Details

analyze74.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample710.0ms (11.6%)

Results

700.0ms

8256×

body

256

valid

Bogosity

preprocess104.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	29	24
2	55	24
3	116	24
4	271	24
5	568	20
6	1410	20
7	3565	20
8	4602	20
9	4909	20
10	5050	20
11	5088	20
12	5098	20
13	5098	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 81

Calls

Call 1

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

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

eval34.0ms (0.6%)

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

prune16.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Error

Counts

82 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	29.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶	0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -2)))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	30.2b	1
	34.4b	-1

Compiler

Compiled 141 to 89 computations (36.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	-inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	n	@	-inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	n	@	inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	f	@	inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	f	@	-inf	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite128.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
481×	`log-prod_binary64`
326×	`fma-def_binary64`
257×	`pow2_binary64`
227×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	189	20
2	2906	20

Stop Event

1×	node limit

Counts

2 → 275

Calls

Call 1

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

Outputs
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Outputs

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

simplify331.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

507×	`fma-neg_binary64`
462×	`+-commutative_binary64`
405×	`associate-+l+_binary64`
397×	`associate-+r+_binary64`
285×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	826	16531
1	2138	12512
2	7743	12506

Stop Event

1×	node limit

Counts

323 → 574

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Compiler

Compiled 25 to 10 computations (60% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(/.f64 1 (-.f64 n f))
1.0ms	n	@	0	(/.f64 1 (-.f64 n f))
0.0ms	f	@	inf	(/.f64 1 (-.f64 n f))
0.0ms	n	@	-inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	-inf	(/.f64 1 (-.f64 n f))

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

163 → 195

Calls

Call 1

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

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

localize11.0ms (0.2%)

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)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

170 → 263

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 17 computations (76.1% saved)

series25.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
593×	`log-prod_binary64`
344×	`fma-def_binary64`
212×	`expm1-udef_binary64`
212×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	252	40
2	3635	40

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n f) (*.f64 (/.f64 1 (-.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 n f) 2) (*.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) -2) (pow.f64 (/.f64 1 (+.f64 n f)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2)) -2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -2) (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (+.f64 n f)) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)) 1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 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simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-def_binary64`
452×	`associate-r_binary64`
386×	`associate-l_binary64`
314×	`associate-+r+_binary64`
311×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	703	4294972756
1	2148	4809

Stop Event

1×	node limit

Counts

181 → 278

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 4 (/.f64 n f)))
(+.f64 (.f64 8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (.f64 4 (/.f64 n f))))
(+.f64 (.f64 8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (+.f64 (.f64 4 (/.f64 n f)) (*.f64 12 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
1
(-.f64 (+.f64 (.f64 2 (/.f64 f n)) 1) (.f64 -2 (/.f64 f n)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))))) (.f64 -2 (/.f64 f n)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))))) (+.f64 (.f64 -1 (.f64 f (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)))) (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)))) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f))))) (pow.f64 n 3))) (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))))))) (.f64 -2 (/.f64 f n)))
1
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 f) (*.f64 2 f)) n)) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 f) (.f64 2 f)) n)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 f) f) 2) (pow.f64 n 2)) 1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 f) (.f64 2 f)) n)) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 f) f) 2) (pow.f64 n 2)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f))))) (+.f64 (.f64 -1 (.f64 f (pow.f64 (-.f64 (.f64 -1 f) f) 2))) (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (-.f64 (.f64 -1 f) f))) (.f64 -1 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (*.f64 -1 f) f)))))))) (pow.f64 n 3)))))))
1
(+.f64 (*.f64 4 (/.f64 f n)) 1)
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 1 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 1 (+.f64 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 12 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
1
(+.f64 1 (.f64 -2 (/.f64 (-.f64 (.f64 -1 n) n) f)))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2)) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) (.f64 -2 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 n) n) 2) (pow.f64 f 2)) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 n) n) f)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (-.f64 (.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 (.f64 2 (/.f64 (.f64 n (.f64 (-.f64 n (.f64 -1 n)) (-.f64 (.f64 -1 n) n))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 n) n) (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 -1 (.f64 (-.f64 n (.f64 -1 n)) (-.f64 (.f64 -1 n) n))))) (pow.f64 f 3))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 n (.f64 -1 n)) (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 -1 (.f64 (-.f64 n (.f64 -1 n)) (-.f64 (.f64 -1 n) n))))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 n (.f64 -1 n)))) (.f64 -1 (.f64 (-.f64 n (.f64 -1 n)) (-.f64 (.f64 -1 n) n)))) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3))) (.f64 -2 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))))))))))))
1
(+.f64 (.f64 2 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
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1
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(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (+.f64 n f)) (-.f64 n f))
(/.f64 (.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (.f64 (neg.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 n f) (/.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f))) (neg.f64 (-.f64 n f)))
(/.f64 (.f64 (+.f64 n f) (neg.f64 (+.f64 n f))) (.f64 (-.f64 n f) (neg.f64 (-.f64 n f))))
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (+.f64 n f))) (neg.f64 (-.f64 n f)))
(/.f64 (.f64 (neg.f64 (+.f64 n f)) 1) (.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 n f) (+.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))
(exp.f64 (*.f64 -2 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) 1))
(+.f64 0 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2))
(.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6) (.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (+.f64 n f))) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) 1)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1))
(+.f64 0 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2))
(*.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (/.f64 1 (-.f64 n f)) 1/3))
(*.f64 (cbrt.f64 (+.f64 n f)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(*.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6) (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 n f))) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 n f))) (neg.f64 (cbrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) 1/2)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1))

