Details

analyze154.0ms (3.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
56.2%	43.7%	0.1%	8
71%	28.9%	0.1%	9
76.5%	23.4%	0.1%	10
84.9%	15%	0.1%	11
87.8%	12.1%	0.1%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (22.5%)

Results

989.0ms

8256×

body

256

valid

preprocess127.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

762×	`fma-neg_binary64`
504×	`fma-def_binary64`
427×	`times-frac_binary64`
366×	`div-sub_binary64`
224×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	29	24
2	55	24
3	116	24
4	271	24
5	568	20
6	1410	20
7	3565	20
8	4602	20
9	4909	20
10	5050	20
11	5088	20
12	5098	20
13	5098	20
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 (neg.f64 f) n) (-.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 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify111.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
451×	`times-frac_binary64`
308×	`div-sub_binary64`
194×	`associate-/l*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	330	12
6	818	10
7	2533	10
8	3446	10
9	4154	10
10	4275	10
11	4318	10
12	4328	10
13	4328	10

Stop Event

1×

saturated

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 33 to 14 computations (57.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2313	10

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

Outputs

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

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64`
620×	`fma-def_binary64`
608×	`associate-/l*_binary64`
439×	`associate-/r*_binary64`
318×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1015
1	498	922
2	1791	802

Stop Event

1×	node limit

Counts

58 → 81

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

eval35.0ms (0.8%)

Compiler: Compiled 1319 to 557 computations (57.8% saved)

prune13.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	7	82

Error

Counts

82 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
▶	31.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	32.1b	1
	33.2b	-1

Compiler

Compiled 58 to 40 computations (31% saved)

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series12.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	f	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
2.0ms	n	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`prod-diff_binary64`
596×	`unpow-prod-down_binary64`
425×	`log-prod_binary64`
317×	`fma-def_binary64`
227×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	166	22
2	2520	22

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs
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Outputs

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

simplify114.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-neg_binary64`
302×	`log-prod_binary64`
248×	`cube-prod_binary64`
225×	`associate-r_binary64`
219×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	3636
1	1535	3273
2	5686	3214

Stop Event

1×	node limit

Counts

170 → 263

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1)
(+.f64 0 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(-.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(*.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2) 3) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (+.f64 1 (*.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1) (+.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))
(fma.f64 1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) -1)
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.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 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))) 1))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (pow.f64 (/.f64 1 (neg.f64 (-.f64 n f))) 1))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (/.f64 1 (+.f64 f n)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.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 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.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 (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 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.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 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (.f64 n n)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) 1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (pow.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) 1) (pow.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) 1))
(.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) 1) (+.f64 f n))
(.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) 1) (fma.f64 f (+.f64 f n) (.f64 n n)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) 2) -1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 f n)) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))
(.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 1 (fma.f64 f f (.f64 n (-.f64 n f)))))
(.f64 (pow.f64 (/.f64 (-.f64 n f) (-.f64 (.f64 f f) (*.f64 n n))) -1) (/.f64 1 (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.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 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) 1) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (.f64 n (-.f64 n f))))
(/.f64 (.f64 (-.f64 (.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (E.f64) (fma.f64 2 (/.f64 (E.f64) (/.f64 n f)) -1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (.f64 n n)) (+.f64 (E.f64) (.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (*.f64 n n)) (fma.f64 2 (/.f64 (E.f64) (/.f64 n f)) (E.f64))) -1)
(+.f64 (fma.f64 2 (/.f64 (E.f64) (/.f64 n f)) (E.f64)) (fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (*.f64 n n)) -1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (.f64 n n)) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1)
(fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (.f64 n n)) (+.f64 (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 2 (/.f64 (E.f64) (/.f64 n f)))) (expm1.f64 1)))
(fma.f64 4 (/.f64 (.f64 (E.f64) (.f64 f f)) (.f64 n n)) (+.f64 (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 (/.f64 n f) 3)) (.f64 2 (/.f64 (E.f64) (/.f64 n f)))) (expm1.f64 1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (/.f64 (.f64 f f) (exp.f64 -1))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)) (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (*.f64 n -2))) f)))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (/.f64 (.f64 f f) (exp.f64 -1))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1))
(+.f64 (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2))) f)) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (pow.f64 n 3) -2))) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
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(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
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(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
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(-.f64 (E.f64) 1)
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(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
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(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
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1
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(fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1))
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(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 f n) (fma.f64 2 (/.f64 (.f64 f f) (.f64 n n)) 1)))
-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))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
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(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 n f) (/.f64 n f))) (/.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)))
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-1
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(-.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)
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(fma.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) -1)
-1
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(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
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1
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(-.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)))
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1
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(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(.f64 (cbrt.f64 (.f64 (+.f64 f n) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 7) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 5)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) 2) -1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)) -1))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 f n)) -1))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))) -1))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n)))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (+.f64 f n))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (+.f64 f n))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) -1))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n)))) (/.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n)))))
(/.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (+.f64 f n)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -2)
(.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 1 (fma.f64 f f (.f64 n (-.f64 n f)))))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (/.f64 1 (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(.f64 (pow.f64 (/.f64 (-.f64 n f) (-.f64 (.f64 f f) (*.f64 n n))) -1) (/.f64 1 (-.f64 f n)))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (-.f64 (.f64 f f) (*.f64 n n)))) (/.f64 1 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.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 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (/.f64 1 (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (-.f64 (.f64 f f) (*.f64 n n)))) (/.f64 1 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (/.f64 1 (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) 1) (.f64 (-.f64 f n) (-.f64 n f)))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (-.f64 (.f64 f f) (*.f64 n n)))) (/.f64 1 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (.f64 n (-.f64 n f))))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (/.f64 1 (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 (-.f64 (.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(.f64 (/.f64 1 (/.f64 (-.f64 n f) (-.f64 (.f64 f f) (*.f64 n n)))) (/.f64 1 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(fabs.f64 (/.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 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.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 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(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))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series8.0ms (0.2%)

