Details

analyze78.0ms (1.4%)

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)

sample714.0ms (13.2%)

Results

703.0ms

8256×

body

256

valid

Bogosity

preprocess174.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change 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simplify73.0ms (1.4%)

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))

eval57.0ms (1.1%)

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

prune50.0ms (0.9%)

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))
▶	30.6b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	32.8b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
▶	1.3b	(*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
	32.9b	1
	31.1b	-1

Compiler

Compiled 67 to 47 computations (29.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
✓	0.3b	(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 n f)) 2)
✓	0.5b	(cbrt.f64 (-.f64 n f))

Compiler

Compiled 55 to 19 computations (65.5% saved)

series21.0ms (0.4%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
2.0ms	n	@	inf	(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
2.0ms	n	@	0	(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
2.0ms	f	@	inf	(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
1.0ms	f	@	-inf	(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))

rewrite162.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`associate-/r/`
964×	`associate-/l/`
926×	`distribute-rgt-in`
874×	`distribute-lft-in`
316×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	312	64
2	4355	64

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-l`
1404×	`associate-/r*`
1048×	`associate-/l*`
766×	`*-commutative`
528×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	4294976454
1	1988	8852

Stop Event

1×	node limit

Counts

222 → 338

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 f 1) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 f) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 f 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 n (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (.f64 1/3 (.f64 n (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)))) (.f64 (cbrt.f64 f) (cbrt.f64 -1)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 n 2) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 f 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(fma.f64 -1/9 (.f64 (.f64 n n) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (.f64 1/3 (.f64 n (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))
(fma.f64 -1/9 (.f64 (.f64 n n) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)))) (.f64 (cbrt.f64 f) (cbrt.f64 -1))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 n 2) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 f 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 n (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))
(fma.f64 -1/9 (.f64 (.f64 n n) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) (/.f64 (.f64 (pow.f64 n 3) (fma.f64 -2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 f f)))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 f f)))) 1/27))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (.f64 1/3 (.f64 n (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))))
(fma.f64 -1/9 (.f64 (.f64 n n) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) (.f64 (/.f64 (pow.f64 n 3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 n (.f64 (pow.f64 (/.f64 1 (.f64 f f)) 1/18) (pow.f64 (/.f64 1 (.f64 f f)) 1/18)))) (*.f64 (cbrt.f64 f) (cbrt.f64 -1)))))
(pow.f64 n 1/3)
(cbrt.f64 n)
(+.f64 (pow.f64 n 1/3) (.f64 -1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))))
(+.f64 (cbrt.f64 n) (.f64 -1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)))))
(fma.f64 -1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (cbrt.f64 n))
(+.f64 (pow.f64 n 1/3) (+.f64 (.f64 -1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (.f64 -1/9 (.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9)))))
(+.f64 (cbrt.f64 n) (fma.f64 -1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (.f64 -1/9 (.f64 (.f64 f f) (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))))))
(+.f64 (cbrt.f64 n) (fma.f64 -1/9 (.f64 f (.f64 f (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))) (.f64 f (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18)) -1/3))))
(+.f64 (pow.f64 n 1/3) (+.f64 (.f64 -1/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))))
(+.f64 (cbrt.f64 n) (fma.f64 -1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (fma.f64 -1/3 (.f64 (pow.f64 f 3) (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 2/9 (.f64 1 (cbrt.f64 (/.f64 1 (.f64 n n)))))) (cbrt.f64 (/.f64 1 (.f64 n n))))) (.f64 -1/9 (.f64 (.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))))))
(+.f64 (fma.f64 -1/3 (.f64 f (.f64 (pow.f64 (/.f64 1 (.f64 n n)) 1/18) (pow.f64 (/.f64 1 (.f64 n n)) 1/18))) (cbrt.f64 n)) (fma.f64 -1/3 (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) 2/9)) (.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (.f64 n n))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) (.f64 (.f64 f f) -1/9))))
(.f64 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 f f)))
(+.f64 (.f64 2/3 (.f64 n (.f64 (pow.f64 (.f64 f (pow.f64 1 4)) 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (.f64 (pow.f64 (.f64 (pow.f64 f 2) 1) 1/3) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 2/3 (.f64 n (.f64 (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (cbrt.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f))))
(fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 n (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (+.f64 (.f64 2/3 (.f64 n (.f64 (pow.f64 (.f64 f (pow.f64 1 4)) 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (.f64 (pow.f64 (*.f64 (pow.f64 f 2) 1) 1/3) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (.f64 n n) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9) (fma.f64 2/3 (.f64 n (.f64 (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (cbrt.f64 (cbrt.f64 -1)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)))))
(fma.f64 (.f64 n n) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) -1/9)) (fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 n (.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)))))
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1
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-1
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-1
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(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(fabs.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 n f) 2)) (pow.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))) 3)))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))) 3) (/.f64 1 (pow.f64 (-.f64 n f) 2))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))) 3) (pow.f64 (-.f64 n f) 2)))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 29 computations (39.6% saved)

