Details

analyze1.3s (6.6%)

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
21.4%	18.7%	68.7%	0.1%	0%	12.5%	0%	5
26.9%	21.9%	59.3%	0.1%	0%	18.7%	0%	6
33.3%	25%	50%	0.1%	0%	18.7%	6.2%	7
37%	26.5%	45.3%	0.1%	0%	21.9%	6.2%	8
43.9%	28.1%	35.9%	0.1%	2.3%	21.9%	11.7%	9
47.1%	28.9%	32.4%	0.1%	2.7%	23.4%	12.5%	10
53.3%	30.3%	26.5%	0.1%	4.1%	23.4%	15.5%	11
55.2%	30.7%	25%	0.1%	4.4%	24.2%	15.6%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample7.4s (37.8%)

Results

2.2s	2795×	body	1024	valid
1.6s	1796×	body	2048	valid
1.4s	1537×	body	1024	invalid
553.0ms	2439×	body	256	valid
528.0ms	1226×	body	512	valid
315.0ms	739×	body	512	invalid
249.0ms	205×	body	1024	infinite
181.0ms	1374×	body	256	invalid
176.0ms	806×	body	256	infinite
113.0ms	229×	body	512	infinite
91.0ms	341×	body	256	unsamplable
7.0ms	5×	body	2048	invalid

Bogosity

preprocess53.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1218×	`distribute-lft-neg-in`
1160×	`fma-def`
948×	`distribute-rgt-neg-in`
870×	`*-commutative`
864×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	35	74
2	77	74
3	196	74
4	601	74
5	1819	74
6	5145	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1566×	`distribute-lft-neg-in`
1226×	`distribute-rgt-neg-in`
780×	`*-commutative`
742×	`associate--r+`
732×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	22	37
2	44	37
3	106	37
4	312	37
5	933	37
6	2607	37
7	4964	37

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.2b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	2.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series50.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
14.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
10.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`associate-*r/`
990×	`*-commutative`
686×	`associate-*l/`
494×	`distribute-lft-in`
486×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	227	61
2	3106	61

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs
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Outputs

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

simplify173.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+l-`
1038×	`associate--r+`
1008×	`associate-+r-`
636×	`fma-def`
480×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	15302
1	1365	14436
2	5892	14428

Stop Event

1×	node limit

Counts

208 → 319

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 1 (pow.f64 n -1)))
(*.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)))
(sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)
(*.f64 1 (pow.f64 x (pow.f64 n -1)))
(*.f64 (pow.f64 x (pow.f64 n -1)) 1)
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))
(sqrt.f64 (pow.f64 x (/.f64 2 n)))
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))
(cbrt.f64 (pow.f64 x (/.f64 3 n)))
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))
(exp.f64 (/.f64 (log.f64 x) n))
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n))))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (/.f64 (-.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))))))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))) (.f64 (/.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))) (.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/3 n)) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2))
(fabs.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(+.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 1 (pow.f64 n -1)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)))
(pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 n)))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 2 (/.f64 1 n)))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 2 n))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)))
(sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)))
(sqrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))
(cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)
(pow.f64 x (/.f64 1 n))
(*.f64 1 (pow.f64 x (pow.f64 n -1)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (pow.f64 n -1)) 1)
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))
(pow.f64 (sqrt.f64 x) (*.f64 2 (/.f64 1 n)))
(pow.f64 (sqrt.f64 x) (/.f64 2 n))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n)))
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n)))
(sqrt.f64 (pow.f64 x (/.f64 2 n)))
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (/.f64 1 n))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))
(pow.f64 x (/.f64 1 n))
(cbrt.f64 (pow.f64 x (/.f64 3 n)))
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (/.f64 1 n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (/.f64 1 n))

eval237.0ms (1.2%)

Compiler: Compiled 11763 to 7383 computations (37.2% saved)

prune110.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	301	18	319
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	18	320

Error

0.4b

Counts

320 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.4b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
	45.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n))) (.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
	45.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	45.5b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	45.4b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n)))) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
▶	17.6b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	30.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	28.4b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
	26.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
	27.1b	(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
	49.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	54.8b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	28.2b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
▶	31.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	45.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	41.1b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))))
	39.4b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	45.4b	(.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))

Compiler

Compiled 1330 to 908 computations (31.7% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	4.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series65.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
11.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-*r/`
1216×	`associate-/r*`
1086×	`associate-/l*`
958×	`*-commutative`
904×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	192	36
2	2703	36

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

Inputs
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

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

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simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-+r+`
1086×	`+-commutative`
672×	`associate-/l*`
668×	`associate-r`
598×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	9154
1	1298	8822
2	6780	8798

Stop Event

1×	node limit

Counts

202 → 278

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	3.6b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1600×	`add-cube-cbrt`
1586×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2194	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Outputs

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-*r/`
1358×	`distribute-lft-in`
1080×	`associate-r`
914×	`associate-*l/`
820×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1976
1	306	1798
2	1081	1774
3	4476	1774

