Details

analyze310.0ms (1.4%)

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)

sample8.3s (38.3%)

Results

2.4s	2787×	body	1024	valid
2.0s	1767×	body	2048	valid
1.4s	1444×	body	1024	invalid
647.0ms	1288×	body	512	valid
500.0ms	2414×	body	256	valid
391.0ms	730×	body	512	invalid
254.0ms	167×	body	1024	infinite
186.0ms	749×	body	256	infinite
186.0ms	255×	body	512	infinite
171.0ms	1284×	body	256	invalid
140.0ms	327×	body	256	unsamplable
4.0ms	4×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess62.0ms (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)

simplify73.0ms (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

47.15%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.15%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.05%	(pow.f64 x (/.f64 1 n))
✓	0.18%	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	2.72%	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series55.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
14.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
13.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
2.0ms	n	@	-inf	(pow.f64 (+.f64 x 1) (/.f64 1 n))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite90.0ms (0.4%)

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))))))))

simplify166.0ms (0.8%)

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))

eval223.0ms (1%)

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

prune150.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	305	14	319
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	14	320

Error

1.21%

Counts

320 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.8%	(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)))))
▶	66.28%	(/.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))))
▶	30.49%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	66.25%	(/.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))))))
▶	46.84%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	45.38%	(-.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)))
▶	47.65%	(-.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))))
	75.44%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	83.09%	(-.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)))
	46.69%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	65.77%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	64.12%	(+.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)))))))
	60.34%	(+.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)))
	65.32%	(+.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)))))

Compiler

Compiled 872 to 546 computations (37.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.22%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	3.35%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series48.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
9.0ms	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)

rewrite124.0ms (0.6%)

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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Outputs

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simplify141.0ms (0.6%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.05%	(pow.f64 x (/.f64 1 n))
✓	6.53%	(-.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)))

rewrite77.0ms (0.4%)

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)))))))))

simplify77.0ms (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)))

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(exp.f64 (/.f64 (log.f64 x) n))
✓	0.43%	(/.f64 (log.f64 x) n)
✓	8.16%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series37.0ms (0.2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	x	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
0.0ms	n	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-/l*`
1366×	`associate-*r/`
1066×	`*-commutative`
948×	`associate-*l/`
332×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	203	49
2	2768	49

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log.f64 x) n)
(exp.f64 (/.f64 (log.f64 x) n))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/l/`
972×	`associate-/r/`
608×	`distribute-lft-neg-in`
584×	`associate-r`
576×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5569
1	841	4523
2	4161	4507

Stop Event

1×	node limit

Counts

193 → 205

Calls

Call 1

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

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

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.06%	(pow.f64 x (/.f64 2 n))
✓	0.2%	(pow.f64 (+.f64 1 x) (/.f64 2 n))
✓	0.23%	(/.f64 (log1p.f64 x) n)
✓	2.68%	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))

Compiler

Compiled 92 to 51 computations (44.6% saved)

series10.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite138.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`associate-*l/`
1152×	`associate-/r*`
794×	`associate-/l*`
326×	`associate-/r/`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	307	80
2	4052	80

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))
(/.f64 (log1p.f64 x) n)
(pow.f64 (+.f64 1 x) (/.f64 2 n))
(pow.f64 x (/.f64 2 n))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (neg.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1 (pow.f64 x (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1) (fma.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1 (pow.f64 x (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1) 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simplify255.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-+r-`
778×	`fma-def`
542×	`+-commutative`
480×	`associate-/l*`
458×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	590	16385
1	1665	14381
2	7086	14379

Stop Event

1×	node limit

Counts

255 → 370

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.25%	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
✓	5.73%	(-.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))
✓	6.94%	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	18.43%	(-.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))))

Compiler

Compiled 118 to 47 computations (60.2% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(-.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))
2.0ms	x	@	-inf	(-.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))))
1.0ms	x	@	inf	(-.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))))
1.0ms	n	@	0	(-.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))))
1.0ms	x	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))

rewrite206.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`associate-+l+`
484×	`add-sqr-sqrt`
472×	`*-un-lft-identity`
466×	`pow1`
450×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	194
1	472	164
2	6889	164

Stop Event

1×	node limit

Counts

4 → 326

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1) (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1) (.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n)) (fma.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1/2 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1/2 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1/2 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n)) (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))) (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (+.f64 (+.f64 (.f64 (pow.f64 (/.f64 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simplify286.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-+r+`
1142×	`+-commutative`
750×	`associate-r`
654×	`associate-l`
620×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	38540
1	2669	35816

