Details

analyze79.0ms (1.3%)

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)

sample750.0ms (12.4%)

Results

739.0ms

8256×

body

256

valid

Bogosity

preprocess164.0ms (2.7%)

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)

simplify140.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite111.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change 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simplify110.0ms (1.8%)

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))

eval28.0ms (0.5%)

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

prune22.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Error

0.0b

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	29.4b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	0.2b	(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
▶	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	34.7b	1
	29.8b	-1

Compiler

Compiled 61 to 42 computations (31.1% saved)

localize41.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`*-commutative`
998×	`associate-/r*`
800×	`distribute-lft-in`
768×	`distribute-rgt-in`
698×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	203	32
2	2955	32

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

Outputs
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Outputs

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simplify131.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-/l*`
702×	`times-frac`
638×	`associate-/r*`
632×	`associate-r`
614×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	9408
1	1811	8264

Stop Event

1×	node limit

Counts

222 → 310

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1380×	`add-cbrt-cube`
1366×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1847	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1662×	`distribute-lft-in`
1616×	`distribute-rgt-in`
1066×	`associate-r`
922×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	531
1	144	417
2	541	297
3	3889	297

Stop Event

1×	node limit

Counts

21 → 27

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 19 computations (54.8% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite106.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	224	45
2	3217	45

Stop Event

1×	node limit

Counts

3 → 296

Calls

Call 1

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

Outputs

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

simplify171.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/l/`
926×	`associate-/l*`
692×	`associate-/r*`
688×	`associate-r`
684×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	819	17002
1	2458	15876

Stop Event

1×	node limit

Counts

368 → 549

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (0.9%)

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))))))))

simplify80.0ms (1.3%)

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))

eval311.0ms (5.2%)

Compiler: Compiled 26606 to 10022 computations (62.3% saved)

prune400.0ms (6.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1103	3	1106
Fresh	0	2	2
Picked	0	1	1
Done	1	3	4
Total	1104	9	1113

Error

Counts

1113 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(/.f64 1 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))))
✓	29.4b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.1b	(+.f64 (expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	34.7b	1
	29.8b	-1

Compiler

Compiled 87 to 60 computations (31% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
✓	0.0b	(/.f64 n (-.f64 n f))
✓	0.0b	(+.f64 (expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) f)

Compiler

Compiled 53 to 16 computations (69.8% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	f	@	inf	(/.f64 n (-.f64 n f))
0.0ms	n	@	-inf	(+.f64 (expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	n	@	0	(+.f64 (expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	n	@	inf	(+.f64 (expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
0.0ms	n	@	0	(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))

rewrite158.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`associate-/r*`
1278×	`associate-/l*`
1060×	`associate-/r/`
304×	`associate-+l+`
274×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	280	51
2	3741	51

Stop Event

1×	node limit

Counts

3 → 312

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (+.f64 (sqrt.f64 f) (sqrt.f64 n))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (-.f64 n f) n)) (cbrt.f64 (/.f64 (-.f64 n f) n)))) (cbrt.f64 (/.f64 (-.f64 n f) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 n f)) 1)) (/.f64 (sqrt.f64 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1)) (/.f64 (cbrt.f64 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 n) 1) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 n) (sqrt.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)))) (#(struct:change 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simplify159.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-/l*`
692×	`*-commutative`
692×	`associate-r`
692×	`associate-/l/`
600×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	17324
1	2085	15762

Stop Event

1×	node limit

Counts

384 → 429

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 12 computations (68.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`associate-/l*`
1228×	`associate-/r/`
1034×	`*-commutative`
740×	`distribute-lft-in`
726×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	228	57
2	2987	57

Stop Event

1×	node limit

Counts

3 → 283

Calls

Call 1

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

Outputs

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

simplify116.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

814×	`*-commutative`
800×	`associate-/l*`
788×	`associate-r`
670×	`associate-l`
640×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	603	14723
1	1938	12585