Outputs
1
(+.f64 1 (*.f64 4 (/.f64 n f)))
(fma.f64 4 (/.f64 n f) 1)
(+.f64 (.f64 8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (.f64 4 (/.f64 n f))))
(fma.f64 8 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 1 (*.f64 4 (/.f64 n f))))
(fma.f64 8 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 4 (/.f64 n f) 1))
(+.f64 (.f64 8 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 1 (+.f64 (.f64 4 (/.f64 n f)) (*.f64 12 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(fma.f64 8 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 1 (fma.f64 4 (/.f64 n f) (*.f64 12 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(+.f64 (fma.f64 8 (.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 4 (/.f64 n f) 1)) (.f64 12 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))
1
(-.f64 (+.f64 (.f64 2 (/.f64 f n)) 1) (.f64 -2 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f 2) n))
(fma.f64 4 (/.f64 f n) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))))) (.f64 -2 (/.f64 f n)))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))) (.f64 n n)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) (.f64 n n)))) (/.f64 (.f64 f 2) n))
(+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 f -2) (+.f64 (+.f64 f f) (neg.f64 f))) (.f64 n n)) (/.f64 (.f64 f (.f64 f 4)) (.f64 n n))) (fma.f64 4 (/.f64 f n) 1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))))) (+.f64 (.f64 -1 (.f64 f (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)))) (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)))) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (+.f64 (.f64 (-.f64 f (.f64 -1 f)) (-.f64 (.f64 -1 f) f)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f))))) (pow.f64 n 3))) (/.f64 (pow.f64 (-.f64 f (.f64 -1 f)) 2) (pow.f64 n 2))))))) (.f64 -2 (/.f64 f n)))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))) (.f64 n n)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (fma.f64 -2 (/.f64 (fma.f64 -1 (.f64 (-.f64 (neg.f64 f) f) (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f)))) (fma.f64 -1 (.f64 f (.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f))) (.f64 (.f64 f f) (-.f64 (neg.f64 f) f)))) (pow.f64 n 3)) (fma.f64 -2 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))))) (/.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) (.f64 n n)))))) (/.f64 (*.f64 f 2) n))
(+.f64 (/.f64 (.f64 2 (.f64 (.f64 f -2) (+.f64 (.f64 f -2) f))) (.f64 n n)) (+.f64 (+.f64 1 (fma.f64 -2 (/.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 f -2) (.f64 (pow.f64 f 3) 4)) (+.f64 (.f64 (pow.f64 f 3) -4) (pow.f64 (+.f64 f f) 3))) (pow.f64 n 3)) (fma.f64 -2 (/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 f f) 3)) (.f64 (pow.f64 f 3) 4)) (pow.f64 n 3)) (/.f64 (.f64 f (.f64 f 4)) (*.f64 n n))))) (/.f64 4 (/.f64 n f))))
1
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 f) (*.f64 2 f)) n)) 1)
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f 2) n))
(fma.f64 4 (/.f64 f n) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 f) (.f64 2 f)) n)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 f) f) 2) (pow.f64 n 2)) 1)))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))) (.f64 n n)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) (.f64 n n)))) (/.f64 (.f64 f 2) n))
(+.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 f -2) (+.f64 (+.f64 f f) (neg.f64 f))) (.f64 n n)) (/.f64 (.f64 f (.f64 f 4)) (.f64 n n))) (fma.f64 4 (/.f64 f n) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 f) (.f64 2 f)) n)) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 f) f) 2) (pow.f64 n 2)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (pow.f64 n 2))) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f))))) (+.f64 (.f64 -1 (.f64 f (pow.f64 (-.f64 (.f64 -1 f) f) 2))) (.f64 -1 (.f64 (pow.f64 f 2) (-.f64 (.f64 -1 f) f)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (.f64 -1 f) f)))) (-.f64 (.f64 -1 f) f))) (.f64 -1 (.f64 (-.f64 (.f64 -1 f) f) (+.f64 (.f64 -1 (pow.f64 (-.f64 (.f64 -1 f) f) 2)) (.f64 -1 (.f64 f (-.f64 (*.f64 -1 f) f)))))))) (pow.f64 n 3)))))))
