Details

analyze217.0ms (9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
56.2%	43.7%	0.1%	8
71%	28.9%	0.1%	9
76.5%	23.4%	0.1%	10
84.9%	15%	0.1%	11
87.8%	12.1%	0.1%	12
92.2%	7.7%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample784.0ms (32.4%)

Results

771.0ms

8256×

body

128

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess62.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

762×	`fma-neg_binary64`
504×	`fma-def_binary64`
425×	`times-frac_binary64`
376×	`div-sub_binary64`
206×	`cancel-sign-sub-inv_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	1384	20
7	3080	20
8	4110	20
9	4417	20
10	4558	20
11	4596	20
12	4606	20
13	4606	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 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify49.0ms (2%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
448×	`times-frac_binary64`
307×	`div-sub_binary64`
143×	`cancel-sign-sub-inv_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	331	12
6	818	10
7	2221	10
8	3129	10
9	3837	10
10	3958	10
11	4001	10
12	4011	10
13	4011	10

Stop Event

1×

saturated

Counts

1 → 2

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))

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

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))

rewrite162.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
78×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2307	10

Stop Event

1×	node limit

Counts

1 → 35

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

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

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
521×	`fma-def_binary64`
352×	`associate-/l*_binary64`
310×	`associate-/r*_binary64`
149×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	504
1	264	441
2	940	327
3	4891	327

Stop Event

1×	node limit

Counts

59 → 58

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)))

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

prune36.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Status	Error	Program
	1.3b	(.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

Compiler

Compiled 960 to 456 computations (52.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(log.f64 (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)))

rewrite49.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
324×	`fma-def_binary64`
154×	`expm1-udef_binary64`
154×	`log1p-udef_binary64`
139×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	167	22
2	2492	22

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

759×	`associate-/l*_binary64`
182×	`associate-/r/_binary64`
181×	`fma-neg_binary64`
158×	`distribute-rgt-in_binary64`
144×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1431
1	608	1231
2	2146	1059

Stop Event

1×	node limit

Counts

121 → 129

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(exp.f64 1)
(+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1)))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3))))))
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f) (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))))) (exp.f64 1)) (pow.f64 n 3)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (exp.f64 1)) n) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))))