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	f	@	inf	(.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2))
2.0ms	f	@	0	(*.f64 (/.f64 2 n) f)
1.0ms	n	@	-inf	(.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2))
0.0ms	f	@	inf	(*.f64 (/.f64 2 n) f)
0.0ms	n	@	0	(*.f64 (/.f64 2 n) f)

rewrite130.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	233	55
2	3308	55

Stop Event

1×	node limit

Counts

3 → 297

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1688×	`associate-/l*`
1324×	`associate-/l/`
962×	`associate-/r*`
816×	`associate-r`
754×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	722	16615
1	1888	15759

Stop Event

1×	node limit

Counts

369 → 481

Calls

Call 1

Inputs
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(+.f64 2 (*.f64 2 (/.f64 f n)))
2
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) 2)
2
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) 2)
2
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(*.f64 2 (/.f64 f n))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(*.f64 2 (/.f64 f n))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(+.f64 2 (*.f64 2 (/.f64 f n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 (/.f64 2 n) (/.f64 1 f))
(/.f64 f (*.f64 n 1/2))
(/.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (/.f64 f n) 1/2)
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 (sqrt.f64 f) (/.f64 (*.f64 n 1/2) (sqrt.f64 f)))
(/.f64 (cbrt.f64 f) (/.f64 (*.f64 n 1/2) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (pow.f64 (cbrt.f64 f) 2) (/.f64 (*.f64 n 1/2) (cbrt.f64 f)))
(/.f64 (*.f64 2 f) n)
(/.f64 -2 (/.f64 (neg.f64 n) f))
(/.f64 (neg.f64 f) (/.f64 (neg.f64 n) 2))
(/.f64 (sqrt.f64 (.f64 2 f)) (/.f64 n (sqrt.f64 (.f64 2 f))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 f)) (cbrt.f64 (.f64 2 f))) (/.f64 n (cbrt.f64 (.f64 2 f))))
(/.f64 (*.f64 2 (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 n (cbrt.f64 f)))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 f -2) (neg.f64 n))
(/.f64 (/.f64 f 1) (*.f64 n 1/2))
(/.f64 (/.f64 f 1/2) n)
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (sqrt.f64 n))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (cbrt.f64 n))
(/.f64 (*.f64 -2 f) (neg.f64 n))
(/.f64 (/.f64 (*.f64 2 f) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 2 (sqrt.f64 (/.f64 n f))) (sqrt.f64 (/.f64 n f)))
(/.f64 (/.f64 2 (*.f64 (cbrt.f64 (/.f64 n f)) (cbrt.f64 (/.f64 n f)))) (cbrt.f64 (/.f64 n f)))
(/.f64 (/.f64 2 (/.f64 1 (sqrt.f64 f))) (/.f64 n (sqrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 f) 2))) (/.f64 n (cbrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) 1)) (/.f64 (sqrt.f64 n) f))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) (sqrt.f64 f))) (/.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 f) 2))) (/.f64 (sqrt.f64 n) (cbrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1)) (/.f64 (cbrt.f64 n) f))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 f))) (/.f64 (cbrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 f) 2))) (/.f64 (cbrt.f64 n) (cbrt.f64 f)))
(/.f64 (/.f64 f (sqrt.f64 (.f64 n 1/2))) (sqrt.f64 (.f64 n 1/2)))
(/.f64 (/.f64 f (.f64 (cbrt.f64 (.f64 n 1/2)) (cbrt.f64 (.f64 n 1/2)))) (cbrt.f64 (.f64 n 1/2)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 2 (neg.f64 f)) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) -1) n)
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 f -2) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 f -2) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 f -2) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 f -2) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 f -2) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 f -2) -1) n)
(/.f64 (/.f64 (*.f64 f -2) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 f -2) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 f 1/2) 1) n)
(/.f64 (/.f64 (/.f64 f 1/2) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) 1) (sqrt.f64 n))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 n) f)) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) 1) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 n) 2) f)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 -2 f) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 -2 f) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 -2 f) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 -2 f) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 -2 f) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 -2 f) -1) n)
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(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (/.f64 f n)) (sqrt.f64 (fma.f64 (/.f64 2 n) f -2))) (sqrt.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (/.f64 f n)) (*.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)) (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 f n)) 1) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 f n)) (sqrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))) (sqrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 f n)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))) (cbrt.f64 (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) 1) (sqrt.f64 n))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (sqrt.f64 n) (fma.f64 (/.f64 2 n) f 2))) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) 1) (cbrt.f64 n))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 f (/.f64 (pow.f64 (cbrt.f64 n) 2) (fma.f64 (/.f64 2 n) f 2))) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (.f64 (neg.f64 f) (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4)) (neg.f64 n)) (fma.f64 (/.f64 2 n) f -2))
(/.f64 (/.f64 (.f64 (neg.f64 f) (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3))) (neg.f64 n)) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) f) (fma.f64 (/.f64 2 n) f -2)) n)
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) 1) (fma.f64 (/.f64 2 n) f -2)) (/.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (neg.f64 f)) (fma.f64 (/.f64 2 n) f -2)) (neg.f64 n))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) f) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) n)