Stop Event

1×	node limit

Counts

54 → 63

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1))))
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))))
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1))))
(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1)))))))
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n))))
(.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1))))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (.f64 2 (pow.f64 n -1)))))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	0.2b	(/.f64 (log1p.f64 x) n)
✓	2.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series4.0ms (0%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`associate-*r/`
1066×	`associate-*l/`
868×	`associate-/r*`
686×	`associate-/l*`
526×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	252	59
2	3287	59

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (/.f64 (log1p.f64 x) n))

Outputs

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simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-+r-`
942×	`fma-def`
582×	`+-commutative`
562×	`associate-/l*`
528×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	16553
1	1761	15585
2	7774	15585

Stop Event

1×	node limit

Counts

255 → 379

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 (.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) (+.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 (log1p.f64 x) n) 0)
(+.f64 0 (/.f64 (log1p.f64 x) n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 x) n) 1)
(*.f64 1 (/.f64 (log1p.f64 x) n))
(*.f64 (/.f64 1 n) (log1p.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 n))
(.f64 (.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(*.f64 (/.f64 -1 n) (neg.f64 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) 1) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (pow.f64 n -1/2))
(*.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n)))
(*.f64 (/.f64 (log1p.f64 x) (neg.f64 n)) -1)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) n) (sqrt.f64 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (/.f64 (/.f64 (log1p.f64 x) 1) 1) (/.f64 1 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n) (cbrt.f64 (log1p.f64 x)))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3))))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3)
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
	4.4b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	4.5b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	8.9b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))

Compiler

Compiled 105 to 41 computations (61% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
1.0ms	x	@	inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
1.0ms	n	@	0	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
1.0ms	x	@	0	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
1.0ms	x	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`associate-/r/`
462×	`add-sqr-sqrt`
450×	`*-un-lft-identity`
444×	`pow1`
430×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	131
1	449	107
2	6566	107

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))

(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))

(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))

Outputs

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

simplify174.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-+l-`
774×	`associate-+r-`
616×	`fma-def`
558×	`associate-r`
506×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	15011
1	1480	12399
2	6526	12395

Stop Event

1×	node limit

Counts

213 → 263

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x)))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x))))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
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(-.f64 (+.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 0) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(-.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1) (/.f64 (log1p.f64 x) n)) (-.f64 (/.f64 (log.f64 x) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(-.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1) (/.f64 (log1p.f64 x) n)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1) (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1) (/.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))))) (/.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))
(-.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1) (/.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) (+.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))))))) (/.f64 (.f64 1/8 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))
(.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 1)
(.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))))
(.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) 2) (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (pow.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 2)) (+.f64 (-.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 3) (pow.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 3)) (-.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (pow.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 2)) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(exp.f64 (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1)
(.f64 (log1p.f64 x) (.f64 (log1p.f64 x) (pow.f64 n -2)))
(*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))
(*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 n -2)))
(*.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 1 n))
(*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))
(.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (.f64 n (neg.f64 n))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) (.f64 n n)))
(.f64 (/.f64 1 (.f64 n (neg.f64 n))) (neg.f64 (pow.f64 (log1p.f64 x) 2)))
(.f64 (/.f64 (log1p.f64 x) (.f64 n n)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 n n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(.f64 (/.f64 1 (/.f64 (.f64 n n) (log1p.f64 x))) (log1p.f64 x))
(.f64 (/.f64 1 (/.f64 (.f64 n n) (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (.f64 n n)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)
(pow.f64 (/.f64 (log1p.f64 x) n) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) 1/3)
(pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log1p.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n (neg.f64 n))))
(sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) 1)
(.f64 (log.f64 x) (.f64 (log.f64 x) (pow.f64 n -2)))
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))
(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 x) n) 2))
(*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 n -2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1 n))
(*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 (log.f64 x) 2) n))
(.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (/.f64 1 (.f64 n (neg.f64 n))))
(.f64 (/.f64 (log.f64 x) 1) (/.f64 (log.f64 x) (.f64 n n)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 1 (.f64 n (neg.f64 n))) (neg.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (/.f64 (log.f64 x) (.f64 n n)) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 n n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(.f64 (/.f64 1 (/.f64 (.f64 n n) (log.f64 x))) (log.f64 x))
(.f64 (/.f64 1 (/.f64 (.f64 n n) (cbrt.f64 (pow.f64 (log.f64 x) 4)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (.f64 n n)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1)
(pow.f64 (/.f64 (log.f64 x) n) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) 1/3)
(pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (neg.f64 n))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))

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

localize111.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))))))
✓	6.2b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))
✓	9.5b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
✓	17.1b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))

Compiler

Compiled 268 to 127 computations (52.6% saved)

series17.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))
1.0ms	n	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))
1.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms	x	@	-inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))
1.0ms	n	@	inf	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))))))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`add-sqr-sqrt`
700×	`*-un-lft-identity`
696×	`pow1`
682×	`add-exp-log`
680×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	292
1	722	292