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 1 (/.f64 f n)) (.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 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 1 (/.f64 f n)) (.f64 2 (/.f64 f n)))))
-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 -2 (/.f64 (.f64 n n) (*.f64 f f))) (/.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 -2 (/.f64 (.f64 n n) (*.f64 f f))) (/.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 -2 (/.f64 (.f64 n n) (*.f64 f f))) (/.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 1 (/.f64 f n)) (.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)))
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(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (pow.f64 (/.f64 f n) 3)))) (.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 1 (/.f64 f n)) (.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) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 f n) (.f64 2 (pow.f64 (/.f64 f n) 3)))) (.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1))
(fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64))
(fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))
(*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (exp.f64 1)))
(fma.f64 4 (/.f64 (.f64 f f) (/.f64 (.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64)))
(fma.f64 4 (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(fma.f64 4 (.f64 (/.f64 (E.f64) (.f64 n n)) (.f64 f f)) (.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64)))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 (.f64 f (exp.f64 1)) n)) (+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1))))
(fma.f64 4 (/.f64 (.f64 f f) (/.f64 (.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (fma.f64 22/3 (/.f64 (pow.f64 f 3) (/.f64 (pow.f64 n 3) (E.f64))) (E.f64))))
(fma.f64 4 (.f64 (.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (fma.f64 22/3 (.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (E.f64)) (E.f64))))
(fma.f64 4 (.f64 (/.f64 (E.f64) (.f64 n n)) (.f64 f f)) (fma.f64 2 (.f64 (/.f64 (E.f64) n) f) (fma.f64 22/3 (*.f64 (pow.f64 (/.f64 f n) 3) (E.f64)) (E.f64))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))
(+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 n (-.f64 (neg.f64 n) n))) (/.f64 (.f64 f f) (exp.f64 -1))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)) (/.f64 (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2))) (/.f64 f (/.f64 (exp.f64 -1) f))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 n (.f64 1/2 (.f64 n -2)))) (.f64 f f)) (/.f64 n (/.f64 f -2)))))
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(exp.f64 -1)
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(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (exp.f64 -1))
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(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))
(fma.f64 -2 (/.f64 n (/.f64 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)))))
(fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))
(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)))
(fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 n 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 (.f64 (exp.f64 -1) (pow.f64 n 4)) (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 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1))))
(fma.f64 -2 (/.f64 n (/.f64 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 (pow.f64 (/.f64 n 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 (/.f64 f n) (E.f64)) (E.f64))
(*.f64 (fma.f64 2 (/.f64 f n) 1) (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 (-.f64 f (neg.f64 f)) (/.f64 n (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)))) (E.f64))
(+.f64 (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n)) (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (E.f64)))
(+.f64 (E.f64) (.f64 (E.f64) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 (.f64 1/2 (+.f64 f f)) f)) (.f64 n n)) (*.f64 2 (/.f64 f 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 (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n)) (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (E.f64))) (.f64 (/.f64 (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)))) (pow.f64 n 3)) (E.f64)))
(+.f64 (.f64 (E.f64) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 (.f64 1/2 (+.f64 f f)) f)) (.f64 n n)) (/.f64 (fma.f64 1/6 (.f64 (pow.f64 f 3) 8) (.f64 (.f64 f (+.f64 f f)) (+.f64 f (+.f64 f f)))) (pow.f64 n 3)))) (.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64)))
(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 (/.f64 f n) (E.f64)) (E.f64))
(*.f64 (fma.f64 2 (/.f64 f n) 1) (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 (-.f64 f (neg.f64 f)) (/.f64 n (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)))) (E.f64))
(+.f64 (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n)) (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (E.f64)))
(+.f64 (E.f64) (.f64 (E.f64) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 (.f64 1/2 (+.f64 f f)) f)) (.f64 n n)) (*.f64 2 (/.f64 f 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 (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))))) (/.f64 (pow.f64 n 3) (E.f64))) (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n))) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 (.f64 1/2 (+.f64 f f)) f)) (.f64 n n)) 1) (E.f64)) (.f64 (E.f64) (-.f64 (.f64 2 (/.f64 f n)) (/.f64 (+.f64 (.f64 (pow.f64 f 3) -2) (.f64 (.f64 (.f64 f f) 4) (-.f64 (*.f64 -1/6 (+.f64 f f)) f))) (pow.f64 n 3)))))

prune126.0ms (5.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	188	3	191

Error

Counts

191 → 3

Alt Table

Status

Error

Program

1.3b

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

0.0b

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

▶

0.0b

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

Compiler

Compiled 3553 to 1853 computations (47.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.8b	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
✓	1.0b	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)

series22.0ms (0.9%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	f	@	inf	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
3.0ms	n	@	-inf	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
3.0ms	n	@	inf	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
2.0ms	f	@	-inf	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
2.0ms	f	@	0	(pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)

rewrite62.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
108×	`add-sqr-sqrt_binary64`
104×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	246	37
2	2998	37

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Outputs

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

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

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

simplify70.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

443×	`fma-def_binary64`
378×	`associate-r_binary64`
329×	`times-frac_binary64`
256×	`associate-l_binary64`
245×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	4506
1	1550	3667

Stop Event

1×	node limit

Counts

172 → 203

Calls

Call 1

Inputs
(*.f64 (E.f64) (pow.f64 (exp.f64 1) 2))
(+.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (.f64 f (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)) (.f64 2 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)))))
(+.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2))) (+.f64 (.f64 (E.f64) (+.f64 (.f64 4 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))) (.f64 8 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))))) (.f64 8 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2)))))) (.f64 f (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)) (.f64 2 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n))))))
(+.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 16 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (.f64 (E.f64) (+.f64 (.f64 4 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))) (.f64 8 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))))) n)) (+.f64 (.f64 (E.f64) (+.f64 (.f64 16 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 3))) (.f64 44/3 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 3))))) (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 3))))))) (+.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2))) (+.f64 (.f64 (E.f64) (+.f64 (.f64 4 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))) (.f64 8 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))))) (.f64 8 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2)))))) (.f64 f (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)) (.f64 2 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)))))))
(pow.f64 (exp.f64 -1) 3)
(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f) (pow.f64 (exp.f64 -1) 3)))
(+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f) (pow.f64 (exp.f64 -1) 3))))))
(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (.f64 (pow.f64 (exp.f64 -1) 3) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))))) (pow.f64 f 3))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1))) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f) (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 2 (.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)))) (pow.f64 (exp.f64 -1) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 (-.f64 (*.f64 -1 n) n) (pow.f64 (exp.f64 -1) 2)))))) (pow.f64 f 3)) (pow.f64 (exp.f64 -1) 3))))))))))
(pow.f64 (exp.f64 -1) 3)
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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)))