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) 1) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (/.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (neg.f64 f)) (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (neg.f64 n))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) 1) (neg.f64 n))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (pow.f64 (cbrt.f64 n) 2)) (neg.f64 (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n)))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) -1) n)
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 2 n) f 2)) (neg.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 f n)) (fma.f64 (/.f64 2 n) f 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3) (pow.f64 (/.f64 f n) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 2 n) f 2))))
(fma.f64 (.f64 2 (/.f64 f n)) (/.f64 f n) (.f64 2 (/.f64 f n)))
(fma.f64 (/.f64 f n) (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 f n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2 n) f 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (fma.f64 (/.f64 2 n) f -2)) (/.f64 4 (fma.f64 (/.f64 2 n) f -2)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))) 1)
(*.f64 (fma.f64 (/.f64 2 n) f 2) 1)
(*.f64 1 (fma.f64 (/.f64 2 n) f 2))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 2 n) f 2)) (sqrt.f64 (fma.f64 (/.f64 2 n) f 2)))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f 2)) 2) (cbrt.f64 (fma.f64 (/.f64 2 n) f 2)))
(.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (/.f64 1 (fma.f64 (/.f64 2 n) f -2)))
(.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (/.f64 1 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(.f64 (/.f64 1 (fma.f64 (/.f64 2 n) f -2)) (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4))
(.f64 (/.f64 1 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)))
(*.f64 (+.f64 (/.f64 f n) 1) 2)
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -4)) (fma.f64 (/.f64 2 n) f 2))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (-.f64 (pow.f64 (.f64 2 (/.f64 f n)) 3) 8)) (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) (*.f64 2 (fma.f64 (/.f64 2 n) f 2))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (-.f64 (.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) (pow.f64 (.f64 2 (/.f64 f n)) 2)) (.f64 (-.f64 4 (.f64 (/.f64 2 n) (.f64 2 f))) (-.f64 4 (.f64 (/.f64 2 n) (.f64 2 f)))))) (+.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (.f64 (/.f64 2 n) (*.f64 2 f))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) 3) (pow.f64 (-.f64 4 (.f64 (/.f64 2 n) (.f64 2 f))) 3))) (+.f64 (.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) (pow.f64 (.f64 2 (/.f64 f n)) 2)) (.f64 (-.f64 4 (.f64 (/.f64 2 n) (.f64 2 f))) (-.f64 (-.f64 4 (.f64 (/.f64 2 n) (.f64 2 f))) (pow.f64 (.f64 2 (/.f64 f n)) 2)))))
(/.f64 1 (/.f64 1 (fma.f64 (/.f64 2 n) f 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -4) (fma.f64 (/.f64 2 n) f -2))
(/.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4)) (/.f64 (fma.f64 (/.f64 2 n) f -2) (sqrt.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3))) (/.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))) (sqrt.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4))) (/.f64 (fma.f64 (/.f64 2 n) f -2) (cbrt.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)))) (/.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 2 (/.f64 f n)) 3) (pow.f64 (.f64 2 (/.f64 f n)) 3)) 64) (.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))) (-.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 8)))
(/.f64 (-.f64 4 (pow.f64 (.f64 2 (/.f64 f n)) 2)) (-.f64 2 (.f64 2 (/.f64 f n))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) (pow.f64 (.f64 2 (/.f64 f n)) 2)) 16) (.f64 (fma.f64 (/.f64 2 n) f -2) (+.f64 4 (pow.f64 (*.f64 2 (/.f64 f n)) 2))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (.f64 2 (/.f64 f n)) 3) 3)) (.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))) (+.f64 (.f64 (pow.f64 (.f64 2 (/.f64 f n)) 3) (pow.f64 (.f64 2 (/.f64 f n)) 3)) (-.f64 64 (.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 8)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) 3) 64) (.f64 (fma.f64 (/.f64 2 n) f -2) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) (pow.f64 (.f64 2 (/.f64 f n)) 2)) 16) (.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) 4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -4)) (neg.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3))) (neg.f64 (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -4) 1) (fma.f64 (/.f64 2 n) f -2))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -4) (sqrt.f64 (fma.f64 (/.f64 2 n) f -2))) (sqrt.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 f n)) 2) -4) (.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)) (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (fma.f64 (/.f64 2 n) f -2)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) 1) (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (sqrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2))))) (sqrt.f64 (+.f64 4 (.f64 (*.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 2 (/.f64 f n)) 3)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))) (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))) (cbrt.f64 (+.f64 4 (.f64 (.f64 2 (/.f64 f n)) (fma.f64 (/.f64 2 n) f -2)))))
(pow.f64 (fma.f64 (/.f64 2 n) f 2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2 n) f 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 n) f 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2 n) f 2) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 2 n) f 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2 n) f 2))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2 n) f 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2 n) f 2)))
(exp.f64 (log.f64 (fma.f64 (/.f64 2 n) f 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2 n) f 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2 n) f 2)))
(fma.f64 (/.f64 2 n) f 2)
(fma.f64 f (/.f64 2 n) 2)
(fma.f64 1 (*.f64 2 (/.f64 f n)) 2)
(fma.f64 (sqrt.f64 (.f64 2 (/.f64 f n))) (sqrt.f64 (.f64 2 (/.f64 f n))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 f n))) 2) (cbrt.f64 (.f64 2 (/.f64 f n))) 2)