Counts

2 → 15

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(*.f64 2 (/.f64 f n))
1.0ms	n	@	0	(*.f64 2 (/.f64 f n))
1.0ms	f	@	inf	(*.f64 2 (/.f64 f n))
1.0ms	f	@	0	(+.f64 (*.f64 2 (/.f64 f n)) 1)
1.0ms	f	@	inf	(+.f64 (*.f64 2 (/.f64 f n)) 1)

rewrite80.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`pow1_binary64`
805×	`add-log-exp_binary64`
805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	172	15
2	2204	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Rules

623×	`times-frac_binary64`
426×	`fma-def_binary64`
368×	`log-prod_binary64`
304×	`log-div_binary64`
292×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	822
1	279	797
2	1000	722
3	7010	722

Stop Event

1×	node limit

Counts

68 → 61

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
	0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
✓	0.0b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)

Compiler

Compiled 36 to 9 computations (75% saved)

series35.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	n	@	0	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
6.0ms	n	@	inf	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
5.0ms	f	@	inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
5.0ms	n	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
4.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
457×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
315×	`fma-def_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	212	22
2	2813	22

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(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 (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 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (*.f64 (cbrt.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 (pow.f64 (+.f64 f n) 2)) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.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 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.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 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(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 (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 (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 (pow.f64 (-.f64 n f) -1/2) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f 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 f (+.f64 f n) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 f n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (+.f64 f n))) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -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 n f) (+.f64 f n)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.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 log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (+.f64 f n))) (cbrt.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 f n))) (neg.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))))))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-def_binary64`
522×	`associate-r_binary64`
443×	`associate-l_binary64`
300×	`associate-+r+_binary64`
268×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	649	4294973799
1	2055	5890