Outputs
(*.f64 (E.f64) (pow.f64 (exp.f64 1) 2))
(*.f64 (E.f64) (pow.f64 (E.f64) 2))
(pow.f64 (E.f64) 3)
(+.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (.f64 f (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)) (.f64 2 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)))))
(fma.f64 (E.f64) (pow.f64 (E.f64) 2) (.f64 f (.f64 (/.f64 (E.f64) (/.f64 n (pow.f64 (E.f64) 2))) 6)))
(fma.f64 f (/.f64 (*.f64 (pow.f64 (E.f64) 3) 6) n) (pow.f64 (E.f64) 3))
(+.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2))) (+.f64 (.f64 (E.f64) (+.f64 (.f64 4 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))) (.f64 8 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))))) (.f64 8 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2)))))) (.f64 f (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)) (.f64 2 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n))))))
(fma.f64 (E.f64) (pow.f64 (E.f64) 2) (fma.f64 (.f64 f f) (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (pow.f64 (E.f64) 2))) (fma.f64 (E.f64) (.f64 (/.f64 (pow.f64 (E.f64) 2) (.f64 n n)) 12) (.f64 (/.f64 (E.f64) (/.f64 (.f64 n n) (pow.f64 (E.f64) 2))) 8))) (.f64 f (.f64 (/.f64 (E.f64) (/.f64 n (pow.f64 (E.f64) 2))) 6))))
(+.f64 (pow.f64 (E.f64) 3) (fma.f64 (.f64 f f) (fma.f64 4 (/.f64 (pow.f64 (E.f64) 3) (.f64 n n)) (fma.f64 (E.f64) (/.f64 (.f64 (exp.f64 2) 12) (.f64 n n)) (.f64 (/.f64 (pow.f64 (E.f64) 3) (.f64 n n)) 8))) (.f64 f (/.f64 (.f64 (pow.f64 (E.f64) 3) 6) n))))
(+.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 16 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (.f64 (E.f64) (+.f64 (.f64 4 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))) (.f64 8 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))))) n)) (+.f64 (.f64 (E.f64) (+.f64 (.f64 16 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 3))) (.f64 44/3 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 3))))) (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 3))))))) (+.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2))) (+.f64 (.f64 (E.f64) (+.f64 (.f64 4 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))) (.f64 8 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 n 2))))) (.f64 8 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) (pow.f64 n 2)))))) (.f64 f (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)) (.f64 2 (/.f64 (.f64 (E.f64) (pow.f64 (exp.f64 1) 2)) n)))))))
(fma.f64 (pow.f64 f 3) (fma.f64 16 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 (E.f64) 2))) (fma.f64 2 (/.f64 (E.f64) (/.f64 n (.f64 (/.f64 (pow.f64 (E.f64) 2) (.f64 n n)) 12))) (fma.f64 (E.f64) (.f64 (/.f64 (pow.f64 (E.f64) 2) (pow.f64 n 3)) 92/3) (.f64 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 (E.f64) 2))) 22/3)))) (fma.f64 (E.f64) (pow.f64 (E.f64) 2) (fma.f64 (.f64 f f) (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (pow.f64 (E.f64) 2))) (fma.f64 (E.f64) (.f64 (/.f64 (pow.f64 (E.f64) 2) (.f64 n n)) 12) (.f64 (/.f64 (E.f64) (/.f64 (.f64 n n) (pow.f64 (E.f64) 2))) 8))) (.f64 f (.f64 (/.f64 (E.f64) (/.f64 n (pow.f64 (E.f64) 2))) 6)))))
(fma.f64 (pow.f64 f 3) (fma.f64 16 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 (E.f64) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 2)) 12)) (fma.f64 (E.f64) (.f64 (/.f64 (exp.f64 2) (pow.f64 n 3)) 92/3) (.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 n 3)) 22/3)))) (+.f64 (pow.f64 (E.f64) 3) (fma.f64 (.f64 f f) (fma.f64 4 (/.f64 (pow.f64 (E.f64) 3) (.f64 n n)) (fma.f64 (E.f64) (/.f64 (.f64 (exp.f64 2) 12) (.f64 n n)) (.f64 (/.f64 (pow.f64 (E.f64) 3) (.f64 n n)) 8))) (.f64 f (/.f64 (.f64 (pow.f64 (E.f64) 3) 6) n)))))
(pow.f64 (exp.f64 -1) 3)
(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f) (pow.f64 (exp.f64 -1) 3)))
(fma.f64 2 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (pow.f64 (exp.f64 -1) 3))) (+.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (pow.f64 (exp.f64 -1) 3)))))
(+.f64 (.f64 3 (/.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 f (.f64 n -2)))) (pow.f64 (exp.f64 -1) 3))
(+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f) (pow.f64 (exp.f64 -1) 3))))))
(+.f64 (fma.f64 2 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (pow.f64 (exp.f64 -1) 3))) (+.f64 (/.f64 (fma.f64 2 (.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (pow.f64 (exp.f64 -1) 2)) (.f64 (pow.f64 (-.f64 (neg.f64 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (/.f64 (.f64 f f) (exp.f64 -1))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 n) n) 2) (/.f64 (.f64 f f) (pow.f64 (exp.f64 -1) 3))) (+.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (pow.f64 (exp.f64 -1) 3))))))) (/.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (/.f64 (*.f64 f f) (pow.f64 (exp.f64 -1) 3))))