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

Inputs
(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))
(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))
(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (/.f64 1/3 n) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/3 n) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 -1/2 (.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (.f64 (/.f64 -1/2 (.f64 n n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))))))) (#(struct:change 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(.f64 n n))) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))) (-.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 1/3 n) 3) (pow.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) 3))) (+.f64 (.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (/.f64 1/3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (-.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (/.f64 1/3 n) 3) (pow.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) 3)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (+.f64 (.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))) (/.f64 1/3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n))))) x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (exp.f64 (/.f64 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simplify250.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate--l+`
758×	`fma-def`
738×	`associate-/r*`
614×	`associate-+r+`
580×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	16450
1	1410	15712
2	6675	15706

Stop Event

1×	node limit

Counts

162 → 216

Calls

Call 1

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

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

eval989.0ms (5%)

Compiler: Compiled 57392 to 28233 computations (50.8% saved)

prune520.0ms (2.7%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1410	31	1441
Fresh	9	4	13
Picked	1	0	1
Done	2	2	4
Total	1422	37	1459

Error

0.0b

Counts

1459 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	17.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	28.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	18.0b	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
	17.7b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	17.7b	(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) n)
	45.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n))) (.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
	17.7b	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)
	47.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
▶	18.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	44.1b	(/.f64 (/.f64 1 x) n)
	45.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	44.4b	(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
▶	44.9b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
✓	17.6b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	39.6b	(/.f64 (-.f64 x (log.f64 x)) n)
▶	45.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	45.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	39.5b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	17.5b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	30.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	17.9b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	44.4b	(/.f64 1 (*.f64 x n))
	29.1b	(-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))))
	39.6b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
	39.5b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	52.3b	(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) (+.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))) (-.f64 (/.f64 (.f64 1/8 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))) (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))
	39.6b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	54.8b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
	49.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.2b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
	39.7b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	35.6b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	45.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	47.0b	(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
	17.6b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	17.7b	(.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))))))
	45.0b	(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))

Compiler

Compiled 1732 to 1137 computations (34.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	4.8b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series20.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) x)
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`associate-*r/`
1428×	`associate-/r*`
1094×	`associate-/l*`
1058×	`associate-*l/`
986×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	209	49
2	2816	49

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 x 1) x))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (+.f64 x 1) x)

Outputs

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/r*`
788×	`associate-+l+`
654×	`associate-+r+`
636×	`+-commutative`
514×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	5359
1	981	4933
2	3970	4927

Stop Event

1×	node limit

Counts

195 → 259

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`add-sqr-sqrt`
1284×	`*-un-lft-identity`
1192×	`add-cube-cbrt`
1176×	`add-cbrt-cube`
1162×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	139	13
2	1649	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))

Outputs

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1764×	`associate-/r*`
1214×	`associate-r`
1008×	`associate-l`
956×	`associate-/l/`
668×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	647
1	151	647
2	548	641
3	3542	635

Stop Event

1×	node limit

Counts

47 → 29

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/3 (pow.f64 x 3))
✓	0.5b	(/.f64 1/2 (*.f64 x x))
✓	3.6b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
✓	14.0b	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))

Compiler

Compiled 68 to 45 computations (33.8% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
1.0ms	n	@	inf	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
0.0ms	x	@	0	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`associate-/r/`
420×	`associate-+l+`
382×	`add-sqr-sqrt`
360×	`add-cbrt-cube`
360×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	118
1	379	110
2	5607	110

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 1/2 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (/.f64 -1/2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (+.f64 (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/2 (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (neg.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 x 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/8 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/3) x) (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (/.f64 (cbrt.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 1/3 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (.f64 x x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x -3))))))))

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-r`
726×	`fma-def`
696×	`*-commutative`
660×	`associate-l`
624×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	20158
1	1897	19086