(fma.f64 -1 (/.f64 (.f64 f -4) n) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 n n)) (fma.f64 -2 (/.f64 (fma.f64 -1 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))) (.f64 n n)) (+.f64 1 (neg.f64 (/.f64 (fma.f64 -2 (fma.f64 (-.f64 (neg.f64 f) f) (fma.f64 -1 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))) (.f64 -1 (+.f64 (.f64 f (pow.f64 (-.f64 (neg.f64 f) f) 2)) (.f64 (.f64 f f) (-.f64 (neg.f64 f) f))))) (.f64 -1 (+.f64 (.f64 (-.f64 (neg.f64 f) f) (fma.f64 -1 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f)))) (.f64 (-.f64 (neg.f64 f) f) (fma.f64 -1 (pow.f64 (-.f64 (neg.f64 f) f) 2) (.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))))))) (pow.f64 n 3)))))))
(+.f64 (+.f64 (/.f64 (.f64 2 (.f64 (.f64 f -2) (+.f64 (.f64 f -2) f))) (.f64 n n)) (-.f64 1 (/.f64 (fma.f64 -2 (+.f64 (+.f64 (pow.f64 (+.f64 f f) 3) (.f64 (+.f64 f f) (.f64 f (.f64 -4 f)))) (+.f64 (pow.f64 f 3) (pow.f64 f 3))) (.f64 (+.f64 (.f64 (pow.f64 f 3) -4) (pow.f64 (+.f64 f f) 3)) -2)) (pow.f64 n 3)))) (+.f64 (/.f64 (.f64 f (.f64 f 4)) (*.f64 n n)) (/.f64 4 (/.f64 n f))))
1
(+.f64 (*.f64 4 (/.f64 f n)) 1)
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f 2) n))
(fma.f64 4 (/.f64 f n) 1)
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 1 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 4 (/.f64 f n) (+.f64 1 (/.f64 (.f64 8 (.f64 f f)) (*.f64 n n))))
(fma.f64 4 (/.f64 f n) (fma.f64 8 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 (.f64 4 (/.f64 f n)) (+.f64 1 (+.f64 (.f64 8 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 12 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 (fma.f64 4 (/.f64 f n) 1) (fma.f64 8 (/.f64 (.f64 f f) (.f64 n n)) (/.f64 (*.f64 12 (pow.f64 f 3)) (pow.f64 n 3))))
(+.f64 (fma.f64 4 (/.f64 f n) 1) (fma.f64 12 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (/.f64 8 n) (/.f64 (.f64 f f) n))))
1
(+.f64 1 (.f64 -2 (/.f64 (-.f64 (.f64 -1 n) n) f)))
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(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (+.f64 n f)) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (+.f64 n f))) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (+.f64 n f)) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2/3)
(.f64 (.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/6) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/6)) (*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/6) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/6)))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2) 3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(exp.f64 (*.f64 2/3 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) 1/3))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(+.f64 0 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) 1)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 1 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (/.f64 1 (-.f64 n f)) 1/3))
(*.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (+.f64 n f)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6) (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f)))
(*.f64 (cbrt.f64 (+.f64 n f)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 n f))) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (-.f64 (neg.f64 n) f)) (cbrt.f64 (+.f64 (neg.f64 n) f)))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 n f))) (neg.f64 (cbrt.f64 (-.f64 n f))))
(*.f64 1 (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) 1/2)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/3)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 3)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6) 2)
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(fabs.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/3))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1))
(cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))