(+.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 f (.f64 n -2))) (/.f64 (.f64 (exp.f64 -2) (+.f64 (pow.f64 (.f64 n -2) 2) (.f64 2 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2)))))) (/.f64 f (/.f64 (exp.f64 -1) f)))) (fma.f64 2 (.f64 (/.f64 (pow.f64 (.f64 n -2) 2) (.f64 f f)) (pow.f64 (exp.f64 -1) 3)) (+.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 f (.f64 n -2)))))) (.f64 (/.f64 (pow.f64 (exp.f64 -1) 3) (.f64 f f)) (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (.f64 (pow.f64 (exp.f64 -1) 3) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))))) (pow.f64 f 3))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1))) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (pow.f64 (exp.f64 -1) 3)) f) (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 2 (.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)))) (pow.f64 (exp.f64 -1) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 n (-.f64 (.f64 -1 n) n))) (.f64 (-.f64 (*.f64 -1 n) n) (pow.f64 (exp.f64 -1) 2)))))) (pow.f64 f 3)) (pow.f64 (exp.f64 -1) 3))))))))))
(fma.f64 2 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 (pow.f64 f 3) (.f64 (pow.f64 (exp.f64 -1) 3) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2)))))) (fma.f64 2 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (pow.f64 (exp.f64 -1) 3))) (+.f64 (+.f64 (/.f64 (fma.f64 2 (.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (pow.f64 (exp.f64 -1) 2)) (.f64 (pow.f64 (-.f64 (neg.f64 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (/.f64 (pow.f64 f 3) (.f64 (exp.f64 -1) (-.f64 (neg.f64 n) n)))) (/.f64 (fma.f64 2 (.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (pow.f64 (exp.f64 -1) 2)) (.f64 (pow.f64 (-.f64 (neg.f64 n) n) 2) (pow.f64 (exp.f64 -1) 2))) (/.f64 (.f64 f f) (exp.f64 -1)))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 n) n) 2) (/.f64 (.f64 f f) (pow.f64 (exp.f64 -1) 3))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (pow.f64 (exp.f64 -1) 3))) (+.f64 (+.f64 (/.f64 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (/.f64 (.f64 f f) (pow.f64 (exp.f64 -1) 3))) (/.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) (pow.f64 (exp.f64 -1) 3)))) (+.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 3) (.f64 2 (+.f64 (.f64 (pow.f64 (exp.f64 -1) 2) (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 (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (.f64 (-.f64 (neg.f64 n) n) (pow.f64 (exp.f64 -1) 2))))))))))))))
(fma.f64 2 (/.f64 (.f64 n -2) (/.f64 (/.f64 (pow.f64 f 3) (pow.f64 (exp.f64 -1) 3)) (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2))))) (+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 f (.f64 n -2))) (.f64 (/.f64 (.f64 (exp.f64 -2) (+.f64 (pow.f64 (.f64 n -2) 2) (.f64 2 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2)))))) (pow.f64 f 3)) (.f64 (exp.f64 -1) (.f64 n -2)))) (+.f64 (/.f64 (.f64 (exp.f64 -2) (+.f64 (pow.f64 (.f64 n -2) 2) (.f64 2 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2)))))) (/.f64 f (/.f64 (exp.f64 -1) f))) (+.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 (.f64 n -2) 2) (.f64 f f)) (pow.f64 (exp.f64 -1) 3)) (/.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 f (.f64 n -2)))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -1) 3) (.f64 f f)) (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2)))) (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (.f64 n n) (.f64 n -2)))) (/.f64 (pow.f64 f 3) (pow.f64 (exp.f64 -1) 3)))) (+.f64 (pow.f64 (exp.f64 -1) 3) (.f64 (/.f64 (exp.f64 -1) (pow.f64 f 3)) (.f64 2 (.f64 (exp.f64 -2) (+.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (.f64 n n) (.f64 n -2)))) (.f64 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2))) (*.f64 n -2))))))))))))
(pow.f64 (exp.f64 -1) 3)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (-.f64 n (.f64 -1 n)) (pow.f64 (exp.f64 -1) 3))) (.f64 (-.f64 n (.f64 -1 n)) (pow.f64 (exp.f64 -1) 3))) f)) (pow.f64 (exp.f64 -1) 3))
(fma.f64 -1 (/.f64 (.f64 3 (.f64 (pow.f64 (exp.f64 -1) 3) (-.f64 n (neg.f64 n)))) f) (pow.f64 (exp.f64 -1) 3))
(+.f64 (pow.f64 (exp.f64 -1) 3) (/.f64 (.f64 -3 (.f64 (pow.f64 (exp.f64 -1) 3) (+.f64 n n))) f))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 (pow.f64 (-.f64 n (.f64 -1 n)) 2) (pow.f64 (exp.f64 -1) 2)) (.f64 2 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (pow.f64 (exp.f64 -1) 2))))) (pow.f64 f 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (-.f64 n (.f64 -1 n)) (pow.f64 (exp.f64 -1) 3))) (.f64 (-.f64 n (.f64 -1 n)) (pow.f64 (exp.f64 -1) 3))) 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))) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 2) (pow.f64 (exp.f64 -1) 3)) (pow.f64 f 2))) (pow.f64 (exp.f64 -1) 3)))))