Outputs
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 2 (/.f64 f n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (.f64 2 f) (/.f64 (.f64 n n) f))
(.f64 (/.f64 (.f64 2 f) (*.f64 n n)) f)
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (.f64 2 f) (/.f64 (.f64 n n) f))
(.f64 (/.f64 (.f64 2 f) (*.f64 n n)) f)
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(.f64 2 (+.f64 (/.f64 f n) (/.f64 (.f64 f f) (*.f64 n n))))
(*.f64 f (/.f64 (fma.f64 2 (/.f64 f n) 2) n))
(+.f64 (.f64 2 (/.f64 f n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
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(+.f64 2 (pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 f n))) 2) (cbrt.f64 (.f64 2 (/.f64 f n))) 2)
(fma.f64 (/.f64 2 n) f 2)
(fma.f64 2 (/.f64 f n) 2)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite61.0ms (1.1%)

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	15
1	193	15
2	2456	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

((#(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)))))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/l*`
1032×	`associate-*r/`
994×	`associate-r`
946×	`associate-*l/`
798×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1299
1	202	1249
2	724	1205
3	3583	1085

Stop Event

1×	node limit

Counts

49 → 45

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.1%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1.0ms	n	@	inf	(*.f64 -2 (/.f64 n f))
1.0ms	n	@	0	(*.f64 -2 (/.f64 n f))
0.0ms	f	@	0	(*.f64 -2 (/.f64 n f))
0.0ms	f	@	inf	(*.f64 -2 (/.f64 n f))

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1992×	`add-sqr-sqrt`
1970×	`*-un-lft-identity`
1844×	`add-cube-cbrt`
1826×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	195	28
2	2487	28

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-r`
1242×	`associate-+r+`
1184×	`associate-l`
1058×	`associate-+l+`
476×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1322
1	293	1262
2	1180	1262
3	6529	1262

Stop Event

1×	node limit

Counts

64 → 65

Calls

Call 1

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

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

eval382.0ms (7.1%)

Compiler: Compiled 25479 to 14350 computations (43.7% saved)

prune332.0ms (6.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	985	2	987
Fresh	0	2	2
Picked	0	1	1
Done	2	2	4
Total	987	7	994

Error

Counts

994 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	30.6b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.9b	1
	31.1b	-1

Compiler

Compiled 61 to 41 computations (32.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-/l*`
1406×	`associate-/r/`
1062×	`*-commutative`
764×	`distribute-lft-in`
676×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	204	38
2	2999	38

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

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

Outputs

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

simplify128.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

812×	`*-commutative`
802×	`associate-r`
776×	`associate-/l*`
716×	`times-frac`
652×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	8221
1	1923	7909

Stop Event

1×	node limit

Counts

229 → 295

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
✓	0.3b	(/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))
	0.5b	(cbrt.f64 (-.f64 n f))
✓	0.6b	(pow.f64 (cbrt.f64 (-.f64 n f)) -2)

Compiler

Compiled 44 to 12 computations (72.7% saved)

series15.0ms (0.3%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(pow.f64 (cbrt.f64 (-.f64 n f)) -2)
3.0ms	n	@	0	(/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))
1.0ms	f	@	0	(pow.f64 (cbrt.f64 (-.f64 n f)) -2)
1.0ms	n	@	-inf	(/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))
1.0ms	n	@	-inf	(pow.f64 (cbrt.f64 (-.f64 n f)) -2)

rewrite92.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-/r/`
928×	`distribute-rgt-in`
890×	`distribute-lft-in`
662×	`associate-/l/`
284×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	85
1	270	69
2	3915	59