Stop Event

1×	node limit

Counts

355 → 327

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite108.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (pow.f64 (+.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (*.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (-.f64 n f) -1/2) (cbrt.f64 (pow.f64 (+.f64 n f) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) 1) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (-.f64 n 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simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

187 → 250

Calls

Call 1

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

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

eval355.0ms (5.9%)

Compiler: Compiled 29556 to 11427 computations (61.3% saved)

prune293.0ms (4.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1251	1	1252
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	1252	9	1261

Error

Counts

1261 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(/.f64 1 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))))
✓	29.4b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	0.1b	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
✓	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	34.7b	1
	29.8b	-1

Compiler

Compiled 119 to 77 computations (35.3% saved)

localize50.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
✓	0.0b	(pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3)
	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) f)
✓	2.8b	(-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1)

Compiler

Compiled 201 to 92 computations (54.2% saved)

series18.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
3.0ms	f	@	inf	(-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1)
2.0ms	n	@	inf	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
2.0ms	f	@	inf	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
2.0ms	f	@	-inf	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))

rewrite128.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`associate-+l+`
630×	`associate-+r+`
550×	`+-commutative`
466×	`add-sqr-sqrt`
454×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	165
1	475	151
2	7028	151

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs

(-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1)

(pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3)

(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))

Outputs

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simplify157.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1806×	`associate-+r+`
1332×	`associate-+l+`
818×	`associate-r`
748×	`*-commutative`
694×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	864	22230
1	2831	21484

Stop Event

1×	node limit

Counts

224 → 383

Calls

Call 1

Inputs
(*.f64 -3 (/.f64 n f))
(+.f64 (.f64 -3 (/.f64 n f)) (.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))
(+.f64 (.f64 -3 (/.f64 n f)) (+.f64 (.f64 3 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (.f64 -3 (/.f64 n f)) (+.f64 (.f64 3 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 3 (/.f64 (pow.f64 n 5) (pow.f64 f 5))))))
7
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 7 (.f64 8 (/.f64 f n))))
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 7 (+.f64 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 8 (/.f64 f n))))))
(+.f64 (.f64 8 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 4 (/.f64 f n)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 7 (+.f64 (/.f64 (.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) f) (pow.f64 n 3)) (+.f64 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 8 (/.f64 f n)) (*.f64 12 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))))))
7
(+.f64 7 (.f64 -1 (/.f64 (+.f64 (.f64 -8 f) (*.f64 -4 f)) n)))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 7 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 f) (.f64 -4 f)) n)) (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 7 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 f) (.f64 -4 f)) n)) (+.f64 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 (.f64 -4 (pow.f64 f 3)) (.f64 -2 (pow.f64 f 3)))) (+.f64 (.f64 -8 (pow.f64 f 3)) (.f64 -1 (.f64 (+.f64 (.f64 4 (pow.f64 f 2)) (pow.f64 f 2)) f)))) (pow.f64 n 3)))))))
7
(+.f64 7 (*.f64 12 (/.f64 f n)))
(+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 7 (.f64 12 (/.f64 f n))))
(+.f64 (.f64 25 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 7 (*.f64 12 (/.f64 f n)))))
(/.f64 (+.f64 (.f64 -1 n) (.f64 -2 n)) f)
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 n f)) (*.f64 -2 (/.f64 n f)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (.f64 n (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (pow.f64 f 3))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -2 (/.f64 n f)) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))))))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (.f64 n (+.f64 (.f64 2 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3)))) (pow.f64 f 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (.f64 n (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (pow.f64 f 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 4 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (pow.f64 f 4))) (+.f64 (.f64 -2 (/.f64 n f)) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))))))))))))))))
(.f64 -1 (/.f64 (+.f64 n (.f64 2 n)) f))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 n (.f64 2 n)) f)) (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 n (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (+.f64 (.f64 2 (pow.f64 n 3)) (+.f64 (pow.f64 n 3) (.f64 -4 (pow.f64 n 3))))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 n (.f64 2 n)) f)) (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (+.f64 (.f64 4 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 n (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (+.f64 (.f64 2 (pow.f64 n 3)) (+.f64 (pow.f64 n 3) (.f64 -4 (pow.f64 n 3))))) (pow.f64 f 3))) (+.f64 (/.f64 (.f64 n (+.f64 (.f64 2 (pow.f64 n 3)) (.f64 -2 (pow.f64 n 3)))) (pow.f64 f 4)) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (+.f64 (pow.f64 n 2) (.f64 -2 (pow.f64 n 2)))) (pow.f64 f 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 (+.f64 n (*.f64 2 n)) f)))))))))))))
1
(+.f64 1 (*.f64 -3 (/.f64 n f)))
(+.f64 1 (+.f64 (.f64 -3 (/.f64 n f)) (.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 1 (+.f64 (.f64 -3 (/.f64 n f)) (+.f64 (.f64 3 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
8
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))))) 1)
(-.f64 (+.f64 (/.f64 f (-.f64 n f)) (/.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))) (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(-.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (-.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) (/.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(.f64 1 (+.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))))
(.f64 (+.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))) 1)
(.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) 2) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (/.f64 1 (-.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))) (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))))) (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2)) (-.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (/.f64 (.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (/.f64 f (-.f64 n f))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))))
(/.f64 (+.f64 (-.f64 n f) (.f64 (/.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))) f)) (.f64 (/.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (-.f64 n f)) (.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)) f)) (.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)) (-.f64 n f)))
(/.f64 (+.f64 (.f64 (neg.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))) (-.f64 n f)) (.f64 (neg.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) f)) (.f64 (neg.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (-.f64 n f)))
(/.f64 (+.f64 (-.f64 n f) (.f64 f (/.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))))) (.f64 (-.f64 n f) (/.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))))))
(/.f64 (+.f64 (.f64 f (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (.f64 (-.f64 n f) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))))) (.f64 (-.f64 n f) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(/.f64 (+.f64 (.f64 f (neg.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))) (.f64 (-.f64 n f) (neg.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))))) (.f64 (-.f64 n f) (neg.f64 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (-.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) 2) (.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))))))
(pow.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(exp.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(fma.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (/.f64 1 (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))) (hypot.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f)))))) (hypot.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (sqrt.f64 (+.f64 (/.f64 n (-.f64 n f)) 2)))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))) 2) (cbrt.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 n (-.f64 n f)) (+.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 2) 2)))) (/.f64 f (-.f64 n f)))