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(+.f64 (+.f64 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)) (.f64 (/.f64 (fma.f64 n (.f64 n -2) (.f64 1/2 (pow.f64 (.f64 n -2) 2))) (.f64 f f)) (exp.f64 -1))) (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (.f64 n n) (*.f64 n -2)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))
(exp.f64 -1)
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(+.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))
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(+.f64 (+.f64 (exp.f64 -1) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))) (/.f64 f (/.f64 (exp.f64 -1) f)))) (/.f64 -2 (/.f64 f (*.f64 n (exp.f64 -1)))))
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(fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (+.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)))) (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))))))
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(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1))
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(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 (.f64 2/3 (.f64 (pow.f64 n 3) (exp.f64 -1))) (pow.f64 f 3)))))
(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 (pow.f64 n 3) (/.f64 (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 (/.f64 f n) (E.f64)) (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 (.f64 (/.f64 2 (/.f64 n f)) (E.f64)) (+.f64 (E.f64) (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n))))
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(+.f64 (+.f64 (.f64 (/.f64 2 (/.f64 n f)) (E.f64)) (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n))) (+.f64 (E.f64) (/.f64 (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)))) (/.f64 (pow.f64 n 3) (E.f64)))))
(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 (/.f64 f n) (E.f64)) (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 (.f64 (/.f64 2 (/.f64 n f)) (E.f64)) (+.f64 (E.f64) (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) 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 (.f64 (/.f64 2 (/.f64 n f)) (E.f64)) (-.f64 (+.f64 (E.f64) (.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 2 (.f64 f f))) n))) (.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))))
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 f (/.f64 (*.f64 n n) f)) 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 f (/.f64 (*.f64 n n) f)) 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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (.f64 -2 (/.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 n (/.f64 (.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (+.f64 (.f64 (/.f64 (.f64 n n) (pow.f64 f 3)) (.f64 n -2)) (.f64 (/.f64 n f) (*.f64 -2 (/.f64 n f)))) (/.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 (/.f64 (.f64 (neg.f64 n) (-.f64 n (neg.f64 n))) (.f64 f f)) (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f) -1))
(+.f64 (.f64 (/.f64 n f) (.f64 -2 (/.f64 n f))) (fma.f64 -2 (/.f64 n f) -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.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)
(+.f64 (+.f64 (.f64 (/.f64 n f) (.f64 -2 (/.f64 n f))) (+.f64 (.f64 (/.f64 (.f64 n n) (pow.f64 f 3)) (.f64 n -2)) (.f64 -2 (/.f64 n f)))) -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 (.f64 -2 (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (*.f64 (/.f64 n f) (/.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 (/.f64 n f) (/.f64 n f)) (/.f64 n f)) -1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (.f64 2 (/.f64 f (/.f64 (.f64 n n) f)))) (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) 1) (+.f64 (/.f64 f n) (/.f64 (.f64 (*.f64 f f) (-.f64 f (neg.f64 f))) (pow.f64 n 3)))) (/.f64 (neg.f64 f) n))
(+.f64 (+.f64 (fma.f64 2 (/.f64 f (/.f64 (.f64 n n) f)) 1) (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (/.f64 f n))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (.f64 2 (/.f64 f (/.f64 (.f64 n n) f)))) (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (.f64 n n) f)) 1) (+.f64 (/.f64 f n) (/.f64 (.f64 (*.f64 f f) (-.f64 f (neg.f64 f))) (pow.f64 n 3)))) (/.f64 (neg.f64 f) n))
(+.f64 (+.f64 (fma.f64 2 (/.f64 f (/.f64 (.f64 n n) f)) 1) (+.f64 (/.f64 f n) (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (/.f64 f n))

