Details

analyze73.0ms (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)

sample739.0ms (14.1%)

Results

729.0ms

8256×

body

256

valid

Bogosity

preprocess154.0ms (2.9%)

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)

simplify136.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.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
✓	0.1b	(/.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	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	f	@	0	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite110.0ms (2.1%)

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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simplify79.0ms (1.5%)

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))

eval64.0ms (1.2%)

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

prune22.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Error

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	31.0b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
▶	32.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	30.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	30.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
▶	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	31.2b	1
	33.8b	-1

Compiler

Compiled 141 to 97 computations (31.2% saved)

localize47.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

Outputs
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Outputs

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simplify127.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	9408
1	1811	8264

Stop Event

1×	node limit

Counts

222 → 310

Calls

Call 1

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

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

localize9.0ms (0.2%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 48 to 29 computations (39.6% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite91.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 242

Calls

Call 1

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

Outputs

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

simplify168.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

290 → 344

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 f n) (-.f64 (neg.f64 f) n))
✓	3.3b	(-.f64 (.f64 n n) (.f64 f f))
✓	30.4b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))

Compiler

Compiled 59 to 11 computations (81.4% saved)

series10.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	f	@	inf	(-.f64 (.f64 n n) (.f64 f f))
0.0ms	f	@	inf	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
0.0ms	f	@	0	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
0.0ms	n	@	inf	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
0.0ms	f	@	-inf	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))

rewrite218.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	89
1	327	45
2	5786	45

Stop Event

1×	node limit

Counts

3 → 956

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (pow.f64 (+.f64 f n) 2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (pow.f64 (+.f64 f n) 2)) (/.f64 0 (pow.f64 (+.f64 f n) 2))) (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (pow.f64 (+.f64 f n) 2)) (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (*.f64 (+.f64 f n) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 f 4) (pow.f64 n 4)) (*.f64 (/.f64 1 (pow.f64 (+.f64 f n) 2)) (/.f64 1 (pow.f64 (+.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 f n) 2) (/.f64 1 (pow.f64 (+.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 f n) 2) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (*.f64 f f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (-.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (+.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (+.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (*.f64 -1 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (*.f64 -1 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (neg.f64 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (neg.f64 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 n) n (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 n) n (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 (*.f64 n n)) 1 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 (*.f64 n n)) 1 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (*.f64 f f) 1 (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (*.f64 f f) 1 (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (pow.f64 f 4)) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (pow.f64 f 4)) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f n) (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify319.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-+l-`
1176×	`associate--l+`
932×	`associate--r+`
892×	`associate-+r-`
884×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1131	42242
1	3233	42018

Stop Event

1×	node limit

Counts

1028 → 846

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (.f64 2 (.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 2) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (+.f64 (.f64 n n) (.f64 n n)) (*.f64 f f))) (fma.f64 -2 (/.f64 n f) -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 2) (.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (+.f64 (.f64 n n) (.f64 n n)) (.f64 f f)) (.f64 -2 (/.f64 n f)))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (.f64 n n) (*.f64 f f))))
(+.f64 (/.f64 (neg.f64 (.f64 n n)) (.f64 f f)) (-.f64 (fma.f64 -2 (/.f64 n f) -1) (/.f64 (.f64 n n) (.f64 f f))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (.f64 n n) (.f64 f f)) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (.f64 n n) (*.f64 f f))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(-.f64 (+.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)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 f f)) (.f64 f f)) (*.f64 n n))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 f f)) (.f64 f f)) (*.f64 n n)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
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(fma.f64 1 (.f64 f f) (.f64 n (neg.f64 n)))
(fma.f64 1 (pow.f64 (+.f64 f n) 2) (fma.f64 f f (*.f64 f f)))
(fma.f64 f f (fma.f64 f f (pow.f64 (+.f64 f n) 2)))
(fma.f64 (cbrt.f64 (pow.f64 f 4)) (pow.f64 (cbrt.f64 f) 2) (neg.f64 (*.f64 n n)))
(fma.f64 (cbrt.f64 (pow.f64 f 4)) (pow.f64 (cbrt.f64 f) 2) (*.f64 n (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) 2) (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (fma.f64 f f (*.f64 f f)))
(fma.f64 f f (fma.f64 f f (pow.f64 (+.f64 f n) 2)))
(fma.f64 (cbrt.f64 (pow.f64 n 4)) (pow.f64 (cbrt.f64 n) 2) (*.f64 f f))

eval587.0ms (11.2%)

Compiler: Compiled 38096 to 14582 computations (61.7% saved)

prune478.0ms (9.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1526	2	1528
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	1526	10	1536

Error

Counts

1536 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	31.0b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
▶	0.1b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	32.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	30.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	30.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	31.2b	1
	33.8b	-1

Compiler

Compiled 102 to 67 computations (34.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite101.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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(#(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))))))))

simplify123.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	708	15451
1	2323	14403