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

Outputs

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simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-r`
1150×	`*-commutative`
1106×	`associate-l`
796×	`associate-/l*`
564×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	817	13820
1	2594	13378

Stop Event

1×	node limit

Counts

240 → 401

Calls

Call 1

Inputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -2/3 (.f64 n (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 11)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 16)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 16)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))))) (+.f64 (.f64 -2/3 (.f64 n (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 11)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 16)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 16)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 16)) 1/3))))) (+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -4/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (.f64 -2 (.f64 (pow.f64 (/.f64 1 f) 1/3) (/.f64 (+.f64 (.f64 2/27 (.f64 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 6))) (pow.f64 1 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 1/27 (.f64 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 6))) (pow.f64 1 1/9))))) (cbrt.f64 -1)))))) (+.f64 (.f64 -2/3 (.f64 n (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 11)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 11)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3))
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 11)) 1/9))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (.f64 (pow.f64 f 2) (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9))))))
(+.f64 (.f64 2/3 (.f64 f (pow.f64 (/.f64 1 (pow.f64 n 11)) 1/9))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (+.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/27 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 1 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 1 1/9))))) (pow.f64 (/.f64 1 n) 1/3))) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 n) 1/3) (+.f64 (.f64 -1/27 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 1 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 1 1/9))))))) (.f64 4/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (.f64 (pow.f64 f 2) (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 n 16)) 1/9)))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (cbrt.f64 -1))
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(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))) -1)
(neg.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n)))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) 3))
(cbrt.f64 (/.f64 (-.f64 n f) (pow.f64 (+.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) n) (.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (.f64 (/.f64 1 (-.f64 n f)) f) (.f64 (/.f64 1 (-.f64 n f)) n))
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(+.f64 (.f64 1 (.f64 (/.f64 1 (-.f64 n f)) f)) (.f64 1 (.f64 (/.f64 1 (-.f64 n f)) n)))
(+.f64 (.f64 1 (.f64 n (/.f64 1 (-.f64 n f)))) (.f64 1 (.f64 f (/.f64 1 (-.f64 n f)))))
(+.f64 (.f64 1 (.f64 f (/.f64 1 (-.f64 n f)))) (.f64 1 (.f64 n (/.f64 1 (-.f64 n f)))))
(+.f64 (.f64 (.f64 (/.f64 1 (-.f64 n f)) 1) n) (.f64 (.f64 (/.f64 1 (-.f64 n f)) 1) f))
(+.f64 (.f64 (.f64 (/.f64 1 (-.f64 n f)) 1) f) (.f64 (.f64 (/.f64 1 (-.f64 n f)) 1) n))
(+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (neg.f64 f)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (neg.f64 n)))
(+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (neg.f64 n)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (neg.f64 f)))
(+.f64 (.f64 (.f64 (/.f64 1 (-.f64 n f)) n) 1) (.f64 (.f64 (/.f64 1 (-.f64 n f)) f) 1))
(+.f64 (.f64 (.f64 (/.f64 1 (-.f64 n f)) f) 1) (.f64 (.f64 (/.f64 1 (-.f64 n f)) n) 1))
(+.f64 (.f64 (.f64 n (/.f64 1 (-.f64 n f))) 1) (.f64 (.f64 f (/.f64 1 (-.f64 n f))) 1))
(+.f64 (.f64 (.f64 f (/.f64 1 (-.f64 n f))) 1) (.f64 (.f64 n (/.f64 1 (-.f64 n f))) 1))
(+.f64 (.f64 n (.f64 (/.f64 1 (-.f64 n f)) 1)) (.f64 f (.f64 (/.f64 1 (-.f64 n f)) 1)))
(+.f64 (.f64 f (.f64 (/.f64 1 (-.f64 n f)) 1)) (.f64 n (.f64 (/.f64 1 (-.f64 n f)) 1)))
(+.f64 (.f64 (neg.f64 f) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f))))) (.f64 (neg.f64 n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f))))))
(+.f64 (.f64 (neg.f64 n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f))))) (.f64 (neg.f64 f) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(.f64 (+.f64 n f) (/.f64 (+.f64 n f) (-.f64 (.f64 n n) (*.f64 f f))))
(.f64 (+.f64 n f) (/.f64 (fma.f64 n n (.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (+.f64 n f)))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (+.f64 n f)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 1 (+.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) -2))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (.f64 -1 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(.f64 (.f64 (/.f64 1 (-.f64 n f)) 1) (+.f64 n f))
(.f64 (.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(.f64 (.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (+.f64 n f)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(.f64 (.f64 1 (sqrt.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (-.f64 n f) 1/6)) (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (cbrt.f64 (-.f64 n f)))))
(.f64 (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 n f)))) (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (-.f64 (neg.f64 f) n))
(.f64 (.f64 -1 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)))
(.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) (cbrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (/.f64 1 (+.f64 n f))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) 1) (.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (cbrt.f64 (-.f64 n f))) (+.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) -1) (neg.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (neg.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(.f64 (/.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) (+.f64 n f)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -4)) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) 1) (+.f64 n f))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) -1) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) -1) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (-.f64 (neg.f64 f) n))
(.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (.f64 f (+.f64 n f))))
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) 1)) (+.f64 n f))
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (/.f64 (-.f64 (.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))
(.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(.f64 (/.f64 (+.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (+.f64 (.f64 n n) (-.f64 (.f64 (neg.f64 f) (neg.f64 f)) (.f64 n (neg.f64 f)))))
(.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (.f64 f (+.f64 n f)))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (-.f64 (.f64 (.f64 n n) (.f64 n n)) (.f64 (.f64 f (-.f64 f n)) (.f64 f (-.f64 f n))))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (pow.f64 (.f64 n n) 3) (pow.f64 (.f64 f (-.f64 f n)) 3))) (+.f64 (.f64 (.f64 n n) (.f64 n n)) (-.f64 (.f64 (.f64 f (-.f64 f n)) (.f64 f (-.f64 f n))) (.f64 (.f64 n n) (*.f64 f (-.f64 f n))))))
(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (+.f64 n f)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (+.f64 n f)) (cbrt.f64 (-.f64 (.f64 n n) (.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) 1) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (pow.f64 (-.f64 n f) 1/6)) (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) -1) (neg.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (neg.f64 (cbrt.f64 (-.f64 n f)))) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (neg.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) 1) (sqrt.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) (pow.f64 (-.f64 n f) 1/6)) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (sqrt.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (-.f64 (neg.f64 f) n)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)) -1)
(neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (+.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 3) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))

Outputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 f f))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -2/3 (.f64 n (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 f 11)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 -2/3 (.f64 n (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 f 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 11)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11))))) (.f64 (cbrt.f64 (/.f64 1 (*.f64 f f))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))
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(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) -1) (neg.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (neg.f64 (cbrt.f64 (-.f64 n f)))) (-.f64 (neg.f64 f) n))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (cbrt.f64 (-.f64 n f))) (sqrt.f64 (+.f64 f n))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) (sqrt.f64 (+.f64 f n))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (cbrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 1) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (neg.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (neg.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f)))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) 1) (sqrt.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) (pow.f64 (-.f64 n f) 1/6)) (sqrt.f64 (+.f64 n f)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))) (sqrt.f64 (+.f64 f n))) (pow.f64 (-.f64 n f) 1/6))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (-.f64 n f) 1/6)) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (sqrt.f64 (-.f64 (neg.f64 f) n)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))) (sqrt.f64 (-.f64 (neg.f64 f) n))) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n))) (sqrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f)))))) (sqrt.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n))) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (cbrt.f64 (+.f64 n f)))
(.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n))) 2))))
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n))) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f))) 2)) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (-.f64 (neg.f64 f) n)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n))) 2)) (cbrt.f64 (-.f64 (neg.f64 f) n))) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (cbrt.f64 (neg.f64 (cbrt.f64 (-.f64 n f))))) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n))) 2)) (cbrt.f64 (-.f64 (neg.f64 f) n)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))) (+.f64 n f)))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (neg.f64 (cbrt.f64 (-.f64 n f)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 3) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) 3) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

eval316.0ms (5.9%)

Compiler: Compiled 22288 to 10054 computations (54.9% saved)

prune133.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	811	1	812
Fresh	0	2	2
Picked	1	0	1
Done	0	4	4
Total	812	7	819

Error

Counts

819 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
▶	0.1b	(/.f64 1 (+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))))
✓	30.6b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.9b	1
	31.1b	-1

Compiler

Compiled 62 to 43 computations (30.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 21 computations (63.8% saved)

series14.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	n	@	inf	(*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))
1.0ms	n	@	inf	(/.f64 1 (+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))))
0.0ms	f	@	-inf	(/.f64 1 (+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))))
0.0ms	f	@	inf	(/.f64 1 (+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))))
0.0ms	n	@	-inf	(/.f64 1 (+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))))

rewrite154.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`associate-/l*`
1002×	`distribute-lft-in`
618×	`associate-/l/`
298×	`add-sqr-sqrt`
292×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	288	64
2	4335	64

Stop Event

1×	node limit

Counts

4 → 466

Calls

Call 1

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

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

simplify199.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1090×	`+-commutative`
926×	`associate-+r+`
846×	`associate-+l+`
816×	`*-commutative`
814×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1010	24690
1	3256	23260

Stop Event

1×	node limit

Counts

562 → 701

Calls

Call 1

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

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

eval228.0ms (4.2%)