prune230.0ms (9.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	261	3	264

Error

Counts

264 → 3

Alt Table

Status

Error

Program

1.3b

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

▶

0.0b

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

✓

0.0b

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

Compiler

Compiled 8569 to 5382 computations (37.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	n	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms	f	@	inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms	f	@	-inf	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`prod-diff_binary64`
317×	`fma-def_binary64`
155×	`expm1-udef_binary64`
155×	`log1p-udef_binary64`
145×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	166	22
2	2514	22

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

761×	`associate-/l*_binary64`
233×	`fma-neg_binary64`
193×	`associate-/r/_binary64`
193×	`distribute-rgt-in_binary64`
175×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1492
1	717	1268
2	2469	1083

Stop Event

1×	node limit

Counts

121 → 130

Calls

Call 1

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

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n))) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1)
(+.f64 (.f64 2 (.f64 (/.f64 f n) (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (.f64 2 (/.f64 (.f64 (E.f64) f) n)))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1)
(+.f64 (fma.f64 2 (.f64 (/.f64 f n) (E.f64)) (E.f64)) (fma.f64 4 (.f64 (/.f64 (.f64 f f) (.f64 n n)) (E.f64)) -1))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (.f64 2 (/.f64 (.f64 (E.f64) f) n))))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1)
(fma.f64 4 (.f64 (/.f64 (E.f64) n) (/.f64 (.f64 f f) n)) (+.f64 (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 2 (.f64 (/.f64 (E.f64) n) f))) (expm1.f64 1)))
(fma.f64 4 (.f64 (/.f64 (.f64 f f) (.f64 n n)) (E.f64)) (+.f64 (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 (/.f64 n f) 3)) (.f64 2 (*.f64 (/.f64 f n) (E.f64)))) (expm1.f64 1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2)))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 (.f64 (.f64 n -2) 1/2) n)) (.f64 f f)) (*.f64 -2 (/.f64 n f)))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 n) n) 3)) (+.f64 (.f64 n (pow.f64 (-.f64 (.f64 -1 n) n) 2)) (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (.f64 (.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1))
(+.f64 (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2)))) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (fma.f64 n (pow.f64 (.f64 n -2) 2) (.f64 (pow.f64 n 3) -2))) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))))
(+.f64 (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (.f64 n -2) 3) (.f64 (.f64 n (.f64 n -2)) (+.f64 (.f64 n -2) n))) f) (.f64 (.f64 n -2) (+.f64 (.f64 (.f64 n -2) 1/2) n)))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (.f64 (/.f64 (exp.f64 -1) (.f64 f f)) (fma.f64 1/2 (pow.f64 (.f64 n -2) 2) (.f64 n (.f64 n -2)))) (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 (.f64 (.f64 n -2) 1/2) n)) (.f64 f f)) (*.f64 -2 (/.f64 n f)))) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 1/2 (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (pow.f64 (-.f64 n (.f64 -1 n)) 2))) (+.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (.f64 1/6 (pow.f64 (-.f64 n (.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (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))))))) -1)
(+.f64 -1 (+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 f f) (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (.f64 n (.f64 n -2))))) (+.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 -2 (/.f64 f (.f64 n (exp.f64 -1)))))))
(+.f64 -1 (+.f64 (-.f64 (exp.f64 -1) (.f64 (/.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 n n) 3) (.f64 2 (pow.f64 n 3))) (.f64 n (pow.f64 (+.f64 n n) 2))) (pow.f64 f 3)) (exp.f64 -1))) (.f64 (exp.f64 -1) (+.f64 (/.f64 (.f64 (.f64 n -2) (+.f64 (.f64 (.f64 n -2) 1/2) n)) (.f64 f f)) (.f64 -2 (/.f64 n f))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (exp.f64 -1)) (.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))) -1)
(fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (/.f64 2/3 (/.f64 (pow.f64 f 3) (.f64 (pow.f64 n 3) (exp.f64 -1)))) (expm1.f64 -1)))
(fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (.f64 2/3 (*.f64 (pow.f64 (/.f64 n f) 3) (exp.f64 -1))) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 n (exp.f64 -1)) f) (fma.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 -1 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1)))))
(+.f64 -1 (fma.f64 -2 (.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 f 4) (exp.f64 -1))) (fma.f64 2/3 (.f64 (pow.f64 (/.f64 n f) 3) (exp.f64 -1)) (exp.f64 -1)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1)
