Details

analyze79.0ms (2%)

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)

sample821.0ms (20.7%)

Results

794.0ms

8256×

body

256

valid

Bogosity

preprocess164.0ms (4.1%)

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)

simplify145.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (1.6%)

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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simplify86.0ms (2.2%)

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))

eval35.0ms (0.9%)

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

prune20.0ms (0.5%)

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

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	32.3b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
▶	31.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	32.9b	1
	31.4b	-1

Compiler

Compiled 63 to 43 computations (31.7% saved)

localize38.0ms (1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 7 computations (79.4% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite156.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`associate-*l/`
1206×	`associate-/r*`
1008×	`*-commutative`
896×	`associate-/l*`
784×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	211	42
2	2885	42

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs
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Outputs

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(cbrt.f64 (-.f64 n f))))))) (#(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 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))))))))

simplify139.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-/l*`
810×	`*-commutative`
786×	`associate-r`
762×	`associate-l`
690×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	720	13469
1	2211	12983

Stop Event

1×	node limit

Counts

263 → 432

Calls

Call 1

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series27.0ms (0.7%)

Counts

2 → 15

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	n	@	0	(*.f64 2 (/.f64 f n))
1.0ms	f	@	inf	(*.f64 2 (/.f64 f n))
1.0ms	n	@	inf	(*.f64 2 (/.f64 f n))
0.0ms	f	@	0	(*.f64 2 (/.f64 f n))
0.0ms	f	@	inf	(+.f64 (*.f64 2 (/.f64 f n)) 1)

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

localize9.0ms (0.2%)

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 (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (1.3%)

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))))))))

simplify50.0ms (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))

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.3b	(-.f64 (.f64 n n) (.f64 f f))
✓	31.6b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))

Compiler

Compiled 59 to 11 computations (81.4% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite151.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`associate-/l*`
1026×	`*-commutative`
720×	`associate-+l+`
393×	`egg-rr`
366×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	327	32
2	5786	32

Stop Event

1×	node limit

Counts

2 → 445

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (pow.f64 (+.f64 f n) 2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (pow.f64 (+.f64 f n) 2)) (/.f64 0 (pow.f64 (+.f64 f n) 2))) (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (pow.f64 (+.f64 f n) 2)) (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (*.f64 (+.f64 f n) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 f 4) (pow.f64 n 4)) (*.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2)) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 f n) 2) (/.f64 1 (pow.f64 (+.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 f n) 2) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2)) (pow.f64 (+.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (pow.f64 (+.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2))) (cbrt.f64 (pow.f64 (+.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2)) (/.f64 1 (pow.f64 (+.f64 f n) 2))) (+.f64 (pow.f64 f 4) (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (pow.f64 (+.f64 f n) 2)) (/.f64 1 (pow.f64 (+.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 f n) (/.f64 1 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1/3)))) (#(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 (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (+.f64 f n))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (*.f64 f f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (-.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (+.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (+.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (*.f64 -1 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (*.f64 -1 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (neg.f64 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (neg.f64 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 n) n (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 n) n (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 (*.f64 n n)) 1 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 (*.f64 n n)) 1 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (*.f64 f f) 1 (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (*.f64 f f) 1 (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (pow.f64 f 4)) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (pow.f64 f 4)) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f n) (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify215.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1252×	`+-commutative`
554×	`associate-+l-`
524×	`distribute-lft-in`
504×	`associate-r`
482×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	882	18313
1	2369	16765
2	7845	15901

Stop Event

1×	node limit

Counts

493 → 660

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

eval539.0ms (13.6%)

Compiler: Compiled 31291 to 11078 computations (64.6% saved)

prune377.0ms (9.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1327	0	1327
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	1327	7	1334

Error

Counts

1334 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	32.3b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
✓	31.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	32.9b	1
	31.4b	-1

Compiler

Compiled 63 to 43 computations (31.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	32.3b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
✓	31.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	32.9b	1
	31.4b	-1

Compiler

Compiled 63 to 43 computations (31.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	32.3b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
✓	31.0b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	32.9b	1
	31.4b	-1

Compiler

Compiled 63 to 43 computations (31.7% saved)

regimes15.0ms (0.4%)

Counts

8 → 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 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Outputs
(log.f64 (exp.f64 (/.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 75 to 40 computations (46.7% saved)

regimes14.0ms (0.3%)

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes38.0ms (1%)

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:

27.0ms	n
10.0ms	f

Results

Error	Segments	Branch
14.6b	3	`f`
12.2b	3	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch69.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	9.452390786236007e-99	4.5831131445929946e-97
57.0ms	-7517000178062851000.0	-10899199921.418737

Results

65.0ms

256×

body

256

valid

Compiler

Compiled 335 to 266 computations (20.6% saved)

regimes23.0ms (0.6%)

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:

12.0ms	n
9.0ms	f

Results

Error	Segments	Branch
14.7b	3	`f`
12.5b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch28.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	9.452390786236007e-99	4.5831131445929946e-97
15.0ms	-7517000178062851000.0	-10899199921.418737

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 239 to 202 computations (15.5% saved)

regimes21.0ms (0.5%)

Accuracy

Total -50.1b remaining (-388.9%)

Threshold costs -50.1b (-388.9%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

2 calls:

10.0ms	n
9.0ms	f

Results

Error	Segments	Branch
15.0b	3	`f`
12.9b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch22.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	9.452390786236007e-99	4.5831131445929946e-97
10.0ms	-7517000178062851000.0	-10899199921.418737

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 119 to 114 computations (4.2% saved)

simplify8.0ms (0.2%)

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	37	176
1	56	176
2	60	176
3	62	176
4	63	176

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -11000000000000000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -600000000000000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -50000000000) 1 (if (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) -1 1))
-1

Outputs
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -11000000000000000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (or (<=.f64 n -11000000000000000) (not (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392))) (+.f64 (.f64 2 (/.f64 f n)) 1) (+.f64 (.f64 -2 (/.f64 n f)) -1))
(if (<=.f64 n -600000000000000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (or (<=.f64 n -600000000000000) (not (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392))) (+.f64 (*.f64 2 (/.f64 f n)) 1) -1)
(if (<=.f64 n -50000000000) 1 (if (<=.f64 n 8657667377137459/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) -1 1))
-1

Compiler

Compiled 80 to 60 computations (25% saved)

soundness336.0ms (8.5%)

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)

end43.0ms (1.1%)

Compiler: Compiled 70 to 46 computations (34.3% saved)

Details

analyze79.0ms (2%)

sample821.0ms (20.7%)

preprocess164.0ms (4.1%)

simplify145.0ms (3.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite64.0ms (1.6%)

simplify86.0ms (2.2%)

eval35.0ms (0.9%)

prune20.0ms (0.5%)

localize38.0ms (1%)

series4.0ms (0.1%)

rewrite156.0ms (3.9%)

simplify139.0ms (3.5%)

localize8.0ms (0.2%)

series27.0ms (0.7%)

rewrite70.0ms (1.8%)

simplify70.0ms (1.8%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite52.0ms (1.3%)

simplify50.0ms (1.3%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

rewrite151.0ms (3.8%)

simplify215.0ms (5.4%)

eval539.0ms (13.6%)

prune377.0ms (9.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes15.0ms (0.4%)

regimes14.0ms (0.3%)

regimes38.0ms (1%)

bsearch69.0ms (1.7%)

regimes23.0ms (0.6%)

bsearch28.0ms (0.7%)

regimes21.0ms (0.5%)

bsearch22.0ms (0.6%)

simplify8.0ms (0.2%)

soundness336.0ms (8.5%)

end43.0ms (1.1%)

Profiling