Details

analyze80.0ms (2.7%)

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)

sample721.0ms (24.2%)

Results

708.0ms

8256×

body

256

valid

Bogosity

preprocess144.0ms (4.8%)

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 (4.3%)

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 (0.2%)

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 (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2%)

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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simplify116.0ms (3.9%)

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))

eval51.0ms (1.7%)

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

prune51.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	6	136

Error

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	30.1b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	32.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.3b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	33.1b	1
	30.8b	-1

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize11.0ms (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 (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite117.0ms (3.9%)

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))))))))

simplify216.0ms (7.3%)

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)))
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(/.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 (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

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

rewrite100.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1946×	`*-un-lft-identity`
1818×	`add-cube-cbrt`
1800×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	193	28
2	2456	28

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 f n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (*.f64 2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 f) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 f) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 f n) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) (fma.f64 2 (/.f64 f n) -1)) (/.f64 1 (fma.f64 2 (/.f64 f n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 f n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 f n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 f n) 1)) (sqrt.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) -1) (/.f64 1 (fma.f64 2 (/.f64 f n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) (-.f64 1 (*.f64 2 (/.f64 f n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (/.f64 f n) -1) (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) (-.f64 1 (*.f64 2 (/.f64 f n)))) (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) -1) (fma.f64 2 (/.f64 f n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) (-.f64 1 (*.f64 2 (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) (+.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) (*.f64 2 (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 f n) 2) 4)) (-.f64 1 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) -1)) (neg.f64 (fma.f64 2 (/.f64 f n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) (-.f64 1 (*.f64 2 (/.f64 f n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (/.f64 f n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 f n) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (/.f64 f n) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 f n) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 f n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 f n) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 2 (/.f64 f n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 f n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 f n) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) (sqrt.f64 (*.f64 2 (/.f64 f n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 2) (cbrt.f64 (*.f64 2 (/.f64 f n))) 1)))))

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-r`
1168×	`associate-+r+`
1106×	`associate-l`
940×	`associate-+l+`
546×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1538
1	304	1458
2	1201	1434
3	6439	1434

Stop Event

1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

localize10.0ms (0.3%)

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)

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (1.7%)

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))))))))

simplify41.0ms (1.4%)

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))

eval232.0ms (7.8%)

Compiler: Compiled 13824 to 5498 computations (60.2% saved)

prune218.0ms (7.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	675	0	675
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	675	6	681

Error

Counts

681 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	30.1b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.3b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	33.1b	1
	30.8b	-1

Compiler

Compiled 44 to 32 computations (27.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	30.1b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.3b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	33.1b	1
	30.8b	-1

Compiler

Compiled 44 to 32 computations (27.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	30.1b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.3b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	33.1b	1
	30.8b	-1

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes15.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	n
5.0ms	f
4.0ms	(/.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 58 to 32 computations (44.8% saved)

regimes27.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	n
11.0ms	f

Results

Error	Segments	Branch
12.5b	3	`f`
13.5b	3	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	9.459726787962963e+79	1.9492470231835297e+86
11.0ms	-1.4792366595028332e-21	-7.248017839170118e-24

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 335 to 266 computations (20.6% saved)

regimes22.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	n
10.0ms	f

Results

Error	Segments	Branch
12.9b	3	`f`
13.9b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch23.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	9.103923256448321e+119	6.106481527830437e+121
12.0ms	-1.4792366595028332e-21	-7.248017839170118e-24

Results

21.0ms

224×

body

256

valid

Compiler

Compiled 211 to 178 computations (15.6% saved)

regimes23.0ms (0.8%)

Accuracy

Total -49.8b remaining (-376.1%)

Threshold costs -49.8b (-376.1%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

2 calls:

12.0ms	n
9.0ms	f

Results

Error	Segments	Branch
13.2b	3	`f`
14.1b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch23.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	9.709046860881935e+78	3.399283009071546e+79
14.0ms	-1.7444413753464973e-26	-1.4175962280497515e-29

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 119 to 114 computations (4.2% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	143
1	60	143
2	64	143
3	66	143
4	67	143

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -552958846246525/21267647932558653966460912964485513216) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 105000000000000000686142180872268057226260194263201051546132922579596192201572352) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -5954941421116423/21267647932558653966460912964485513216) -1 (if (<=.f64 f 920000000000000027473163199404095319351718683506986652664856230249933096209011215166063801905289205974765051369104605184) (+.f64 (*.f64 2 (/.f64 f n)) 1) -1))
(if (<=.f64 f -4704063440315053/348449143727040986586495598010130648530944) -1 (if (<=.f64 f 10500000000000000397715129551468014153619855937790206151160465384675591889879040) 1 -1))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -552958846246525/21267647932558653966460912964485513216) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 105000000000000000686142180872268057226260194263201051546132922579596192201572352) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (or (<=.f64 f -552958846246525/21267647932558653966460912964485513216) (not (<=.f64 f 105000000000000000686142180872268057226260194263201051546132922579596192201572352))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (.f64 2 (/.f64 f n))))
(if (<=.f64 f -5954941421116423/21267647932558653966460912964485513216) -1 (if (<=.f64 f 920000000000000027473163199404095319351718683506986652664856230249933096209011215166063801905289205974765051369104605184) (+.f64 (*.f64 2 (/.f64 f n)) 1) -1))
(if (<=.f64 f -5954941421116423/21267647932558653966460912964485513216) -1 (if (<=.f64 f 920000000000000027473163199404095319351718683506986652664856230249933096209011215166063801905289205974765051369104605184) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 f -4704063440315053/348449143727040986586495598010130648530944) -1 (if (<=.f64 f 10500000000000000397715129551468014153619855937790206151160465384675591889879040) 1 -1))
-1

Compiler

Compiled 69 to 53 computations (23.2% saved)

soundness320.0ms (10.7%)

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

Compiler

Compiled 126 to 46 computations (63.5% saved)

end40.0ms (1.4%)

Compiler: Compiled 61 to 44 computations (27.9% saved)

Details

analyze80.0ms (2.7%)

sample721.0ms (24.2%)

preprocess144.0ms (4.8%)

simplify129.0ms (4.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite60.0ms (2%)

simplify116.0ms (3.9%)

eval51.0ms (1.7%)

prune51.0ms (1.7%)

localize11.0ms (0.4%)

series5.0ms (0.2%)

rewrite117.0ms (3.9%)

simplify216.0ms (7.3%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite100.0ms (3.4%)

simplify66.0ms (2.2%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite50.0ms (1.7%)

simplify41.0ms (1.4%)

eval232.0ms (7.8%)

prune218.0ms (7.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (0.5%)

regimes27.0ms (0.9%)

bsearch28.0ms (1%)

regimes22.0ms (0.7%)

bsearch23.0ms (0.8%)

regimes23.0ms (0.8%)

bsearch23.0ms (0.8%)

simplify7.0ms (0.3%)

soundness320.0ms (10.7%)

end40.0ms (1.4%)

Profiling