Stop Event

1×	node limit

Counts

140 → 223

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 (.f64 2/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) 1)
(-.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (cbrt.f64 -1)))) (cbrt.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 2/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2))))))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (cbrt.f64 -1)))) (cbrt.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 2/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (-.f64 (.f64 -1 n) n)))))) (cbrt.f64 -1))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (-.f64 (.f64 -1 n) n))))) (cbrt.f64 -1)) (pow.f64 f 3)) (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (cbrt.f64 -1)))) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -2/9 (.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2))) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (-.f64 (.f64 -1 n) n)))))) (pow.f64 f 3))))))))))) 1)
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (-.f64 n (.f64 -1 n)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (-.f64 n (*.f64 -1 n))))) f)) 1)
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (-.f64 n (.f64 -1 n)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (-.f64 n (.f64 -1 n))))) f)) (+.f64 (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))))) (pow.f64 f 2)) (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) 1)
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (-.f64 n (.f64 -1 n)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (-.f64 n (.f64 -1 n))))) f)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/3 (.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (-.f64 n (.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (-.f64 n (.f64 -1 n)) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))))))) (+.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/3 (.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (-.f64 n (.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (cbrt.f64 -1))) (.f64 -2/9 (.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (-.f64 n (.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))))) (.f64 -2/9 (.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (-.f64 n (.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))) (pow.f64 f 3))) (+.f64 (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))))) (pow.f64 f 2)) (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 2) (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) 1)
-1
(-.f64 (.f64 n (+.f64 (.f64 -2/3 (.f64 (/.f64 1 f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -4/3 (.f64 (/.f64 1 f) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 8/9 (.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/3 (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))) (.f64 2 (/.f64 1 (pow.f64 f 2))))) (.f64 (cbrt.f64 -1) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2))))) (cbrt.f64 -1)))))))) (.f64 n (+.f64 (.f64 -2/3 (.f64 (/.f64 1 f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -4/3 (.f64 (/.f64 1 f) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 8/9 (.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/3 (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))) (.f64 2 (/.f64 1 (pow.f64 f 2))))) (.f64 (cbrt.f64 -1) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2))))) (cbrt.f64 -1)))))))) (+.f64 (.f64 n (+.f64 (.f64 -2/3 (.f64 (/.f64 1 f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -4/3 (.f64 (/.f64 1 f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (.f64 (pow.f64 n 3) (+.f64 (.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2))))) f))) (.f64 2/3 (/.f64 (-.f64 (.f64 8/27 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 3))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))) (.f64 2 (/.f64 1 (pow.f64 f 2)))) f))))) (cbrt.f64 -1)))) (cbrt.f64 -1)) (+.f64 (.f64 -2/3 (.f64 (/.f64 (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2))))) (cbrt.f64 -1)))) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 4/9 (.f64 (/.f64 (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))) (.f64 2 (/.f64 1 (pow.f64 f 2)))) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (.f64 1/3 (-.f64 (.f64 8/27 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2))))) f))) (*.f64 2 (/.f64 1 (pow.f64 f 3)))))))))))) 1)
1
(+.f64 1 (+.f64 (.f64 2/3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 1/3 (/.f64 (-.f64 f (.f64 -1 f)) n))))
(+.f64 (.f64 2/9 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (.f64 2/3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 f (-.f64 f (.f64 -1 f)))) (.f64 1/3 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (.f64 f (-.f64 f (.f64 -1 f)))) (.f64 1/3 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2)))))))))
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(pow.f64 (cbrt.f64 -1) 6)
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (.f64 -1 f)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n)))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2))) (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))))))) (pow.f64 n 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (.f64 -1 f)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n))))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f)))) (.f64 1/27 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (+.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -2/9 (.f64 (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (.f64 -2/3 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f)))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))))))))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))))))))) (pow.f64 n 3))) (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2)) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))))))) (pow.f64 n 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (.f64 -1 f)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n)))))))
1
(+.f64 1 (*.f64 2/3 (/.f64 f n)))
(+.f64 1 (+.f64 (.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 2/3 (/.f64 f n))))
(+.f64 1 (+.f64 (.f64 22/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2/3 (/.f64 f n)))))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (.f64 1/3 (.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (-.f64 (.f64 -1 n) n)))))) (.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(cbrt.f64 -1)
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 n (.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 n (.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/3 (.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (-.f64 n (.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(cbrt.f64 -1)
(+.f64 (.f64 -2/3 (.f64 (/.f64 n f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(+.f64 (.f64 -2/3 (.f64 (/.f64 n f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (.f64 -1/3 (/.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))))) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 -2/3 (.f64 (/.f64 n f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 n 3) (-.f64 (.f64 8/27 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 3))) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))) (.f64 2 (/.f64 1 (pow.f64 f 2)))) f)))))) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (/.f64 1 (pow.f64 f 2))) (.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))))) (pow.f64 (cbrt.f64 -1) 2))))))
1
(+.f64 1 (.f64 1/3 (/.f64 (-.f64 f (.f64 -1 f)) n)))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 f (-.f64 f (.f64 -1 f)))) (.f64 1/3 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))) (.f64 1/3 (/.f64 (-.f64 f (.f64 -1 f)) n))))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 f (-.f64 f (.f64 -1 f)))) (.f64 1/3 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (pow.f64 n 2))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -2/3 (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 -1 (.f64 f (-.f64 f (.f64 -1 f)))) (.f64 1/3 (pow.f64 (-.f64 f (.f64 -1 f)) 2))))) (.f64 -1 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))) (.f64 1/3 (/.f64 (-.f64 f (.f64 -1 f)) n)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 -1/3 (.f64 (/.f64 (-.f64 f (.f64 -1 f)) n) (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 f (.f64 -1 f)) n) (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 -1/3 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (*.f64 (pow.f64 n 2) (cbrt.f64 -1))))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 f (.f64 -1 f)) n) (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (.f64 (pow.f64 n 2) (cbrt.f64 -1)))) (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f)))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (.f64 -1 f)) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 n 3) (cbrt.f64 -1)))))))
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.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 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (.f64 (cbrt.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 (pow.f64 (+.f64 f n) 2)) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.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 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (+.f64 f n) (cbrt.f64 (-.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 (pow.f64 (-.f64 n f) -1/2) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (.f64 n n)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.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 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) 1) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (.f64 n (-.f64 n f))))
(/.f64 (.f64 (-.f64 (.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (+.f64 f n))) (cbrt.f64 (-.f64 n f)))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -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 n f) (+.f64 f n)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(+.f64 0 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 f n))) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 f n))) (neg.f64 (cbrt.f64 (-.f64 n f))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -2) 1/6)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 3/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) -1)
(pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))

Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 2 (/.f64 (.f64 f f) (*.f64 n n))))
(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 (.f64 2/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) 1)
(+.f64 (.f64 (.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) -1)
(+.f64 (.f64 (/.f64 (.f64 n -2) f) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) -1)
(-.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n)))) (cbrt.f64 -1)))) (cbrt.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 2/3 (.f64 (/.f64 (-.f64 (.f64 -1 n) n) f) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2))))))) 1)
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1
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(+.f64 1 (*.f64 (/.f64 f n) 2/3))
(fma.f64 (/.f64 f n) 2/3 1)
(+.f64 1 (+.f64 (.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 2/3 (/.f64 f n))))
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(cbrt.f64 -1)
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(cbrt.f64 -1)
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(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))
(*.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 f n) (-.f64 n f))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
(/.f64 (pow.f64 (+.f64 f n) 2) (-.f64 (.f64 n n) (.f64 f f)))
(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (.f64 n n)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.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 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) 1) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (.f64 n (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 (-.f64 (.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (+.f64 f n))) (cbrt.f64 (-.f64 n f)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -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 n f) (+.f64 f n)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.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))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 0 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 f n))) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (-.f64 (neg.f64 n) f)) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 f n))) (neg.f64 (cbrt.f64 (-.f64 n f))))
(*.f64 1 (/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1/3)
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -2) 1/6)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -3) 1/9)
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -3) 1/18) (pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -3) 1/18))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 3/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) -1)
(/.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1)
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1/3))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

localize14.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 34 to 7 computations (79.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
589×	`unpow-prod-down_binary64`
425×	`log-prod_binary64`
324×	`fma-def_binary64`
227×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	167	22
2	2498	22