eval684.0ms (11.1%)

Compiler: Compiled 49546 to 18715 computations (62.2% saved)

prune459.0ms (7.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1492	3	1495
Fresh	0	2	2
Picked	1	0	1
Done	3	2	5
Total	1496	7	1503

Error

Counts

1503 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
▶	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	29.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	30.2b	1
	34.4b	-1

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	5369
1	1454	4862
2	5226	4788

Stop Event

1×	node limit

Counts

287 → 378

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	n	@	inf	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
0.0ms	n	@	0	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
0.0ms	n	@	-inf	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
0.0ms	f	@	0	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
0.0ms	n	@	inf	(/.f64 (-.f64 n f) (+.f64 n f))

rewrite113.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
483×	`log-prod_binary64`
306×	`pow-prod-down_binary64`
253×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	184	20
2	2798	20

Stop Event

1×	node limit

Counts

2 → 289

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (/.f64 1 (-.f64 n f))) (*.f64 f (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 f (/.f64 1 (-.f64 n f))) (*.f64 n (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (+.f64 n f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 n f)) 1) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 n 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(/.f64 (-.f64 n f) (+.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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simplify209.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

541×	`fma-neg_binary64`
420×	`+-commutative_binary64`
377×	`associate-+l+_binary64`
364×	`associate-+r+_binary64`
202×	`fma-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	797	15820
1	1985	11543
2	6735	11477

Stop Event

1×	node limit

Counts

337 → 552

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 9 computations (78.6% saved)

series10.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
503×	`fma-def_binary64`
304×	`pow2_binary64`
262×	`fma-neg_binary64`
250×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	217	37
2	3523	37

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify139.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

447×	`fma-def_binary64`
341×	`log-prod_binary64`
264×	`+-commutative_binary64`
254×	`associate-/l*_binary64`
226×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	8216
1	2087	6985
2	7555	6985

Stop Event

1×	node limit

Counts

378 → 470

Calls

Call 1

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

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

eval435.0ms (7.1%)

Compiler: Compiled 40592 to 13547 computations (66.6% saved)

prune505.0ms (8.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1399	1	1400
Fresh	0	2	2
Picked	1	0	1
Done	0	4	4
Total	1400	7	1407

Error

Counts

1407 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
▶	0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	29.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	30.2b	1
	34.4b	-1

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 9 computations (78.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
502×	`fma-def_binary64`
297×	`pow2_binary64`
268×	`log-div_binary64`
262×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	214	13
2	3517	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

810×	`associate-/l*_binary64`
364×	`distribute-rgt-in_binary64`
329×	`distribute-lft-in_binary64`
268×	`cancel-sign-sub-inv_binary64`
179×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	1329
1	722	1118
2	2765	942

Stop Event

1×	node limit

Counts

55 → 92

Calls

Call 1

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

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

eval174.0ms (2.8%)

Compiler: Compiled 11455 to 4380 computations (61.8% saved)

prune110.0ms (1.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	479	0	479
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	479	7	486

Error

Counts

486 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓	0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
✓	0.0b	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	29.6b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	30.2b	1
	34.4b	-1

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes76.0ms (1.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	f
7.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 144 to 58 computations (59.7% saved)

regimes22.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	f
4.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 61 to 34 computations (44.3% saved)

regimes66.0ms (1.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	n
19.0ms	f

Results

Error	Segments	Branch
11.4b	5	`f`
15.7b	5	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch81.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	8.69986623815358e+19	1.8033777398824224e+34
14.0ms	-1.4567788444436174e-156	-2.504584413610417e-159
38.0ms	-5.0093899064175084e-93	-7.639907785769756e-98
13.0ms	-1.421416271062617e-8	-3.1516603029850307e-10

