Details

analyze120.0ms (4.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample785.0ms (28.2%)

Results

755.0ms

8256×

body

256

valid

Bogosity

preprocess103.0ms (3.7%)

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)

simplify92.0ms (3.3%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

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))

rewrite45.0ms (1.6%)

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))))))))

simplify41.0ms (1.5%)

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))

eval42.0ms (1.5%)

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

prune11.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	6	82

Error

Counts

82 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	31.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	32.3b	1
	31.9b	-1

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 7 computations (79.4% saved)

series33.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	f	@	0	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	inf	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	-inf	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	0	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	-inf	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite58.0ms (2.1%)

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

Outputs
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Outputs

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

simplify166.0ms (6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	4650
1	1676	4302
2	6586	4270

Stop Event

1×	node limit

Counts

209 → 315

Calls

Call 1

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

localize27.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`prod-diff_binary64`
453×	`log-prod_binary64`
352×	`fma-def_binary64`
242×	`pow2_binary64`
170×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	184	17
2	2812	17

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

411×	`unswap-sqr_binary64`
251×	`fma-neg_binary64`
247×	`div-sub_binary64`
209×	`associate-/r/_binary64`
178×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	2484
1	1035	2352
2	3654	2199

Stop Event

1×	node limit

Counts

163 → 195

Calls

Call 1

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

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite71.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify33.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

701×	`log-prod_binary64`
438×	`associate-l_binary64`
400×	`associate-r_binary64`
373×	`fma-def_binary64`
321×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	260
1	142	200
2	511	140
3	3948	140

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

eval189.0ms (6.8%)

Compiler: Compiled 11679 to 4893 computations (58.1% saved)

prune102.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	613	1	614
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	614	6	620

Error

Counts

620 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	31.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	32.3b	1
	31.9b	-1

Compiler

Compiled 48 to 31 computations (35.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series7.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite70.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`fma-def_binary64`
501×	`log-prod_binary64`
392×	`pow-prod-down_binary64`
261×	`fma-neg_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	173	27
2	3042	27

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 1) (/.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2) (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n (-.f64 n f) (*.f64 f (-.f64 n f))) (pow.f64 (-.f64 n f) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (/.f64 1 (fma.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (-.f64 n f) 2) (fma.f64 n (-.f64 n f) (*.f64 f (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))))))) 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simplify104.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-neg_binary64`
317×	`div-sub_binary64`
310×	`log-prod_binary64`
242×	`exp-prod_binary64`
207×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	5369
1	1453	4862
2	5220	4788

Stop Event

1×	node limit

Counts

287 → 380

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 f) f) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1)
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 4) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (neg.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 4) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (*.f64 (neg.f64 (/.f64 f (-.f64 n f))) (/.f64 f (-.f64 n f))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 f (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 n (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 f (sqrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 n (sqrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (*.f64 n n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (*.f64 n n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 (.f64 n n) (.f64 f f))) (+.f64 n f) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 n (-.f64 n f)) n) (/.f64 1 (-.f64 n f)) (neg.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2)))
(fma.f64 (.f64 (/.f64 n (-.f64 n f)) n) (/.f64 1 (-.f64 n f)) (.f64 (neg.f64 (/.f64 f (-.f64 n f))) (/.f64 f (-.f64 n f))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 5) (cbrt.f64 (/.f64 n (-.f64 n f))) (neg.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 5) (cbrt.f64 (/.f64 n (-.f64 n f))) (*.f64 (neg.f64 (/.f64 f (-.f64 n f))) (/.f64 f (-.f64 n f))))
(+.f64 0 (/.f64 f (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 f (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 f (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 f (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 f (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) 1)
(*.f64 f (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 f (-.f64 n f)) 1)
(*.f64 1 (/.f64 f (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 f) 2) (.f64 (cbrt.f64 f) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))))
(.f64 (sqrt.f64 f) (.f64 (sqrt.f64 f) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 f) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) f)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 f (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 n f))))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 f (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 n f))))
(.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (.f64 n n)))
(.f64 (/.f64 f (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(pow.f64 (/.f64 f (-.f64 n f)) 1)
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 3)
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2)
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 1/3)
(pow.f64 (-.f64 (/.f64 n f) 1) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 n f) 1) 1) -1)
(neg.f64 (/.f64 f (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 f (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 f (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 f (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 f (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 n f))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 f (-.f64 n f)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 f (-.f64 n f)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 n f) 1)) -1))
(+.f64 0 (/.f64 n (-.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(*.f64 n (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 n (-.f64 n f)) 1)
(*.f64 1 (/.f64 n (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) n)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 n (cbrt.f64 (-.f64 n f))))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 n (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))
(.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (.f64 n n)))
(.f64 (/.f64 n (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(pow.f64 (/.f64 n (-.f64 n f)) 1)
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 3)
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2)
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)
(pow.f64 (-.f64 1 (/.f64 f n)) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 f n)) 1) -1)
(neg.f64 (/.f64 n (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 n (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 n (-.f64 n f)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n (-.f64 n f)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 n (-.f64 n f)))) 1/3))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 f n))) -1))