Compiler: Compiled 19171 to 6862 computations (64.2% saved)

prune155.0ms (2.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	700	1	701
Fresh	0	2	2
Picked	1	0	1
Done	0	4	4
Total	701	7	708

Error

Counts

708 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
	0.1b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (*.f64 f (/.f64 1 (+.f64 n f)))))
✓	30.6b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.3b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.9b	1
	31.1b	-1

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes20.0ms (0.4%)

Counts

12 → 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 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (*.f64 f (/.f64 1 (+.f64 n f)))))
(/.f64 1 (+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))

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

Calls

3 calls:

8.0ms	f
7.0ms	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 134 to 67 computations (50% saved)

regimes42.0ms (0.8%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	f
15.0ms	n

Results

Error	Segments	Branch
11.9b	7	`f`
14.8b	3	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch84.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
16.0ms	0.1830309639084708	28097279.180785473
13.0ms	-1.470927931528185e-129	-5.706969096461066e-132
14.0ms	-5.51013682752482e-100	-3.657832554569443e-103
10.0ms	-2.398063015211807e-35	-4.743578243274491e-36
13.0ms	-1.4232646566783528e+50	-2.0318859954296914e+46
17.0ms	-3.9351944745773605e+114	-4.876999528710721e+104

Results

74.0ms

784×

body

256

valid

Compiler

Compiled 887 to 722 computations (18.6% saved)

regimes44.0ms (0.8%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	f
19.0ms	n

Results

Error	Segments	Branch
12.1b	7	`f`
14.2b	5	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch82.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	0.1830309639084708	28097279.180785473
14.0ms	-1.470927931528185e-129	-5.706969096461066e-132
13.0ms	-5.51013682752482e-100	-3.657832554569443e-103
10.0ms	-2.398063015211807e-35	-4.743578243274491e-36
13.0ms	-1.4232646566783528e+50	-2.0318859954296914e+46
14.0ms	-7.256811755568278e+125	-2.26495920242315e+122

Results

72.0ms

752×

body

256

valid

Compiler

Compiled 577 to 510 computations (11.6% saved)

regimes33.0ms (0.6%)

Accuracy

Total -50.6b remaining (-407.2%)

Threshold costs -50.6b (-407.2%)

Counts

2 → 7

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1
1
-1
1
-1

Calls

2 calls:

19.0ms	f
13.0ms	n

Results

Error	Segments	Branch
12.4b	7	`f`
15.4b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch69.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
14.0ms	0.1830309639084708	28097279.180785473
14.0ms	-1.470927931528185e-129	-5.706969096461066e-132
14.0ms	-5.51013682752482e-100	-3.657832554569443e-103
9.0ms	-2.398063015211807e-35	-4.743578243274491e-36
3.0ms	-1.4232646566783528e+50	-2.0318859954296914e+46
13.0ms	-7.256811755568278e+125	-2.26495920242315e+122

Results

61.0ms

656×

body

256

valid

Compiler

Compiled 343 to 338 computations (1.5% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`not-or`
30×	`if-not`
24×	`not-not`
22×	`if-if-or-not`
10×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	335
1	90	317
2	103	305
3	122	297
4	136	297
5	153	297
6	162	297
7	169	297
8	173	297
9	176	297