(+.f64 (.f64 2 (.f64 (/.f64 f n) (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (neg.f64 f))) n) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) 1))
(+.f64 -1 (+.f64 (fma.f64 2 (.f64 (/.f64 (E.f64) n) f) (E.f64)) (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 f (+.f64 f f))))))
(+.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 f (*.f64 1/2 (+.f64 f f)))) n) (+.f64 f f))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (-.f64 f (.f64 -1 f))) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (/.f64 (.f64 (E.f64) (+.f64 (.f64 f (pow.f64 (-.f64 f (.f64 -1 f)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))))) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (neg.f64 f))) n) (/.f64 (.f64 (E.f64) (fma.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2) (fma.f64 1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (.f64 (.f64 f f) (-.f64 f (neg.f64 f)))))) (pow.f64 n 3)))) 1))
(+.f64 -1 (+.f64 (+.f64 (fma.f64 2 (.f64 (/.f64 (E.f64) n) f) (E.f64)) (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 f (+.f64 f f))))) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 f (pow.f64 (+.f64 f f) 2) (fma.f64 1/6 (pow.f64 (+.f64 f f) 3) (.f64 2 (pow.f64 f 3)))))))
(+.f64 (E.f64) (+.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 f (.f64 1/2 (+.f64 f f)))) n) (+.f64 f f))) (fma.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 f (.f64 4 (.f64 f f)) (fma.f64 1/6 (.f64 (pow.f64 f 3) 8) (*.f64 2 (pow.f64 f 3)))) -1)))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n)) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1)
(+.f64 (.f64 2 (.f64 (/.f64 f n) (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (neg.f64 f))) n) (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) 1))
(+.f64 -1 (+.f64 (fma.f64 2 (.f64 (/.f64 (E.f64) n) f) (E.f64)) (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 f (+.f64 f f))))))
(+.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 f (*.f64 1/2 (+.f64 f f)))) n) (+.f64 f f))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (.f64 1/2 (pow.f64 (-.f64 f (.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (.f64 -1 f))) n) (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 f (.f64 -1 f)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) f)) (.f64 -1 (.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 (.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))))) (+.f64 (/.f64 (.f64 (E.f64) (-.f64 f (neg.f64 f))) n) (neg.f64 (/.f64 (.f64 (E.f64) (fma.f64 -1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (.f64 -1 (+.f64 (.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2)) (.f64 (.f64 f f) (-.f64 f (neg.f64 f))))))) (pow.f64 n 3))))) 1))
(+.f64 (+.f64 (.f64 (/.f64 (E.f64) (.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (.f64 f (+.f64 f f)))) (-.f64 (.f64 2 (.f64 (/.f64 (E.f64) n) f)) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (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)))))))) (expm1.f64 1))
(+.f64 (-.f64 (.f64 (/.f64 (E.f64) n) (+.f64 (/.f64 (.f64 (+.f64 f f) (+.f64 f (.f64 1/2 (+.f64 f f)))) n) (+.f64 f f))) (.f64 (/.f64 (E.f64) (pow.f64 n 3)) (+.f64 (.f64 (pow.f64 f 3) -2) (.f64 (.f64 4 (.f64 f f)) (-.f64 (*.f64 -1/6 (+.f64 f f)) f))))) (expm1.f64 1))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 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 2 (/.f64 2 (/.f64 n f)))))
(+.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 2 (/.f64 2 (/.f64 n f))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 -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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (/.f64 (.f64 n -2) f)) (/.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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 -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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (/.f64 (.f64 n -2) f)) (/.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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 -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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (.f64 (/.f64 n f) (/.f64 (.f64 n -2) f)) (/.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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (.f64 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 2 (/.f64 2 (/.f64 n f)))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (.f64 2 (pow.f64 (/.f64 f n) 3))) (.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 2 (/.f64 2 (/.f64 n f)))))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (.f64 2 (pow.f64 (/.f64 f n) 3))) (.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))