Stop Event

1×	node limit

Counts

298 → 415

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 x 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (.f64 1/3 (pow.f64 x -3)) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) (+.f64 (/.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x -2)))))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (/.f64 -1/2 (.f64 x x)) 1 (*.f64 1/2 (pow.f64 x -2))))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/2 (.f64 1/2 (pow.f64 x -2))))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) x)) (/.f64 (sqrt.f64 1/2) x) (.f64 1/2 (pow.f64 x -2))))
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(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (-.f64 (pow.f64 x -2) (/.f64 1/9 (pow.f64 x 6))) (.f64 x x)) (.f64 (+.f64 (/.f64 1 x) (.f64 -1/3 (pow.f64 x -3))) 1/2))) (.f64 (+.f64 (/.f64 1 x) (.f64 -1/3 (pow.f64 x -3))) (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (-.f64 (pow.f64 x -2) (/.f64 1/9 (pow.f64 x 6))) x) (.f64 (+.f64 (/.f64 1 x) (.f64 -1/3 (pow.f64 x -3))) (/.f64 1/2 x)))) (.f64 (+.f64 (/.f64 1 x) (*.f64 -1/3 (pow.f64 x -3))) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (-.f64 (pow.f64 x -2) (/.f64 1/9 (pow.f64 x 6))) (.f64 x (neg.f64 x))) (.f64 (+.f64 (/.f64 1 x) (.f64 -1/3 (pow.f64 x -3))) -1/2))) (.f64 (+.f64 (/.f64 1 x) (.f64 -1/3 (pow.f64 x -3))) (*.f64 x (neg.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x -3) (.f64 1/27 (pow.f64 (pow.f64 x -3) 3))) (.f64 x (/.f64 x 1/2))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) 1))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) (.f64 x (/.f64 x 1/2))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x -3) (.f64 1/27 (pow.f64 (pow.f64 x -3) 3))) (.f64 x x)) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) 1/2))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x -3) (.f64 1/27 (pow.f64 (pow.f64 x -3) 3))) x) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) (/.f64 1/2 x)))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x -3) (.f64 1/27 (pow.f64 (pow.f64 x -3) 3))) (.f64 x (neg.f64 x))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) -1/2))) (.f64 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 4)))) (.f64 x (neg.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (pow.f64 x 4) 1) (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) (.f64 x (/.f64 x 1/2))))) (.f64 (pow.f64 x 4) (.f64 x (/.f64 x 1/2))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) (.f64 x x)) (.f64 (pow.f64 x 4) 1/2))) (pow.f64 x 6))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) x) (.f64 (pow.f64 x 4) (/.f64 1/2 x)))) (.f64 (pow.f64 x 4) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 n)) (+.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) (.f64 x (neg.f64 x))) (.f64 (pow.f64 x 4) -1/2))) (.f64 (pow.f64 x 4) (.f64 x (neg.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 3) (/.f64 1/8 (pow.f64 x 6))) (/.f64 1 n)) (-.f64 (.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) 1/2) (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) 1/2) (pow.f64 x 6)))))) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) 1/2) (pow.f64 x 6)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 3) (/.f64 1/8 (pow.f64 x 6))) (/.f64 1 n)) (+.f64 (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) 3) (pow.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) 1/2) (pow.f64 x 6))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) 1/2) (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 x 1/3)) 1/2) (pow.f64 x 6))))) (.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (/.f64 1 x)) 2) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 (.f64 (+.f64 (pow.f64 x 3) (*.f64 x 1/3)) 1/2) (pow.f64 x 6))))))
(pow.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n) 3) 1/3)
(pow.f64 (/.f64 n (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x)))) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)
(.f64 1 (.f64 1/2 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1/2 x))
(*.f64 1/2 (pow.f64 x -2))
(.f64 (.f64 1/2 (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 1/2 (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) 1/2)
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(.f64 -1/2 (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/2 (cbrt.f64 (.f64 x x))))
(*.f64 (/.f64 (/.f64 1/2 x) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(.f64 (/.f64 (/.f64 1/2 x) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (.f64 x (neg.f64 x))) -1/2)
(*.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))
(.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (neg.f64 x)) -1)
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 x (/.f64 x 1/2)) -1)
(pow.f64 (/.f64 1/8 (pow.f64 x 6)) 1/3)
(sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x -3)))) 1)
(.f64 1 (.f64 1/3 (pow.f64 x -3)))
(.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))
(*.f64 1/3 (pow.f64 x -3))
(.f64 (.f64 1/3 (pow.f64 x -3)) 1)
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)))
(*.f64 (/.f64 (cbrt.f64 1/3) x) (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (/.f64 (cbrt.f64 1/3) x))
(*.f64 (pow.f64 x -2) (/.f64 1/3 x))
(*.f64 (pow.f64 x -3) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 1/3 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) -1/3)
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1 x))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (neg.f64 x)) -1)
(pow.f64 (*.f64 1/3 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) x) 3)
(pow.f64 (*.f64 3 (pow.f64 x 3)) -1)
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 x -3) 3)) 1/3)
(sqrt.f64 (/.f64 1/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x -3)))))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 x -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x -3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x -3))))