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

eval410.0ms (6.8%)

Compiler: Compiled 35268 to 17679 computations (49.9% saved)

prune127.0ms (2.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	2	2
Picked	1	0	1
Done	0	6	6
Total	533	9	542

Error

Counts

542 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(/.f64 1 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))))
✓	29.4b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
	0.0b	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (/.f64 f (-.f64 n f)))
✓	34.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	34.7b	1
	29.8b	-1

Compiler

Compiled 117 to 75 computations (35.9% saved)

regimes21.0ms (0.3%)

Counts

13 → 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))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) (+.f64 (/.f64 n (-.f64 n f)) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 n (-.f64 n f)) 1) 1)))) (*.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) (*.f64 (/.f64 1 (-.f64 n f)) f))

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

Calls

3 calls:

8.0ms	n
7.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 202 to 102 computations (49.5% saved)

regimes14.0ms (0.2%)

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 58 to 33 computations (43.1% saved)

regimes28.0ms (0.5%)

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

Calls

2 calls:

14.0ms	n
13.0ms	f

Results

Error	Segments	Branch
14.4b	3	`f`
12.3b	3	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch61.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	1.0692558566726364e+68	1.0733080316316457e+78
15.0ms	-1.08986045971888e-20	-1.2419115326452566e-29

Results

57.0ms

304×

body

256

valid

Compiler

Compiled 395 to 314 computations (20.5% saved)

regimes23.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	f
9.0ms	n

Results

Error	Segments	Branch
14.7b	3	`f`
12.6b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.0692558566726364e+68	1.0733080316316457e+78
13.0ms	-3.3473697846973186e-38	-2.4719845430650503e-41