Results

74.0ms

544×

body

256

valid

Compiler

Compiled 491 to 418 computations (14.9% saved)

regimes71.0ms (1.2%)

Accuracy

Total -51.2b remaining (-434.2%)

Threshold costs -51.2b (-434.2%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1
1
-1

Calls

2 calls:

52.0ms	f
18.0ms	n

Results

Error	Segments	Branch
11.8b	5	`f`
15.9b	5	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch66.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	8.69986623815358e+19	1.8033777398824224e+34
34.0ms	-1.4567788444436174e-156	-2.504584413610417e-159
16.0ms	-5.0093899064175084e-93	-7.639907785769756e-98
11.0ms	-1.421416271062617e-8	-3.1516603029850307e-10

Results

61.0ms

432×

body

256

valid

Compiler

Compiled 231 to 226 computations (2.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	100
1	45	100
2	48	100
3	50	100
4	51	100

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -2030995376952577/4835703278458516698824704) -1 (if (<=.f64 f -4386551471082979/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -5603579408375025/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) -1 (if (<=.f64 f 2100000000000000125829120) (+.f64 (.f64 2 (/.f64 f n)) 1) -1))))
(if (<=.f64 f -5077488442381443/4835703278458516698824704) -1 (if (<=.f64 f -3270674342474151/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) 1 (if (<=.f64 f -5603579408375025/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) -1 (if (<=.f64 f 100000000000000000000) 1 -1))))
-1

Outputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 f -2030995376952577/4835703278458516698824704) -1 (if (<=.f64 f -4386551471082979/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -5603579408375025/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) -1 (if (<=.f64 f 2100000000000000125829120) (+.f64 (.f64 2 (/.f64 f n)) 1) -1))))
(if (<=.f64 f -2030995376952577/4835703278458516698824704) -1 (if (<=.f64 f -4386551471082979/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 f -5603579408375025/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) -1 (if (<=.f64 f 2100000000000000125829120) (+.f64 1 (.f64 2 (/.f64 f n))) -1))))
(if (<=.f64 f -5077488442381443/4835703278458516698824704) -1 (if (<=.f64 f -3270674342474151/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) 1 (if (<=.f64 f -5603579408375025/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) -1 (if (<=.f64 f 100000000000000000000) 1 -1))))
-1

Compiler

Compiled 81 to 60 computations (25.9% saved)

soundness218.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 150 to 98 computations (34.7% saved)

end58.0ms (1%)

Compiler: Compiled 73 to 50 computations (31.5% saved)

Details

analyze74.0ms (1.2%)

sample710.0ms (11.6%)

preprocess104.0ms (1.7%)

simplify88.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite61.0ms (1%)

simplify38.0ms (0.6%)

eval34.0ms (0.6%)

prune16.0ms (0.3%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite128.0ms (2.1%)

simplify331.0ms (5.4%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite50.0ms (0.8%)

simplify33.0ms (0.5%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite54.0ms (0.9%)

simplify69.0ms (1.1%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite86.0ms (1.4%)

simplify83.0ms (1.4%)

localize17.0ms (0.3%)

series25.0ms (0.4%)

rewrite62.0ms (1%)

simplify78.0ms (1.3%)

eval684.0ms (11.1%)

prune459.0ms (7.5%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite72.0ms (1.2%)

simplify102.0ms (1.7%)

localize8.0ms (0.1%)

series9.0ms (0.1%)

rewrite113.0ms (1.8%)

simplify209.0ms (3.4%)

localize11.0ms (0.2%)

series10.0ms (0.2%)

rewrite80.0ms (1.3%)

simplify139.0ms (2.3%)

eval435.0ms (7.1%)

prune505.0ms (8.2%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite62.0ms (1%)

simplify45.0ms (0.7%)

eval174.0ms (2.8%)

prune110.0ms (1.8%)

regimes76.0ms (1.2%)

regimes22.0ms (0.4%)

regimes66.0ms (1.1%)

bsearch81.0ms (1.3%)

regimes71.0ms (1.2%)

bsearch66.0ms (1.1%)

simplify6.0ms (0.1%)

soundness218.0ms (3.5%)

end58.0ms (1%)

Profiling