Outputs
(/.f64 1/3 (pow.f64 x 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x -2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (*.f64 (pow.f64 x -2) (/.f64 -1/2 n)))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
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(*.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 1/2 (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (/.f64 1/2 x) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1/2 (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 (/.f64 1/2 (.f64 x (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 1 (.f64 x (neg.f64 x))) -1/2)
(/.f64 -1/2 (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1)
(/.f64 -1/2 (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) 1) (/.f64 1 x))
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 1/2 (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1/2 (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 (/.f64 1/2 (.f64 x (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) 1) (neg.f64 x)) -1)
(/.f64 -1/2 (*.f64 x (neg.f64 x)))
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x 1/2)) -1)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (/.f64 1/8 (pow.f64 x 6)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 x 6)))
(sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(/.f64 1/2 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(/.f64 1/2 (*.f64 x x))
(cbrt.f64 (/.f64 1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(/.f64 1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(/.f64 1/2 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))
(/.f64 1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(/.f64 1/2 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x -3)))) 1)
(*.f64 1/3 (pow.f64 x -3))
(.f64 1 (.f64 1/3 (pow.f64 x -3)))
(*.f64 1/3 (pow.f64 x -3))
(.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))
(/.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x -3))
(.f64 (.f64 1/3 (pow.f64 x -3)) 1)
(*.f64 1/3 (pow.f64 x -3))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(*.f64 (/.f64 (cbrt.f64 1/3) x) (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))
(/.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (/.f64 (cbrt.f64 1/3) x))
(/.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x -2) (/.f64 1/3 x))
(/.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x -3) 1/3)
(*.f64 1/3 (pow.f64 x -3))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(/.f64 1/3 (pow.f64 x 3))
(*.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 1/3 (pow.f64 x 3/2)))
(/.f64 1/3 (pow.f64 x 3))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) -1/3)
(/.f64 1/3 (pow.f64 x 3))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1 x))
(/.f64 1/3 (pow.f64 x 3))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(.f64 (pow.f64 x -1/2) (/.f64 1/3 (.f64 (sqrt.f64 x) (*.f64 x x))))
(/.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1/3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x x))))
(/.f64 (/.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 1/3 (.f64 x x)) (neg.f64 x)) -1)
(/.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x -3)) 1)
(*.f64 1/3 (pow.f64 x -3))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) x) 3)
(/.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 3 (pow.f64 x 3)) -1)
(/.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 x -3) 3)) 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 x -3) 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x -3)))
(*.f64 1/3 (pow.f64 x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x -3)))))
(*.f64 1/3 (pow.f64 x -3))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 x -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x -3))))
(*.f64 1/3 (pow.f64 x -3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x -3))))
(*.f64 1/3 (pow.f64 x -3))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))) 1))
(*.f64 1/3 (pow.f64 x -3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x -3))))
(*.f64 1/3 (pow.f64 x -3))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))
✓	0.0b	(pow.f64 x (/.f64 3 n))
✓	0.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
✓	3.6b	(-.f64 1 (pow.f64 x (/.f64 3 n)))

Compiler

Compiled 79 to 54 computations (31.6% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
1.0ms	n	@	inf	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
1.0ms	x	@	-inf	(+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))
1.0ms	n	@	-inf	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`associate-/l*`
412×	`add-sqr-sqrt`
396×	`*-un-lft-identity`
390×	`pow1`
384×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	399	130
2	5696	130

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x (/.f64 3 n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(pow.f64 x (/.f64 3 n))
(+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 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simplify187.0ms (1%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac`
714×	`associate-+r-`
638×	`associate-r`
620×	`fma-def`
596×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	15398
1	1617	14066
2	7846	14066

Stop Event

1×	node limit

Counts

254 → 303

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))
✓	0.5b	(pow.f64 (cbrt.f64 n) 2)
✓	0.5b	(cbrt.f64 n)
	4.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series5.0ms (0%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))
0.0ms	n	@	-inf	(pow.f64 (cbrt.f64 n) 2)
0.0ms	n	@	-inf	(cbrt.f64 n)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))
0.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`associate-/r*`
1266×	`associate-*r/`
1180×	`associate-/l*`
1116×	`*-commutative`
896×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	253	41
2	3320	41

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(cbrt.f64 n)
(pow.f64 (cbrt.f64 n) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))

Outputs

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

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

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1876×	`associate-/r*`
1480×	`associate-*r/`
1114×	`associate-/l*`
1076×	`associate-*l/`
548×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2586
1	445	2458
2	1883	2334

Stop Event

1×	node limit

Counts

98 → 124

Calls

Call 1

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

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

eval889.0ms (4.5%)

Compiler: Compiled 39464 to 25081 computations (36.4% saved)

prune503.0ms (2.6%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1318	20	1338
Fresh	9	21	30
Picked	1	0	1
Done	3	3	6
Total	1331	44	1375

Error

0.0b

Counts

1375 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) 3) 1/3)
	17.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	28.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	54.4b	(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
	44.6b	(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)
	39.8b	(/.f64 (fma.f64 -9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) (/.f64 n -3))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
▶	44.9b	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) 2) n)
	47.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	45.0b	(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (+.f64 1 (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	39.9b	(/.f64 (/.f64 (neg.f64 (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	39.6b	(/.f64 (/.f64 (log.f64 x) (/.f64 n -3)) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	44.1b	(/.f64 (/.f64 1 x) n)
▶	44.2b	(/.f64 (/.f64 1 n) x)
	45.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	44.4b	(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
	44.9b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
▶	22.4b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
	39.6b	(/.f64 (-.f64 x (log.f64 x)) n)
✓	45.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	50.5b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 3 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 x) n)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))))))
	50.3b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 3 (+.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 3/2)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2 (.f64 3 (/.f64 (log.f64 x) n))))))
	45.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	39.5b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	21.7b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
	39.4b	(/.f64 (log.f64 1) n)
	17.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	30.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	44.4b	(/.f64 1 (*.f64 x n))
	29.1b	(-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))))
	39.6b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
	39.5b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	39.6b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	54.8b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
	49.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.2b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
	47.7b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	39.7b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	35.6b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	45.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	47.0b	(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
	45.0b	(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
	44.2b	(*.f64 (/.f64 1 x) (/.f64 1 n))
▶	17.6b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
	45.0b	(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))

