f64 n n)) 1/3) (.f64 (/.f64 (.f64 f f) (.f64 n n)) 2/27)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1/3 (+.f64 (.f64 -1 (/.f64 (+.f64 f (.f64 1/9 f)) n)) (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))) (+.f64 (.f64 -1/3 (/.f64 (.f64 f (+.f64 (.f64 1/9 (pow.f64 f 2)) (.f64 -1/27 (pow.f64 f 2)))) (pow.f64 n 3))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 -1/27 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (.f64 -1/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))))
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(+.f64 (fma.f64 -1 (/.f64 (.f64 f f) (.f64 n n)) 1/3) (-.f64 (+.f64 (.f64 (/.f64 f n) -10/9) (neg.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 -1/3 (/.f64 (.f64 (pow.f64 f 3) 2/27) (pow.f64 n 3)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) 1/9) (.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) -1/27)) (.f64 (/.f64 (.f64 f f) (*.f64 n n)) 2/27)))))
1/3
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(+.f64 (fma.f64 -1/9 (/.f64 f n) 1/3) (.f64 -1 (+.f64 (/.f64 f n) (/.f64 (+.f64 (.f64 f f) (.f64 f (.f64 f 2/27))) (*.f64 n n)))))
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(+.f64 (fma.f64 -1/9 (/.f64 f n) 1/3) (fma.f64 -1/9 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 f 3) 2/27) (pow.f64 n 3)) (fma.f64 1/27 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 -1 (+.f64 (/.f64 f n) (/.f64 (+.f64 (.f64 f f) (.f64 f (.f64 f 2/27))) (.f64 n n)))))))))
1/3
(+.f64 1/3 (*.f64 -10/9 (/.f64 f n)))
(fma.f64 -1 (/.f64 (*.f64 10/9 f) n) 1/3)
(+.f64 1/3 (*.f64 (/.f64 f n) -10/9))
(+.f64 1/3 (+.f64 (.f64 -29/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -10/9 (/.f64 f n))))
(+.f64 1/3 (fma.f64 -29/27 (/.f64 (.f64 f f) (.f64 n n)) (*.f64 (/.f64 f n) -10/9)))
(+.f64 (.f64 -85/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1/3 (+.f64 (.f64 -29/27 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -10/9 (/.f64 f n)))))
(fma.f64 -85/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1/3 (fma.f64 -29/27 (/.f64 (.f64 f f) (.f64 n n)) (*.f64 (/.f64 f n) -10/9))))
3/2
(-.f64 (+.f64 3/2 (/.f64 n f)) (*.f64 -1/4 (/.f64 n f)))
(fma.f64 1/4 (/.f64 n f) (+.f64 (/.f64 n f) 3/2))
(-.f64 (+.f64 3/2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1/4 (/.f64 n f)))))
(+.f64 3/2 (-.f64 (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f f))) (fma.f64 -1/4 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1/8 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 (/.f64 n f) -1/4)))))
(-.f64 (+.f64 3/2 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1/8 (pow.f64 n 2))) n) (pow.f64 f 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1/4 (/.f64 n f))))))))
(-.f64 (+.f64 3/2 (+.f64 (/.f64 n f) (+.f64 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) (fma.f64 -1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -1/4 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1/4 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 1/2 (/.f64 (.f64 (.f64 n n) -3/8) (/.f64 (pow.f64 f 3) n)) (fma.f64 -1/8 (/.f64 (.f64 n n) (.f64 f f)) (*.f64 (/.f64 n f) -1/4)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) (/.f64 (.f64 n n) (.f64 f f)))) (-.f64 3/2 (fma.f64 -1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -1/4 (/.f64 (.f64 n n) (.f64 f f)) (fma.f64 -1/4 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 n 3) -3/8) (pow.f64 f 3)) (fma.f64 -1/8 (/.f64 (.f64 n n) (.f64 f f)) (.f64 (/.f64 n f) -1/4))))))))
3/2
(+.f64 (*.f64 1/4 (/.f64 n f)) (+.f64 3/2 (/.f64 n f)))
(fma.f64 1/4 (/.f64 n f) (+.f64 (/.f64 n f) 3/2))
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(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 n n) (.f64 n (.f64 n -3/8))) (.f64 f f)) (fma.f64 1/4 (/.f64 n f) (+.f64 (/.f64 n f) 3/2)))
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(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 n 3) -3/8) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 n n) (.f64 n (.f64 n -3/8))) (.f64 f f)) (fma.f64 1/4 (/.f64 n f) (fma.f64 1/8 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) (+.f64 3/2 (/.f64 (.f64 5/4 (pow.f64 n 3)) (pow.f64 f 3))))))))
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(/.f64 (-.f64 (neg.f64 (+.f64 f (neg.f64 n))) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) (neg.f64 f))) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) (+.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) -2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (+.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) -2) (/.f64 (/.f64 f (-.f64 n f)) (+.f64 2 (/.f64 n (-.f64 n f))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) -3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) -2) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (/.f64 f (-.f64 n f)) (+.f64 2 (/.f64 n (-.f64 n f))))))))
(/.f64 (neg.f64 (+.f64 (-.f64 n f) (.f64 (-.f64 -2 (/.f64 n (-.f64 n f))) f))) (neg.f64 (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) 2))))
(/.f64 (neg.f64 (+.f64 (-.f64 n f) (.f64 f (-.f64 -2 (/.f64 n (-.f64 n f)))))) (.f64 (-.f64 n f) (neg.f64 (+.f64 2 (/.f64 n (-.f64 n f))))))
(/.f64 (+.f64 f (-.f64 (neg.f64 n) (.f64 f (-.f64 -2 (/.f64 n (-.f64 n f)))))) (.f64 (+.f64 2 (/.f64 n (-.f64 n f))) (neg.f64 (-.f64 n f))))
(pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 1)
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 2)
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 3)
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 3) 1/3)
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 2))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))) 3))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))) 1))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f)))))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 (neg.f64 f) (-.f64 n f)))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -1/2) (/.f64 (neg.f64 f) (-.f64 n f)))
(-.f64 (/.f64 1 (+.f64 2 (/.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (/.f64 n (-.f64 n f))))) (/.f64 (neg.f64 f) (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 n (-.f64 n f))) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (/.f64 n (-.f64 n f))))) (/.f64 (neg.f64 f) (-.f64 n f)))