Stop Event

1×	node limit

Counts

305 → 464

Calls

Call 1

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

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

localize11.0ms (0.2%)

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	@	inf	(/.f64 (-.f64 n f) (+.f64 n f))
0.0ms	n	@	0	(/.f64 (-.f64 n f) (+.f64 n f))
0.0ms	n	@	-inf	(/.f64 (-.f64 n f) (+.f64 n f))
0.0ms	f	@	-inf	(/.f64 (-.f64 n f) (+.f64 n f))
0.0ms	f	@	0	(/.f64 (-.f64 n f) (+.f64 n f))

rewrite87.0ms (1.7%)

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))))))))

simplify100.0ms (1.9%)

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

eval212.0ms (4%)

Compiler: Compiled 18383 to 6059 computations (67% saved)

prune154.0ms (2.9%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	759	0	759
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	759	10	769

Error

Counts

769 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	31.0b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	32.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	30.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	30.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	31.2b	1
	33.8b	-1

Compiler

Compiled 102 to 67 computations (34.3% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	8	8
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	31.0b	(/.f64 (.f64 (+.f64 f n) (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 (.f64 n n) (*.f64 f f))))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	32.9b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	30.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	30.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 (.f64 (/.f64 2 n) f) 2)))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	31.2b	1
	33.8b	-1

Compiler

Compiled 102 to 67 computations (34.3% saved)

regimes21.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	n
6.0ms	f
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 108 to 56 computations (48.1% saved)

regimes27.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	n
5.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.1b	1	`f`
0.1b	1	`n`
0.1b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 67 to 37 computations (44.8% saved)

regimes16.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	f
5.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.1b	1	`f`
0.1b	1	`n`
0.1b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 58 to 33 computations (43.1% saved)

regimes44.0ms (0.8%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	n
20.0ms	f

Results

Error	Segments	Branch
10.6b	5	`f`
15.8b	5	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch62.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	2.1100159196454986e+72	9.454480146284057e+81
14.0ms	-8.712847839930548e-74	-8.193627386538328e-78
10.0ms	-3.5536128206205577e-22	-4.5526146751986855e-23
21.0ms	-1.8546853666006623e+38	-7.826191918432333e+37

Results

55.0ms

464×

body

256

valid

Compiler

Compiled 595 to 474 computations (20.3% saved)

regimes34.0ms (0.6%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	f
16.0ms	n

Results

Error	Segments	Branch
11.0b	5	`f`
16.2b	5	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch49.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	2.1100159196454986e+72	9.454480146284057e+81
13.0ms	-8.712847839930548e-74	-8.193627386538328e-78
11.0ms	-3.5536128206205577e-22	-4.5526146751986855e-23
8.0ms	-1.8546853666006623e+38	-7.826191918432333e+37

Results

43.0ms

464×

body

256

valid

Compiler

Compiled 421 to 358 computations (15% saved)

regimes36.0ms (0.7%)

Accuracy

Total -51.2b remaining (-432.9%)

Threshold costs -51.2b (-432.9%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1
1
-1

Calls

2 calls:

20.0ms	n
15.0ms	f

Results

Error	Segments	Branch
11.8b	5	`f`
15.7b	7	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch37.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	2.1100159196454986e+72	9.454480146284057e+81
15.0ms	-8.712847839930548e-74	-8.193627386538328e-78
10.0ms	-3.5536128206205577e-22	-4.5526146751986855e-23
8.0ms	-1.8546853666006623e+38	-7.826191918432333e+37

Results

33.0ms

352×

body

256

valid

Compiler

Compiled 191 to 186 computations (2.6% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`not-or`
18×	`not-not`
18×	`if-if-or-not`
18×	`if-not`
12×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	313
1	85	295
2	98	283
3	118	275
4	131	275
5	143	275
6	146	275
7	149	275

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -111999999999999992945195178715898707968) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -4572544305500111/21267647932558653966460912964485513216) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -5092589940836215/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 2150000000000000065525351309200412878098030378871780370858543625447407616) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))
(if (<=.f64 f -84999999999999999030961646511557967872) -1 (if (<=.f64 f -584860318145363/5316911983139663491615228241121378304) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) -1 (if (<=.f64 f 8999999999999999690375727769984913086383436636424530287095722668009193472) (+.f64 (.f64 2 (/.f64 f n)) 1) -1))))
(if (<=.f64 f -79999999999999996310101265616969138176) -1 (if (<=.f64 f -7443676776395529/42535295865117307932921825928971026432) 1 (if (<=.f64 f -5410876812138479/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) -1 (if (<=.f64 f 999999999999999926539781176481198923508803215199467887262646419780362305536) 1 -1))))
-1