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 (+.f64 f n) (-.f64 n f))) (*.f64 2 (*.f64 1/3 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (/.f64 (+.f64 f n) (-.f64 n f)))) (*.f64 1/3 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(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 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simplify168.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

375×	`log-prod_binary64`
360×	`exp-prod_binary64`
346×	`fma-neg_binary64`
315×	`sqr-pow_binary64`
298×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	4650
1	1676	4302
2	6598	4270

Stop Event

1×	node limit

Counts

209 → 312

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)))
(exp.f64 1)
(+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1)))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3))))))
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f) (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))))) (exp.f64 1)) (pow.f64 n 3)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))))
(+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)
(+.f64 (.f64 1/3 (/.f64 (+.f64 f n) (-.f64 n f))) (.f64 2 (*.f64 1/3 (/.f64 (+.f64 f n) (-.f64 n f)))))
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(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (neg.f64 (+.f64 f n))) (/.f64 1 (neg.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 (-.f64 n f))) (+.f64 f n))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (sqrt.f64 (+.f64 f n)) 1)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (/.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))))
(pow.f64 (pow.f64 (exp.f64 1) (/.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))))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 (sqrt.f64 (-.f64 n f)))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (/.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))))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f)))) (+.f64 f n))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(log1p.f64 (expm1.f64 (exp.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 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 1 (/.f64 n f)))
(-.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 (/.f64 (neg.f64 n) f) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f f))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (.f64 (/.f64 n f) (/.f64 (.f64 n -2) f)) (/.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)))
(+.f64 (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (-.f64 (+.f64 (/.f64 (neg.f64 n) f) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (.f64 f 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)))
(-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (neg.f64 n) f)) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f) -1)
(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 (.f64 (neg.f64 n) (-.f64 n (neg.f64 n))) (.f64 f f)) (fma.f64 -1 (/.f64 (-.f64 n (neg.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 -1 (/.f64 (.f64 n (-.f64 n (neg.f64 n))) (.f64 f f)) (fma.f64 -1 (/.f64 (.f64 (.f64 n n) (-.f64 n (neg.f64 n))) (pow.f64 f 3)) (neg.f64 (/.f64 (-.f64 n (neg.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))
(fma.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f) -1)
(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 (.f64 (neg.f64 n) (-.f64 n (neg.f64 n))) (.f64 f f)) (fma.f64 -1 (/.f64 (-.f64 n (neg.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 -1 (/.f64 (.f64 n (-.f64 n (neg.f64 n))) (.f64 f f)) (fma.f64 -1 (/.f64 (.f64 (.f64 n n) (-.f64 n (neg.f64 n))) (pow.f64 f 3)) (neg.f64 (/.f64 (-.f64 n (neg.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))
(fma.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.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))) (/.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 1 (/.f64 f n)) (fma.f64 2 (*.f64 (/.f64 f n) (/.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)))))) (/.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)))))
(+.f64 (+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.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))) (/.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 1 (/.f64 f n)) (fma.f64 2 (*.f64 (/.f64 f n) (/.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)))))) (/.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)))))
(+.f64 (+.f64 (/.f64 f n) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1))
(fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64))
(fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1)))
(fma.f64 4 (/.f64 (.f64 f f) (/.f64 (.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64)))
(fma.f64 4 (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1))))
(fma.f64 4 (/.f64 (.f64 f f) (/.f64 (.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (fma.f64 22/3 (/.f64 (pow.f64 f 3) (/.f64 (pow.f64 n 3) (E.f64))) (E.f64))))
(fma.f64 4 (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (fma.f64 22/3 (.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (E.f64)) (E.f64))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))
(+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 n (-.f64 (neg.f64 n) n))) (/.f64 (.f64 f f) (exp.f64 -1))))
(+.f64 (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2))) f)) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))))
(+.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 n (-.f64 (neg.f64 n) n))) (/.f64 (.f64 f f) (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))
(+.f64 (+.f64 (.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2))) f)) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))) (.f64 (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (*.f64 (pow.f64 n 3) -2))) (pow.f64 f 3)) (exp.f64 -1)))
(exp.f64 -1)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1)))
(fma.f64 -1 (/.f64 (.f64 (-.f64 n (neg.f64 n)) (exp.f64 -1)) f) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (.f64 f f) (exp.f64 -1)))))
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))) (/.f64 (.f64 f f) (exp.f64 -1))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3))))))
(fma.f64 -1 (/.f64 (.f64 (-.f64 n (neg.f64 n)) (exp.f64 -1)) f) (+.f64 (/.f64 (fma.f64 -1 (.f64 n (-.f64 n (neg.f64 n))) (.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (.f64 f f) (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (.f64 n n) (-.f64 n (neg.f64 n)) (*.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))))))
(+.f64 (-.f64 (exp.f64 -1) (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 n n) 3) (+.f64 (pow.f64 n 3) (pow.f64 n 3))) (.f64 n (pow.f64 (+.f64 n n) 2)))))) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))) (/.f64 (.f64 f f) (exp.f64 -1))) (.f64 (/.f64 (.f64 n -2) f) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (exp.f64 -1)) (.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (+.f64 f n))) (sqrt.f64 (/.f64 1 (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (+.f64 f n))) (sqrt.f64 (/.f64 -1 (-.f64 f n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (fabs.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (neg.f64 (+.f64 f n))) (/.f64 1 (neg.f64 (-.f64 n f))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 (-.f64 n f))) (+.f64 f n))
(pow.f64 (pow.f64 (E.f64) (/.f64 1 (-.f64 n f))) (+.f64 f n))
(pow.f64 (pow.f64 (E.f64) (/.f64 -1 (-.f64 f n))) (+.f64 f n))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) (*.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (sqrt.f64 (+.f64 f n)) 1)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 f n))) (/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) 1) (-.f64 n f)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (E.f64) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (/.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (exp.f64 1) (/.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 (sqrt.f64 (-.f64 n f)))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (E.f64) (/.f64 1 (sqrt.f64 (-.f64 n f)))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (exp.f64 1) (/.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f)))) (+.f64 f n))
(pow.f64 (pow.f64 (E.f64) (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (.f64 f f)))) (+.f64 f n))
(pow.f64 (pow.f64 (exp.f64 1) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