eval1.0s (9.9%)

Compiler: Compiled 54973 to 22308 computations (59.4% saved)

prune507.0ms (4.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1653	1	1654
Fresh	0	2	2
Picked	1	0	1
Done	0	6	6
Total	1654	9	1663

Error

Counts

1663 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
	18.5b	(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (/.f64 (-.f64 n f) n)) (*.f64 (+.f64 -1 (/.f64 n f)) (/.f64 (-.f64 n f) n)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	30.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
✓	0.1b	(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))
	33.7b	1
	30.5b	-1

Compiler

Compiled 109 to 65 computations (40.4% saved)

regimes28.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (/.f64 1 (/.f64 (-.f64 n f) f)))
(+.f64 (+.f64 (+.f64 (/.f64 n (-.f64 n f)) 2) -2) (*.f64 (/.f64 1 (-.f64 n f)) f))
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (/.f64 (-.f64 n f) n)) (*.f64 (+.f64 -1 (/.f64 n f)) (/.f64 (-.f64 n f) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 n (-.f64 n f))) 2) (+.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) 2)) (/.f64 f (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1) (*.f64 (/.f64 1 (-.f64 n f)) f))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))

Calls

3 calls:

10.0ms	f
10.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.0b	1	`f`
0.0b	1	`n`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 253 to 107 computations (57.7% saved)

regimes15.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))

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

Calls

3 calls:

6.0ms	f
5.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.0b	1	`f`
0.0b	1	`n`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 77 to 43 computations (44.2% saved)

regimes13.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

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

Calls

3 calls:

5.0ms	f
4.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.0b	1	`f`
0.0b	1	`n`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes41.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)

Outputs
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1

Calls

2 calls:

31.0ms	f
9.0ms	n

Results

Error	Segments	Branch
15.1b	5	`f`
11.9b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.920929716399894e+21	6.514879041074277e+24
11.0ms	-4.1079346108838383e+68	-4.473715384377726e+67

Results

21.0ms

224×

body

256

valid

Compiler

Compiled 211 to 178 computations (15.6% saved)

regimes30.0ms (0.3%)

Accuracy

Total -50.7b remaining (-410.5%)

Threshold costs -50.7b (-410.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

2 calls:

15.0ms	n
14.0ms	f

Results

Error	Segments	Branch
15.3b	5	`f`
12.3b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.22978443316606e-20	1.8540273222556576e-11
19.0ms	-9.35910858260559e+20	-18.889110952613443

Results

43.0ms

304×

body

256

valid

Compiler

Compiled 167 to 162 computations (3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
6×	`sub-neg`
4×	`if-if-or-not`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	148
1	53	148
2	57	148
3	59	148
4	60	148

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -159999999999999997237884125426969573075836526009294916457234354405376) 1 (if (<=.f64 n 2250000000000000000000) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -2950000000) 1 (if (<=.f64 n 3961408125713217/19807040628566084398385987584) -1 1))
-1

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 1 (/.f64 (-.f64 n f) f)))
(+.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 n -159999999999999997237884125426969573075836526009294916457234354405376) 1 (if (<=.f64 n 2250000000000000000000) (-.f64 (*.f64 -2 (/.f64 n f)) 1) 1))
(if (<=.f64 n -159999999999999997237884125426969573075836526009294916457234354405376) 1 (if (<=.f64 n 2250000000000000000000) (+.f64 (*.f64 -2 (/.f64 n f)) -1) 1))
(if (<=.f64 n -2950000000) 1 (if (<=.f64 n 3961408125713217/19807040628566084398385987584) -1 1))
-1

Compiler

Compiled 72 to 48 computations (33.3% saved)

soundness411.0ms (4%)

Algorithm

2×	egg-herbie

Rules

1492×	`associate-/l/`
1116×	`associate-/l*`
1034×	`associate-r`
882×	`associate-l`
862×	`*-commutative`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	23
2	44	23
3	85	23
4	170	23
5	355	23
6	825	19
7	2425	19
8	3624	19
9	4556	19
10	4913	19
11	4961	19
12	4973	19
13	4973	19
0	962	20269
1	2918	19381

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 173 to 65 computations (62.4% saved)

end63.0ms (0.6%)

Compiler: Compiled 62 to 35 computations (43.5% saved)