Compiler

Compiled 1751 to 1243 computations (29% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.2b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
✓	4.7b	(log.f64 (/.f64 x (+.f64 x 1)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series55.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	n	@	inf	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
12.0ms	n	@	0	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
0.0ms	x	@	inf	(log.f64 (/.f64 x (+.f64 x 1)))
0.0ms	x	@	-inf	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
0.0ms	x	@	0	(log.f64 (/.f64 x (+.f64 x 1)))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`associate-*l/`
1196×	`associate-/r*`
1118×	`*-commutative`
774×	`associate-/l*`
458×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	249	53
2	3133	53

Stop Event

1×	node limit

Counts

3 → 213

Calls

Call 1

Inputs
(log.f64 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(/.f64 x (+.f64 x 1))

Outputs

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

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1064×	`associate-/l*`
756×	`+-commutative`
718×	`associate-+l+`
682×	`associate-+r+`
664×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	571	7757
1	1530	6829
2	6881	6829

Stop Event

1×	node limit

Counts

261 → 339

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 n) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`add-sqr-sqrt`
1428×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1312×	`add-cbrt-cube`
1298×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1832	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (/.f64 1 n) x)

Outputs

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-+r+`
704×	`associate-r`
568×	`associate-l`
540×	`associate-/l*`
482×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	829
1	244	805
2	731	787
3	3838	787
4	7292	787

Stop Event

1×	node limit

Counts

55 → 39

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (/.f64 1 x) 0))
✓	0.2b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

Compiler

Compiled 28 to 21 computations (25% saved)

series20.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	n	@	0	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
4.0ms	n	@	inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	n	@	-inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	x	@	-inf	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms	x	@	0	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`add-sqr-sqrt`
1856×	`*-un-lft-identity`
1736×	`add-cube-cbrt`
1716×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	228	28
2	2651	28

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(log1p.f64 (+.f64 (/.f64 1 x) 0))

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-*r/`
1092×	`associate-/l*`
864×	`unswap-sqr`
770×	`associate-*l/`
684×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	163	1982
1	389	1938
2	1875	1938

Stop Event

1×	node limit

Counts

84 → 118

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
✓	0.3b	(*.f64 3 (log.f64 (cbrt.f64 x)))
✓	0.6b	(cbrt.f64 x)
✓	10.6b	(-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x))))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series26.0ms (0.1%)

Counts

4 → 12

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
4.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
2.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	-inf	(-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x))))
1.0ms	x	@	0	(-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`associate-*r/`
1332×	`associate-/r*`
1324×	`associate-/l*`
1142×	`associate-*l/`
262×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	253	46
2	3413	46

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(*.f64 3 (log.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)

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

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-+r+`
1308×	`associate-+l+`
652×	`+-commutative`
584×	`associate-+r-`
514×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	8084
1	1186	6676
2	6187	6676

Stop Event

1×	node limit

Counts

220 → 256

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 -1/2 (*.f64 x x))
✓	3.6b	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) 2) n)
✓	9.8b	(sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))))
✓	14.0b	(fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))

Compiler

Compiled 98 to 64 computations (34.7% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) 2) n)
1.0ms	x	@	inf	(/.f64 -1/2 (*.f64 x x))
1.0ms	x	@	0	(fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))
0.0ms	n	@	inf	(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) 2) n)
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/r*`
1032×	`associate-/l*`
408×	`add-sqr-sqrt`
382×	`*-un-lft-identity`
380×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	128
1	433	128
2	5092	128

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify418.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1840×	`associate-*r/`
1466×	`associate-*l/`
902×	`associate-/r*`
540×	`associate-+l+`
470×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	275	6278
1	649	6176
2	3039	6176

Stop Event

1×	node limit

Counts

158 → 183

Calls

Call 1

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

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

eval278.0ms (1.4%)

Compiler: Compiled 16947 to 9504 computations (43.9% saved)

prune207.0ms (1.1%)

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	925	10	935
Fresh	9	27	36
Picked	1	0	1
Done	2	5	7
Total	937	42	979