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

eval85.0ms (3.1%)

Compiler: Compiled 7562 to 2498 computations (67% saved)

prune53.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	380	6	386

Error

Counts

386 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	31.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	32.3b	1
	31.9b	-1

Compiler

Compiled 48 to 31 computations (35.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	31.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	32.3b	1
	31.9b	-1

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes15.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 71 to 33 computations (53.5% saved)

regimes14.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 62 to 31 computations (50% saved)

regimes12.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	f
4.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 51 to 28 computations (45.1% saved)

regimes23.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	f
9.0ms	n

Results

Error	Segments	Branch
13.5b	3	`f`
11.8b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch5.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	3.2192569536385997e+72	4.211802729216293e+72
0.0ms	-6.317228574885725e-68	-6.242029089380515e-68

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 57 to 46 computations (19.3% saved)

regimes20.0ms (0.7%)

Accuracy

Total -50.8b remaining (-414.5%)

Threshold costs -50.8b (-414.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

2 calls:

11.0ms	f
9.0ms	n

Results

Error	Segments	Branch
13.8b	3	`f`
12.2b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch5.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	3.2192569536385997e+72	4.211802729216293e+72
0.0ms	-6.317228574885725e-68	-6.242029089380515e-68

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-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	26	89
1	34	89
2	37	89
3	39	89
4	40	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -956157345392351/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3299999999999999991089462438772480862270417153483434706974355719337279488) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -956157345392351/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) 1 (if (<=.f64 n 3299999999999999991089462438772480862270417153483434706974355719337279488) -1 1))
-1

Outputs
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -956157345392351/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 3299999999999999991089462438772480862270417153483434706974355719337279488) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -956157345392351/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) 1 (if (<=.f64 n 3299999999999999991089462438772480862270417153483434706974355719337279488) -1 1))
-1

Compiler

Compiled 74 to 50 computations (32.4% saved)

soundness239.0ms (8.6%)

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)

end41.0ms (1.5%)

Compiler: Compiled 64 to 36 computations (43.8% saved)

Details

analyze120.0ms (4.3%)

sample785.0ms (28.2%)

preprocess103.0ms (3.7%)

simplify92.0ms (3.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite45.0ms (1.6%)

simplify41.0ms (1.5%)

eval42.0ms (1.5%)

prune11.0ms (0.4%)

localize11.0ms (0.4%)

series33.0ms (1.2%)

rewrite58.0ms (2.1%)

simplify166.0ms (6%)

localize27.0ms (1%)

series4.0ms (0.2%)

rewrite56.0ms (2%)

simplify63.0ms (2.3%)

localize7.0ms (0.3%)

series4.0ms (0.1%)

rewrite71.0ms (2.5%)

simplify33.0ms (1.2%)

eval189.0ms (6.8%)

prune102.0ms (3.7%)

localize9.0ms (0.3%)

series7.0ms (0.2%)

rewrite70.0ms (2.5%)

simplify104.0ms (3.7%)

eval85.0ms (3.1%)

prune53.0ms (1.9%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (0.5%)

regimes14.0ms (0.5%)

regimes12.0ms (0.4%)

regimes23.0ms (0.8%)

bsearch5.0ms (0.2%)

regimes20.0ms (0.7%)

bsearch5.0ms (0.2%)

simplify7.0ms (0.2%)

soundness239.0ms (8.6%)

end41.0ms (1.5%)

Profiling