eval639.0ms (14.4%)

Compiler: Compiled 29725 to 15791 computations (46.9% saved)

prune143.0ms (3.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1099	3	1102
Fresh	2	0	2
Picked	1	0	1
Done	0	4	4
Total	1102	7	1109

Error

Counts

1109 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓	31.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.1b	1
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.0b	(.f64 1/3 (.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.2b	-1

Compiler

Compiled 60 to 42 computations (30% saved)

localize11.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 39 to 13 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	inf	(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms	f	@	-inf	(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms	n	@	inf	(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms	n	@	-inf	(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
522×	`log-prod_binary64`
324×	`fma-def_binary64`
274×	`pow2_binary64`
189×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	230	23
2	3027	23

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (-.f64 n f) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) (*.f64 3 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 f n)) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3 (+.f64 f n))) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 (+.f64 f n)) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 f n)) 3) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (*.f64 3 (+.f64 f n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))))))

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

399×	`unswap-sqr_binary64`
282×	`div-sub_binary64`
229×	`fma-neg_binary64`
228×	`distribute-rgt-neg-out_binary64`
191×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	1905
1	864	1645
2	3354	1507

Stop Event

1×	node limit

Counts

116 → 145

Calls

Call 1

Inputs
3
(+.f64 3 (*.f64 6 (/.f64 f n)))
(+.f64 3 (+.f64 (.f64 6 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 6 (/.f64 f n))))
(+.f64 3 (+.f64 (.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 6 (/.f64 f n)))))
-3
(-.f64 (.f64 3 (/.f64 (-.f64 (.f64 -1 n) n) f)) 3)
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) (.f64 3 (/.f64 (-.f64 (*.f64 -1 n) n) f))) 3)
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 (.f64 3 (/.f64 (-.f64 (.f64 -1 n) n) f)) (.f64 3 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3))))) 3)
-3
(-.f64 (.f64 -3 (/.f64 (-.f64 n (.f64 -1 n)) f)) 3)
(-.f64 (+.f64 (.f64 -3 (/.f64 (-.f64 n (.f64 -1 n)) f)) (.f64 -3 (/.f64 (.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2)))) 3)
(-.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (+.f64 (.f64 -3 (/.f64 (-.f64 n (.f64 -1 n)) f)) (.f64 -3 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))))) 3)
-3
(-.f64 (*.f64 -6 (/.f64 n f)) 3)
(-.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -6 (/.f64 n f))) 3)
(-.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -6 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -6 (/.f64 n f)))) 3)
3
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) 3)
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (.f64 3 (/.f64 (.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))))
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3))) (.f64 3 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))))
3
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) 3)
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (.f64 3 (/.f64 (.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))))
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (+.f64 (.f64 3 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3))) (.f64 3 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (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 (.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 0 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)
(/.f64 3 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (-.f64 n f) (*.f64 3 (+.f64 f n))))
(/.f64 (*.f64 3 (+.f64 f n)) (-.f64 n f))
(/.f64 (neg.f64 (*.f64 3 (+.f64 f n))) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 3 (+.f64 f n)) 1) (-.f64 n f))
(/.f64 (/.f64 (*.f64 3 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 3 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (+.f64 f n)) 3) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 3 (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 n f)))
(pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(pow.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)
(pow.f64 (/.f64 (-.f64 n f) (*.f64 3 (+.f64 f n))) -1)
(sqrt.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(log.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))))
(cbrt.f64 (pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (log.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (.f64 f f))))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)))
(/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) 1) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 n (-.f64 n f) (.f64 f f)))
(/.f64 (.f64 (-.f64 (.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (.f64 (.f64 3 (+.f64 f n)) 1/3) (-.f64 n f))
(/.f64 (.f64 1/3 (.f64 3 (+.f64 f n))) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))