Error

0.0b

Counts

979 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) 3) 1/3)
	44.6b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
	37.2b	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)
	54.4b	(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
	39.8b	(/.f64 (fma.f64 -9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) (/.f64 n -3))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	45.0b	(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (+.f64 1 (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	42.2b	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
	44.1b	(/.f64 (/.f64 1 x) n)
✓	44.2b	(/.f64 (/.f64 1 n) x)
	45.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	44.4b	(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
	44.9b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
✓	22.4b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
✓	45.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	50.5b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 3 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 x) n)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))))))
	50.3b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 3 (+.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 3/2)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2 (.f64 3 (/.f64 (log.f64 x) n))))))
	45.0b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	39.5b	(/.f64 (neg.f64 (log.f64 x)) n)
	21.7b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	39.4b	(/.f64 (log.f64 1) n)
	22.0b	(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) n)
	30.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	44.4b	(/.f64 1 (*.f64 x n))
	17.7b	(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x))))
	29.1b	(-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))))
	39.6b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
	39.5b	(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
	39.6b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	54.8b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
	49.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.2b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
	47.7b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	39.7b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
	35.6b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	45.1b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	45.0b	(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
	42.2b	(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
	44.2b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	22.4b	(.f64 (/.f64 -1 n) (-.f64 (.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)))
	39.6b	(*.f64 (/.f64 -1 n) (log.f64 x))
	45.0b	(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
	49.0b	(sqrt.f64 (/.f64 (pow.f64 n -2) (*.f64 x x)))

Compiler

Compiled 845 to 603 computations (28.6% saved)

regimes285.0ms (1.5%)

Counts

80 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(sqrt.f64 (/.f64 (pow.f64 n -2) (*.f64 x x)))
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(.f64 (/.f64 -1 n) (-.f64 (.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (log.f64 x) (/.f64 n -3)) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n))))
(.f64 (-.f64 1 (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) n)
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 (neg.f64 (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x))))) 2) n)
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (+.f64 1 (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))) 3) 1/3)
(.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(/.f64 (fma.f64 -9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) (/.f64 n -3))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n)))) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 3 (+.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 3/2)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2 (.f64 3 (/.f64 (log.f64 x) n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n))) (.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) n)
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 3 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 x) n)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) (+.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))) (-.f64 (/.f64 (.f64 1/8 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) (.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))) (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))

Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

88.0ms	(/.f64 1 n)
88.0ms	n
62.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.8b	2	`x`
1.3b	3	`n`
10.4b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
1.0b	3	`(/.f64 1 n)`

Compiler

Compiled 1747 to 989 computations (43.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.387780940401915e-11	7.87363963188469e-8
0.0ms	-4.603963748763442e-12	-9.423643778992401e-13

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes129.0ms (0.7%)

Counts

36 → 3

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

44.0ms	(/.f64 1 n)
43.0ms	n
28.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
8.1b	2	`x`
1.3b	3	`n`
10.4b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
1.0b	3	`(/.f64 1 n)`

Compiler

Compiled 381 to 222 computations (41.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.387780940401915e-11	7.87363963188469e-8
0.0ms	-4.603963748763442e-12	-9.423643778992401e-13

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes122.0ms (0.6%)

Counts

30 → 3

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

52.0ms	n
38.0ms	(/.f64 1 n)
25.0ms	x

Results

Error	Segments	Branch
8.1b	2	`x`
1.1b	4	`n`
1.1b	3	`(/.f64 1 n)`

Compiler

Compiled 299 to 171 computations (42.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.387780940401915e-11	7.87363963188469e-8
0.0ms	-4.603963748763442e-12	-9.423643778992401e-13

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes114.0ms (0.6%)

Counts

29 → 4

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 1) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

3 calls:

47.0ms	n
35.0ms	(/.f64 1 n)
24.0ms	x

Results

Error	Segments	Branch
14.2b	2	`x`
1.4b	4	`n`
1.4b	3	`(/.f64 1 n)`

Compiler

Compiled 290 to 169 computations (41.7% saved)

bsearch541.0ms (2.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
84.0ms	12700606.66671168	10652144594.643549
422.0ms	-3.365594478509788e-307	1.8585876427991214e-261
35.0ms	-4.382840640776583	-0.01544598475442671

Results

280.0ms	158×	body	1024	infinite
60.0ms	10×	body	2048	valid
59.0ms	318×	body	256	unsamplable
51.0ms	90×	body	1024	valid
38.0ms	79×	body	512	infinite
25.0ms	147×	body	256	valid
14.0ms	66×	body	256	infinite
9.0ms	33×	body	512	valid

Compiler

Compiled 353 to 271 computations (23.2% saved)

regimes79.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

31.0ms	n
28.0ms	(/.f64 1 n)
16.0ms	x

Results

Error	Segments	Branch
14.2b	2	`x`
1.6b	4	`n`
1.6b	3	`(/.f64 1 n)`

Compiler

Compiled 144 to 91 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.387780940401915e-11	7.87363963188469e-8
0.0ms	-64.741744595689	-0.22816252790400632

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes68.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)

Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

3 calls:

31.0ms	x
21.0ms	n
13.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
14.2b	2	`x`
8.4b	3	`n`
8.4b	2	`(/.f64 1 n)`

Compiler

Compiled 103 to 65 computations (36.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-64.741744595689	-0.22816252790400632

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes90.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (log.f64 1) n)

Calls

3 calls:

37.0ms	n
33.0ms	(/.f64 1 n)
18.0ms	x

Results

Error	Segments	Branch
14.6b	3	`x`
22.9b	6	`n`
22.6b	6	`(/.f64 1 n)`

Compiler

Compiled 91 to 59 computations (35.2% saved)

bsearch88.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	3.2238686731392246e+95	1.212867521279923e+96
51.0ms	0.007868544980477768	10.03185708986659

Results

33.0ms	85×	body	1024	valid
20.0ms	32×	body	2048	valid
11.0ms	46×	body	512	valid
10.0ms	50×	body	256	infinite
7.0ms	45×	body	256	valid
3.0ms	14×	body	256	unsamplable

Compiler

Compiled 431 to 301 computations (30.2% saved)

regimes75.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (log.f64 1) n)

Outputs
(/.f64 (/.f64 1 x) n)
(/.f64 (log.f64 1) n)
(/.f64 (/.f64 1 x) n)

Calls

3 calls:

48.0ms	(/.f64 1 n)
15.0ms	n
10.0ms	x

Results

Error	Segments	Branch
36.7b	2	`x`
30.7b	3	`n`
30.8b	2	`(/.f64 1 n)`

Compiler

Compiled 80 to 53 computations (33.8% saved)

bsearch104.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	3.0354485788449237e-27	1.475174630504855e-25
35.0ms	-4.382840640776583	-0.01544598475442671

Results

45.0ms	129×	body	256	unsamplable
36.0ms	200×	body	256	valid
13.0ms	28×	body	1024	valid
3.0ms	19×	body	256	infinite
3.0ms	12×	body	512	valid

Compiler

Compiled 245 to 195 computations (20.4% saved)

regimes37.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)

Outputs
(/.f64 (/.f64 1 x) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (/.f64 1 x) n)

Calls

3 calls:

13.0ms	n
13.0ms	x
9.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
41.6b	2	`x`
39.1b	3	`n`
39.1b	2	`(/.f64 1 n)`

Compiler

Compiled 76 to 50 computations (34.2% saved)

bsearch90.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	-4.974014702938434e-241	-6.483313469996451e-243
37.0ms	-4.382840640776583	-0.01544598475442671

Results

42.0ms	212×	body	256	valid
31.0ms	140×	body	256	infinite
9.0ms	18×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))

Outputs
(/.f64 (/.f64 1 x) n)

Calls

3 calls:

6.0ms	n
4.0ms	(/.f64 1 n)
4.0ms	x

Results

Error	Segments	Branch
44.1b	1	`x`
44.1b	1	`n`
44.1b	1	`(/.f64 1 n)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.6%)

Threshold costs -0.3b (-0.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)

Outputs
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

5.0ms	(/.f64 1 n)
3.0ms	x
3.0ms	n

Results

Error	Segments	Branch
44.2b	1	`x`
44.2b	1	`n`
44.2b	1	`(/.f64 1 n)`

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
20×	`sub-neg`
12×	`*-commutative`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	774
1	115	774
2	132	774
3	139	774
4	142	774

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 8867985129867409/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (log.f64 1) n) (if (<=.f64 n 29500000) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -50) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -50) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 7247742189522453/1393796574908163946345982392040522594123776) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -4841369599423283/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -6246254001565511/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Outputs
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 8867985129867409/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (log.f64 1) n) (if (<=.f64 n 29500000) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 8867985129867409/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 0 n) (if (<=.f64 n 29500000) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -50) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -50) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 7737125245533627/77371252455336267181195264) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -50) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 (/.f64 1 n) -50) (/.f64 0 n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n) (/.f64 0 n)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128) (/.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 -1/2 (*.f64 x x))) n) (/.f64 0 n)))
(if (<=.f64 n -4728779608739021/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 7247742189522453/1393796574908163946345982392040522594123776) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (or (<=.f64 n -4728779608739021/1125899906842624) (not (<=.f64 n 7247742189522453/1393796574908163946345982392040522594123776))) (/.f64 (/.f64 1 x) n) (/.f64 0 n))
(if (<=.f64 n -4841369599423283/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -6246254001565511/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n)))
(if (or (<=.f64 n -4841369599423283/1125899906842624) (not (<=.f64 n -6246254001565511/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872))) (/.f64 (/.f64 1 x) n) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))

Compiler

Compiled 310 to 221 computations (28.7% saved)

soundness389.0ms (2%)

Algorithm

5×	egg-herbie

Rules

1564×	`associate-/r*`
1382×	`associate-*r/`
1092×	`associate-/l*`
1076×	`associate-+l-`
1076×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	15302
1	1365	14436
2	5892	14428
0	488	15302
1	1365	14436
2	5892	14428
0	384	5359
1	981	4933
2	3970	4927
0	163	1982
1	389	1938
2	1875	1938
0	488	15302
1	1365	14436
2	5892	14428

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 261 to 169 computations (35.2% saved)

end276.0ms (1.4%)

Compiler: Compiled 288 to 184 computations (36.1% saved)