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 720) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (.f64 -2 (/.f64 n f)) 1)))))))
(if (<=.f64 f -13000000000000000150581340778347415940031407766734673139037561114922362539184975681301457473928682361345409984066499375005696) -1 (if (<=.f64 f -8999999999999999907834756918045686016972398002176) 1 (if (<=.f64 f -4022052505934645/187072209578355573530071658587684226515959365500928) -1 (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 f 115) (+.f64 (.f64 2 (/.f64 f n)) 1) -1))))))
(if (<=.f64 f -230000000000000005148166837858470196129813999400181457568790315686272431249061174251323793409958695441177348009681886380032) -1 (if (<=.f64 f -100000000000000007629769841091887003294964970946560) 1 (if (<=.f64 f -1730417938599789/93536104789177786765035829293842113257979682750464) -1 (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) 1 (if (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 f 24) 1 -1))))))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 720) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (.f64 -2 (/.f64 n f)) 1)))))))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 1 (.f64 2 (/.f64 f n))) (if (or (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (not (<=.f64 f 720))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n))))))))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (or (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (not (or (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (not (<=.f64 f 720))))) (+.f64 1 (.f64 2 (/.f64 f n))) (+.f64 (.f64 -2 (/.f64 n f)) -1)))))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (or (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (not (or (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (not (or (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (not (<=.f64 f 720))))))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n))))))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (or (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (not (or (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (and (not (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352)) (<=.f64 f 720))))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n))))))
(if (<=.f64 f -489999999999999985024337226896815131773586071661677202250276896638568910765107229839901806701940341473280) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -79999999999999995719222155803854345574979318317056) 1 (if (or (<=.f64 f -1982965421530569/187072209578355573530071658587684226515959365500928) (and (not (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896)) (or (<=.f64 f -6742976868682543/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (not (<=.f64 f 720))))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n))))))
(if (<=.f64 f -13000000000000000150581340778347415940031407766734673139037561114922362539184975681301457473928682361345409984066499375005696) -1 (if (<=.f64 f -8999999999999999907834756918045686016972398002176) 1 (if (<=.f64 f -4022052505934645/187072209578355573530071658587684226515959365500928) -1 (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 f 115) (+.f64 (.f64 2 (/.f64 f n)) 1) -1))))))
(if (<=.f64 f -13000000000000000150581340778347415940031407766734673139037561114922362539184975681301457473928682361345409984066499375005696) -1 (if (<=.f64 f -8999999999999999907834756918045686016972398002176) 1 (if (<=.f64 f -4022052505934645/187072209578355573530071658587684226515959365500928) -1 (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 f 115) (+.f64 1 (.f64 2 (/.f64 f n))) -1))))))
(if (<=.f64 f -13000000000000000150581340778347415940031407766734673139037561114922362539184975681301457473928682361345409984066499375005696) -1 (if (<=.f64 f -8999999999999999907834756918045686016972398002176) 1 (if (<=.f64 f -4022052505934645/187072209578355573530071658587684226515959365500928) -1 (if (or (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (not (or (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (not (<=.f64 f 115))))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))))
(if (<=.f64 f -13000000000000000150581340778347415940031407766734673139037561114922362539184975681301457473928682361345409984066499375005696) -1 (if (<=.f64 f -8999999999999999907834756918045686016972398002176) 1 (if (<=.f64 f -4022052505934645/187072209578355573530071658587684226515959365500928) -1 (if (or (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (and (not (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176)) (<=.f64 f 115))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))))
(if (<=.f64 f -230000000000000005148166837858470196129813999400181457568790315686272431249061174251323793409958695441177348009681886380032) -1 (if (<=.f64 f -100000000000000007629769841091887003294964970946560) 1 (if (<=.f64 f -1730417938599789/93536104789177786765035829293842113257979682750464) -1 (if (<=.f64 f -3732158026922485/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) 1 (if (<=.f64 f -4526535397958189/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 f 24) 1 -1))))))
-1

Compiler

Compiled 133 to 102 computations (23.3% saved)

soundness317.0ms (5.9%)

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)

end66.0ms (1.2%)

Compiler: Compiled 125 to 93 computations (25.6% saved)

Iter	Nodes	Cost
0	68	335
1	90	317
2	103	305
3	122	297
4	136	297
5	153	297
6	162	297
7	169	297
8	173	297
9	176	297

Iter	Nodes	Cost
0	68	335
1	90	317
2	103	305
3	122	297
4	136	297
5	153	297
6	162	297
7	169	297
8	173	297
9	176	297

Details

analyze78.0ms (1.4%)

sample714.0ms (13.2%)

preprocess174.0ms (3.2%)

simplify129.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite65.0ms (1.2%)

simplify73.0ms (1.4%)

eval57.0ms (1.1%)

prune50.0ms (0.9%)

localize16.0ms (0.3%)

series21.0ms (0.4%)

rewrite162.0ms (3%)

simplify91.0ms (1.7%)

localize18.0ms (0.3%)

series9.0ms (0.2%)

rewrite130.0ms (2.4%)

simplify146.0ms (2.7%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (1.1%)

simplify60.0ms (1.1%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite61.0ms (1.1%)

simplify83.0ms (1.5%)

eval382.0ms (7.1%)

prune332.0ms (6.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.5%)

simplify128.0ms (2.4%)

localize13.0ms (0.2%)

series15.0ms (0.3%)

rewrite92.0ms (1.7%)

simplify129.0ms (2.4%)

eval316.0ms (5.9%)

prune133.0ms (2.5%)

localize16.0ms (0.3%)

series14.0ms (0.3%)

rewrite154.0ms (2.9%)

simplify199.0ms (3.7%)

eval228.0ms (4.2%)

prune155.0ms (2.9%)

regimes20.0ms (0.4%)

regimes42.0ms (0.8%)

bsearch84.0ms (1.5%)

regimes44.0ms (0.8%)

bsearch82.0ms (1.5%)

regimes33.0ms (0.6%)

bsearch69.0ms (1.3%)

simplify18.0ms (0.3%)

soundness317.0ms (5.9%)

end66.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	68	335
1	90	317
2	103	305
3	122	297
4	136	297
5	153	297
6	162	297
7	169	297
8	173	297
9	176	297