Outputs
3
(+.f64 3 (*.f64 6 (/.f64 f n)))
(fma.f64 6 (/.f64 f n) 3)
(+.f64 3 (+.f64 (.f64 6 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 6 (/.f64 f n))))
(+.f64 3 (.f64 6 (+.f64 (/.f64 (.f64 f f) (*.f64 n n)) (/.f64 f n))))
(fma.f64 6 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))) 3)
(fma.f64 6 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)) 3)
(+.f64 3 (+.f64 (.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 6 (/.f64 f n)))))
(+.f64 3 (fma.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 6 (+.f64 (/.f64 (.f64 f f) (*.f64 n n)) (/.f64 f n)))))
(+.f64 3 (.f64 6 (+.f64 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 3 (.f64 6 (+.f64 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)) (pow.f64 (/.f64 f n) 3))))
-3
(-.f64 (.f64 3 (/.f64 (-.f64 (.f64 -1 n) n) f)) 3)
(fma.f64 3 (/.f64 (-.f64 (neg.f64 n) n) f) -3)
(fma.f64 3 (*.f64 (/.f64 n f) -2) -3)
(fma.f64 -6 (/.f64 n f) -3)
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) (.f64 3 (/.f64 (-.f64 (*.f64 -1 n) n) f))) 3)
(+.f64 (.f64 3 (+.f64 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (/.f64 (-.f64 (neg.f64 n) n) f))) -3)
(fma.f64 3 (.f64 -2 (+.f64 (/.f64 n f) (.f64 (/.f64 n f) (/.f64 n f)))) -3)
(fma.f64 -6 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -3)
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 (.f64 3 (/.f64 (-.f64 (.f64 -1 n) n) f)) (.f64 3 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3))))) 3)
(+.f64 (fma.f64 3 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (.f64 3 (+.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))))) -3)
(+.f64 -3 (.f64 3 (.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(+.f64 -3 (.f64 -6 (+.f64 (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3))))
-3
(-.f64 (.f64 -3 (/.f64 (-.f64 n (.f64 -1 n)) f)) 3)
(fma.f64 3 (/.f64 (-.f64 (neg.f64 n) n) f) -3)
(fma.f64 3 (*.f64 (/.f64 n f) -2) -3)
(fma.f64 -6 (/.f64 n f) -3)
(-.f64 (+.f64 (.f64 -3 (/.f64 (-.f64 n (.f64 -1 n)) f)) (.f64 -3 (/.f64 (.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2)))) 3)
(+.f64 (.f64 3 (+.f64 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (/.f64 (-.f64 (neg.f64 n) n) f))) -3)
(fma.f64 3 (.f64 -2 (+.f64 (/.f64 n f) (.f64 (/.f64 n f) (/.f64 n f)))) -3)
(fma.f64 -6 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -3)
(-.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (+.f64 (.f64 -3 (/.f64 (-.f64 n (.f64 -1 n)) f)) (.f64 -3 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))))) 3)
(+.f64 (fma.f64 3 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (.f64 3 (+.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))))) -3)
(+.f64 -3 (.f64 3 (.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(+.f64 -3 (.f64 -6 (+.f64 (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3))))
-3
(-.f64 (*.f64 -6 (/.f64 n f)) 3)
(fma.f64 3 (/.f64 (-.f64 (neg.f64 n) n) f) -3)
(fma.f64 3 (*.f64 (/.f64 n f) -2) -3)
(fma.f64 -6 (/.f64 n f) -3)
(-.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -6 (/.f64 n f))) 3)
(+.f64 (.f64 3 (+.f64 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (/.f64 (-.f64 (neg.f64 n) n) f))) -3)
(fma.f64 3 (.f64 -2 (+.f64 (/.f64 n f) (.f64 (/.f64 n f) (/.f64 n f)))) -3)
(fma.f64 -6 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -3)
(-.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -6 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -6 (/.f64 n f)))) 3)
(+.f64 (fma.f64 3 (/.f64 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (.f64 3 (+.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))))) -3)
(+.f64 -3 (.f64 3 (.f64 -2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(+.f64 -3 (.f64 -6 (+.f64 (.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3))))
3
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) 3)
(+.f64 3 (*.f64 6 (/.f64 f n)))
(fma.f64 6 (/.f64 f n) 3)
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (.f64 3 (/.f64 (.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))))
(+.f64 3 (.f64 6 (+.f64 (/.f64 (.f64 f f) (*.f64 n n)) (/.f64 f n))))
(fma.f64 6 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))) 3)
(fma.f64 6 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)) 3)
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3))) (.f64 3 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))))
(+.f64 3 (fma.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 6 (+.f64 (/.f64 (.f64 f f) (*.f64 n n)) (/.f64 f n)))))
(+.f64 3 (.f64 6 (+.f64 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 3 (.f64 6 (+.f64 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)) (pow.f64 (/.f64 f n) 3))))
3
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) 3)
(+.f64 3 (*.f64 6 (/.f64 f n)))
(fma.f64 6 (/.f64 f n) 3)
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (.f64 3 (/.f64 (.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))))
(+.f64 3 (.f64 6 (+.f64 (/.f64 (.f64 f f) (*.f64 n n)) (/.f64 f n))))
(fma.f64 6 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))) 3)
(fma.f64 6 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)) 3)
(+.f64 (.f64 3 (/.f64 (-.f64 f (.f64 -1 f)) n)) (+.f64 3 (+.f64 (.f64 3 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3))) (.f64 3 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2))))))
(+.f64 3 (fma.f64 6 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 6 (+.f64 (/.f64 (.f64 f f) (*.f64 n n)) (/.f64 f n)))))