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 f -111999999999999992945195178715898707968) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -4572544305500111/21267647932558653966460912964485513216) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -5092589940836215/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 2150000000000000065525351309200412878098030378871780370858543625447407616) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))
(if (<=.f64 f -111999999999999992945195178715898707968) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -4572544305500111/21267647932558653966460912964485513216) (+.f64 1 (.f64 2 (/.f64 f n))) (if (or (<=.f64 f -5092589940836215/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (not (<=.f64 f 2150000000000000065525351309200412878098030378871780370858543625447407616))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (.f64 2 (/.f64 f n))))))
(if (<=.f64 f -111999999999999992945195178715898707968) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (or (<=.f64 f -4572544305500111/21267647932558653966460912964485513216) (not (or (<=.f64 f -5092589940836215/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (not (<=.f64 f 2150000000000000065525351309200412878098030378871780370858543625447407616))))) (+.f64 1 (.f64 2 (/.f64 f n))) (+.f64 (*.f64 -2 (/.f64 n f)) -1)))
(if (or (<=.f64 f -111999999999999992945195178715898707968) (not (or (<=.f64 f -4572544305500111/21267647932558653966460912964485513216) (not (or (<=.f64 f -5092589940836215/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (not (<=.f64 f 2150000000000000065525351309200412878098030378871780370858543625447407616))))))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (.f64 2 (/.f64 f n))))
(if (or (<=.f64 f -111999999999999992945195178715898707968) (not (or (<=.f64 f -4572544305500111/21267647932558653966460912964485513216) (and (not (<=.f64 f -5092589940836215/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168)) (<=.f64 f 2150000000000000065525351309200412878098030378871780370858543625447407616))))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (.f64 2 (/.f64 f n))))
(if (<=.f64 f -84999999999999999030961646511557967872) -1 (if (<=.f64 f -584860318145363/5316911983139663491615228241121378304) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) -1 (if (<=.f64 f 8999999999999999690375727769984913086383436636424530287095722668009193472) (+.f64 (.f64 2 (/.f64 f n)) 1) -1))))
(if (<=.f64 f -84999999999999999030961646511557967872) -1 (if (<=.f64 f -584860318145363/5316911983139663491615228241121378304) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 f -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) -1 (if (<=.f64 f 8999999999999999690375727769984913086383436636424530287095722668009193472) (+.f64 1 (.f64 2 (/.f64 f n))) -1))))
(if (<=.f64 f -84999999999999999030961646511557967872) -1 (if (or (<=.f64 f -584860318145363/5316911983139663491615228241121378304) (not (or (<=.f64 f -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (not (<=.f64 f 8999999999999999690375727769984913086383436636424530287095722668009193472))))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 f -84999999999999999030961646511557967872) -1 (if (or (<=.f64 f -584860318145363/5316911983139663491615228241121378304) (and (not (<=.f64 f -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752)) (<=.f64 f 8999999999999999690375727769984913086383436636424530287095722668009193472))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 f -79999999999999996310101265616969138176) -1 (if (<=.f64 f -7443676776395529/42535295865117307932921825928971026432) 1 (if (<=.f64 f -5410876812138479/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) -1 (if (<=.f64 f 999999999999999926539781176481198923508803215199467887262646419780362305536) 1 -1))))
-1

Compiler

Compiled 121 to 88 computations (27.3% saved)

soundness327.0ms (6.2%)

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)

end76.0ms (1.5%)

Compiler: Compiled 109 to 72 computations (33.9% saved)

Details

analyze73.0ms (1.4%)

sample739.0ms (14.1%)

preprocess154.0ms (2.9%)

simplify136.0ms (2.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite110.0ms (2.1%)

simplify79.0ms (1.5%)

eval64.0ms (1.2%)

prune22.0ms (0.4%)

localize47.0ms (0.9%)

series2.0ms (0%)

rewrite81.0ms (1.5%)

simplify127.0ms (2.4%)

localize9.0ms (0.2%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite78.0ms (1.5%)

simplify46.0ms (0.9%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

rewrite91.0ms (1.7%)

simplify168.0ms (3.2%)

localize15.0ms (0.3%)

series10.0ms (0.2%)

rewrite218.0ms (4.2%)

simplify319.0ms (6.1%)

eval587.0ms (11.2%)

prune478.0ms (9.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite101.0ms (1.9%)

simplify123.0ms (2.3%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite87.0ms (1.7%)

simplify100.0ms (1.9%)

eval212.0ms (4%)

prune154.0ms (2.9%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes21.0ms (0.4%)

regimes27.0ms (0.5%)

regimes16.0ms (0.3%)

regimes44.0ms (0.8%)

bsearch62.0ms (1.2%)

regimes34.0ms (0.6%)

bsearch49.0ms (0.9%)

regimes36.0ms (0.7%)

bsearch37.0ms (0.7%)

simplify14.0ms (0.3%)

soundness327.0ms (6.2%)

end76.0ms (1.5%)

Profiling