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 267 to 226 computations (15.4% saved)

regimes24.0ms (0.4%)

Accuracy

Total -50.2b remaining (-392.2%)

Threshold costs -50.2b (-392.2%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

2 calls:

12.0ms	n
11.0ms	f

Results

Error	Segments	Branch
15.0b	3	`f`
12.8b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch47.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.0692558566726364e+68	1.0733080316316457e+78
11.0ms	-1.08986045971888e-20	-1.2419115326452566e-29

Results

44.0ms

272×

body

256

valid

Compiler

Compiled 151 to 146 computations (3.3% saved)

simplify8.0ms (0.1%)

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	42	180
1	63	180
2	67	180
3	69	180
4	70	180

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -2676089423823675/89202980794122492566142873090593446023921664) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 950000000000000068904864562452773369850455689164195857742299647705088) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -7355978596156267/98079714615416886934934209737619787751599303819750539264) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 219999999999999987222624612701015633535835611053937637362647693262848) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -348449143727041/174224571863520493293247799005065324265472) 1 (if (<=.f64 n 134999999999999995424598215888738694921877165768131867569279100518400) -1 1))
-1

Outputs
(/.f64 1 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 n -2676089423823675/89202980794122492566142873090593446023921664) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 950000000000000068904864562452773369850455689164195857742299647705088) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (or (<=.f64 n -2676089423823675/89202980794122492566142873090593446023921664) (not (<=.f64 n 950000000000000068904864562452773369850455689164195857742299647705088))) (+.f64 1 (.f64 2 (/.f64 f n))) (+.f64 (.f64 -2 (/.f64 n f)) -1))
(if (<=.f64 n -7355978596156267/98079714615416886934934209737619787751599303819750539264) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 219999999999999987222624612701015633535835611053937637362647693262848) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (or (<=.f64 n -7355978596156267/98079714615416886934934209737619787751599303819750539264) (not (<=.f64 n 219999999999999987222624612701015633535835611053937637362647693262848))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (<=.f64 n -348449143727041/174224571863520493293247799005065324265472) 1 (if (<=.f64 n 134999999999999995424598215888738694921877165768131867569279100518400) -1 1))
-1

Compiler

Compiled 82 to 62 computations (24.4% saved)

soundness422.0ms (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)

end71.0ms (1.2%)

Compiler: Compiled 72 to 48 computations (33.3% saved)

Details

analyze79.0ms (1.3%)

sample750.0ms (12.4%)

preprocess164.0ms (2.7%)

simplify140.0ms (2.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite111.0ms (1.8%)

simplify110.0ms (1.8%)

eval28.0ms (0.5%)

prune22.0ms (0.4%)

localize41.0ms (0.7%)

series2.0ms (0%)

rewrite83.0ms (1.4%)

simplify131.0ms (2.2%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite73.0ms (1.2%)

simplify45.0ms (0.7%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite106.0ms (1.7%)

simplify171.0ms (2.8%)

localize25.0ms (0.4%)

series3.0ms (0%)

rewrite52.0ms (0.9%)

simplify80.0ms (1.3%)

eval311.0ms (5.2%)

prune400.0ms (6.6%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite158.0ms (2.6%)

simplify159.0ms (2.6%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite95.0ms (1.6%)

simplify116.0ms (1.9%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite108.0ms (1.8%)

simplify106.0ms (1.7%)

eval355.0ms (5.9%)

prune293.0ms (4.9%)

localize50.0ms (0.8%)

series18.0ms (0.3%)

rewrite128.0ms (2.1%)

simplify157.0ms (2.6%)

eval410.0ms (6.8%)

prune127.0ms (2.1%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes28.0ms (0.5%)

bsearch61.0ms (1%)

regimes23.0ms (0.4%)

bsearch30.0ms (0.5%)

regimes24.0ms (0.4%)

bsearch47.0ms (0.8%)

simplify8.0ms (0.1%)

soundness422.0ms (7%)

end71.0ms (1.2%)

Profiling