(+.f64 3 (.f64 6 (+.f64 (+.f64 (/.f64 f n) (.f64 (/.f64 f n) (/.f64 f n))) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 3 (.f64 6 (+.f64 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)) (pow.f64 (/.f64 f n) 3))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 f n) 2 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 (/.f64 f n) 2 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 2 (.f64 (/.f64 f n) (+.f64 (/.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)) (fma.f64 (/.f64 f n) 2 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (.f64 2 (.f64 (/.f64 f n) (+.f64 (/.f64 f n) 1)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (/.f64 (neg.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 (/.f64 (neg.f64 n) f) 1) (/.f64 n f)))
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (-.f64 (/.f64 (neg.f64 n) f) 1) (/.f64 n f))))
(fma.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) -2 (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (-.f64 (/.f64 (neg.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 (/.f64 (neg.f64 n) f) 1) (/.f64 n f)))
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (-.f64 (/.f64 (neg.f64 n) f) 1) (/.f64 n f))))
(fma.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) -2 (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (-.f64 (/.f64 (neg.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 (/.f64 (neg.f64 n) f) 1) (/.f64 n f)))
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (-.f64 (/.f64 (neg.f64 n) f) 1) (/.f64 n f))))
(fma.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) -2 (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 f n) 2 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 (/.f64 f n) 2 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 2 (.f64 (/.f64 f n) (+.f64 (/.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 f) (/.f64 (pow.f64 n 3) (-.f64 f (neg.f64 f)))))) (/.f64 (neg.f64 f) n)))
(+.f64 (.f64 (/.f64 f (.f64 n n)) (+.f64 f f)) (+.f64 (+.f64 (/.f64 (.f64 2 (pow.f64 f 3)) (pow.f64 n 3)) 1) (.f64 (/.f64 f n) 2)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 1 (.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 1))) (.f64 2 (pow.f64 (/.f64 f n) 3))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 f n) 2 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 (/.f64 f n) 2 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (.f64 2 (.f64 (/.f64 f n) (+.f64 (/.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 f) (/.f64 (pow.f64 n 3) (-.f64 f (neg.f64 f)))))) (/.f64 (neg.f64 f) n)))
(+.f64 (.f64 (/.f64 f (.f64 n n)) (+.f64 f f)) (+.f64 (+.f64 (/.f64 (.f64 2 (pow.f64 f 3)) (pow.f64 n 3)) 1) (.f64 (/.f64 f n) 2)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 1 (.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 1))) (.f64 2 (pow.f64 (/.f64 f n) 3))))
(+.f64 0 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 3 (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 1 (/.f64 (-.f64 n f) (*.f64 3 (+.f64 f n))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 3 (+.f64 f n)) (-.f64 n f))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 3 (+.f64 f n))) (neg.f64 (-.f64 n f)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (/.f64 (*.f64 3 (+.f64 f n)) 1) (-.f64 n f))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (/.f64 (*.f64 3 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (/.f64 (*.f64 3 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (+.f64 f n)) 3) (neg.f64 (-.f64 n f)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 3 (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 n f)))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) 1/2)
(sqrt.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(fabs.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 3) 1/3)
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (/.f64 (-.f64 n f) (*.f64 3 (+.f64 f n))) -1)
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(sqrt.f64 (*.f64 9 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(fabs.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (pow.f64 (exp.f64 3) (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(cbrt.f64 (pow.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(exp.f64 (log.f64 (*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(exp.f64 (.f64 (log.f64 (.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))
(*.f64 3 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.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 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (-.f64 n f)) (cbrt.f64 (+.f64 f n)))
(*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (-.f64 n f)))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (.f64 f f))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (.f64 f f))))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (.f64 f f))))
(/.f64 (.f64 (-.f64 (.f64 f f) (.f64 n n)) 1) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 n (-.f64 n f) (.f64 f f)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (.f64 f f))))
(/.f64 (.f64 (-.f64 (.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 (.f64 3 (+.f64 f n)) 1/3) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (.f64 1/3 (.f64 3 (+.f64 f n))) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)
(/.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 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.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 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(/.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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.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))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))