prune107.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	188	3	191

Error

Counts

191 → 3

Alt Table

Status

Error

Program

1.3b

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

✓

0.0b

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

✓

0.0b

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

Compiler

Compiled 3577 to 1823 computations (49% saved)

regimes159.0ms (6.6%)

Accuracy

Total 0.0b remaining (33.8%)

Threshold costs 0.0b (33.8%)

Counts

94 → 1

Compiler

Compiled 960 to 458 computations (52.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`cancel-sign-sub-inv_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`distribute-neg-in_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	19	14
2	33	14
3	51	12
4	71	12
5	78	12

Stop Event

1×

saturated

Calls

Call 1

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

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

end57.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 64 to 40 computations (37.5% saved)

Details

analyze217.0ms (9%)

sample784.0ms (32.4%)

preprocess62.0ms (2.6%)

simplify49.0ms (2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite162.0ms (6.7%)

simplify44.0ms (1.8%)

prune36.0ms (1.5%)

localize7.0ms (0.3%)

series10.0ms (0.4%)

rewrite49.0ms (2%)

simplify40.0ms (1.7%)

prune126.0ms (5.2%)

localize10.0ms (0.4%)

series22.0ms (0.9%)

rewrite62.0ms (2.5%)

simplify70.0ms (2.9%)

prune230.0ms (9.5%)

localize7.0ms (0.3%)

series5.0ms (0.2%)

rewrite46.0ms (1.9%)

simplify46.0ms (1.9%)

prune107.0ms (4.4%)

regimes159.0ms (6.6%)

simplify2.0ms (0.1%)

end57.0ms (2.3%)

Profiling