eval259.0ms (5.8%)

Compiler: Compiled 4031 to 2056 computations (49% saved)

prune32.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	226	7	233

Error

Counts

233 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓	31.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.1b	1
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(.f64 1/3 (.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.2b	-1

Compiler

Compiled 60 to 42 computations (30% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

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

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓	31.2b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.1b	1
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(.f64 1/3 (.f64 3 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.2b	-1

Compiler

Compiled 60 to 42 computations (30% saved)

regimes24.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	f
6.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 93 to 44 computations (52.7% saved)

regimes94.0ms (2.1%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	f
38.0ms	n

Results

Error	Segments	Branch
14.5b	3	`f`
13.5b	5	`n`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch102.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	3.1705714596185303e-20	5.266316669125729e-14
22.0ms	3.0397838769088087e-132	3.755470452615917e-130
25.0ms	8.60109890105939e-152	1.7851227890024512e-147
25.0ms	-4.354638210350408e+33	-2.6504420801622125e+32

Results

90.0ms

496×

body

256

valid

Compiler

Compiled 359 to 322 computations (10.3% saved)

regimes73.0ms (1.7%)

Accuracy

Total -48.9b remaining (-347.6%)

Threshold costs -48.9b (-347.6%)

Counts

4 → 5

Calls

Call 1

Inputs
1
-1
1
-1

Outputs
1
-1
1
-1
1

Calls

2 calls:

47.0ms	n
24.0ms	f

Results

Error	Segments	Branch
15.0b	3	`f`
14.1b	5	`n`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch116.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	3.1705714596185303e-20	5.266316669125729e-14
68.0ms	3.0397838769088087e-132	3.755470452615917e-130
15.0ms	8.60109890105939e-152	1.7851227890024512e-147
3.0ms	-4.354638210350408e+33	-2.6504420801622125e+32

Results

108.0ms

352×

body

256

valid

Compiler

Compiled 191 to 186 computations (2.6% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	42	87
2	45	87
3	47	87
4	48	87

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -420000000000000011729242152763392) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 100775668997767600/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) -1 (if (<=.f64 n 4954839299061543/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1 (if (<=.f64 n 602134035108409/316912650057057350374175801344) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -3999999999999999782300923948171264) 1 (if (<=.f64 n 57586096570152912/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) -1 (if (<=.f64 n 4954839299061543/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1 (if (<=.f64 n 7288990951312319/158456325028528675187087900672) -1 1))))
1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -420000000000000011729242152763392) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 100775668997767600/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) -1 (if (<=.f64 n 4954839299061543/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1 (if (<=.f64 n 602134035108409/316912650057057350374175801344) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -420000000000000011729242152763392) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 6298479312360475/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) -1 (if (<=.f64 n 4954839299061543/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1 (if (<=.f64 n 602134035108409/316912650057057350374175801344) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -3999999999999999782300923948171264) 1 (if (<=.f64 n 57586096570152912/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) -1 (if (<=.f64 n 4954839299061543/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1 (if (<=.f64 n 7288990951312319/158456325028528675187087900672) -1 1))))
(if (<=.f64 n -3999999999999999782300923948171264) 1 (if (<=.f64 n 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) -1 (if (<=.f64 n 4954839299061543/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) 1 (if (<=.f64 n 7288990951312319/158456325028528675187087900672) -1 1))))
1

Compiler

Compiled 70 to 53 computations (24.3% saved)

soundness268.0ms (6%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
451×	`times-frac_binary64`
308×	`div-sub_binary64`
194×	`associate-/l*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	330	12
6	818	10
7	2533	10
8	3446	10
9	4154	10
10	4275	10
11	4318	10
12	4328	10
13	4328	10

Stop Event

1×

saturated

Compiler

Compiled 150 to 98 computations (34.7% saved)

end79.0ms (1.8%)

Compiler: Compiled 64 to 47 computations (26.6% saved)

Details

analyze154.0ms (3.5%)

sample1.0s (22.5%)

preprocess127.0ms (2.9%)

simplify111.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite82.0ms (1.8%)

simplify70.0ms (1.6%)

eval35.0ms (0.8%)

prune13.0ms (0.3%)

localize13.0ms (0.3%)

series12.0ms (0.3%)

rewrite67.0ms (1.5%)

simplify114.0ms (2.6%)

localize7.0ms (0.2%)

series8.0ms (0.2%)

rewrite80.0ms (1.8%)

simplify89.0ms (2%)

localize12.0ms (0.3%)

series35.0ms (0.8%)

rewrite67.0ms (1.5%)

simplify94.0ms (2.1%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite70.0ms (1.6%)

simplify168.0ms (3.8%)

eval639.0ms (14.4%)

prune143.0ms (3.2%)

localize11.0ms (0.3%)

series5.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify60.0ms (1.3%)

eval259.0ms (5.8%)

prune32.0ms (0.7%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes24.0ms (0.5%)

regimes94.0ms (2.1%)

bsearch102.0ms (2.3%)

regimes73.0ms (1.7%)

bsearch116.0ms (2.6%)

simplify11.0ms (0.3%)

soundness268.0ms (6%)

end79.0ms (1.8%)

Profiling