Stop Event

1×	node limit

Counts

422 → 537

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)
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(.f64 (.f64 (/.f64 (log.f64 x) n) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) 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 (log.f64 x) 1) (/.f64 (log.f64 x) (.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 (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)) (cbrt.f64 (pow.f64 n 4))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(pow.f64 (/.f64 (log.f64 x) n) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1)
(pow.f64 (pow.f64 (cbrt.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 n (/.f64 (pow.f64 (log.f64 x) 2) n)) -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)))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (neg.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 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (neg.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 (/.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 (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 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 x n) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
(+.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 (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)) (fma.f64 (-.f64 (/.f64 1/3 n) (/.f64 1/2 (.f64 n n))) (pow.f64 x 3) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x))))
(+.f64 (+.f64 (/.f64 x n) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (neg.f64 (log.f64 x)) n))) (fma.f64 (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (.f64 n n))) (pow.f64 x 3) (.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(/.f64 (+.f64 (/.f64 1 n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 n) (*.f64 (/.f64 (log.f64 x) n) (/.f64 1 n))) 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 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (.f64 n n))) (.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n)))) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (.f64 x x)) (+.f64 (/.f64 (.f64 (log.f64 x) 1) (.f64 x (.f64 n n))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x))))))
(-.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 (fma.f64 1/2 (/.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (.f64 n n)) (neg.f64 (/.f64 1 (.f64 n n)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (.f64 n n))) (.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 2/3 (log.f64 x)) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (.f64 x x)) (+.f64 (/.f64 (.f64 (log.f64 x) 1) (.f64 x (.f64 n n))) (+.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 1/2 (/.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 (fma.f64 1/2 (/.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (.f64 n n)) (neg.f64 (/.f64 1 (.f64 n n)))) (pow.f64 x 3)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (.f64 n n))) (.f64 x x)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (.f64 n n)) (.f64 1/2 (/.f64 (neg.f64 (log.f64 x)) (.f64 n n)))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))))))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 2/3 (log.f64 x)) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (log.f64 x) 1) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n)))) (+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (.f64 x x)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))))
(.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))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n)) (/.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 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) (/.f64 -1 n)) x) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x)))) (/.f64 1/2 (.f64 n (*.f64 x 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 (.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 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) (/.f64 -1 n)) x) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (.f64 (.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) 1/2)) (/.f64 1/3 n)) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x))))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) (/.f64 -1 n)) x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (-.f64 (.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) -1/3) (/.f64 1/3 n))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x))))) (/.f64 -1/2 (.f64 n (.f64 x 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 (.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 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) (/.f64 -1 n)) x) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (.f64 n n)) (.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) -1/2)) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (.f64 (.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) 1/2)) (/.f64 1/3 n)) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x)))))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) (/.f64 -1 n)) x) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (.f64 n n)) (.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) -1/2)) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (-.f64 (.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) -1/3) (/.f64 1/3 n))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x)))))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))))
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(/.f64 1/2 (/.f64 (*.f64 n n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 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 (log1p.f64 x) 2) (.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
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(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)

eval1.1s (4.9%)

Compiler: Compiled 53546 to 27824 computations (48% saved)

prune544.0ms (2.5%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1454	29	1483
Fresh	6	3	9
Picked	1	0	1
Done	2	2	4
Total	1463	34	1497

Error

0.01%

Counts

1497 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	30.53%	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	46.83%	(/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n))
▶	30.62%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	46.85%	(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
	81.05%	(/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (sqrt.f64 (.f64 x n)) (sqrt.f64 (*.f64 x n))))
	46.86%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	30.54%	(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	65.78%	(/.f64 (/.f64 1 x) n)
	65.78%	(/.f64 (/.f64 1 n) x)
	67.1%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	67.17%	(/.f64 (-.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)))) n)
	65.22%	(/.f64 (-.f64 x (log.f64 x)) n)
	65.73%	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
▶	66.75%	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
	48.15%	(/.f64 (+.f64 (.f64 2 (-.f64 (+.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (*.f64 4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	64.86%	(/.f64 (neg.f64 (log.f64 x)) n)
▶	30.44%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	30.98%	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	46.84%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	66.77%	(/.f64 1 (*.f64 x n))
	65.21%	(-.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))
	30.9%	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
	75.44%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	68.15%	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
	83.09%	(-.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)))
	83.06%	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
	65.54%	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
	46.69%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	65.77%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	30.98%	(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	72.05%	(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
	30.97%	(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))
	30.54%	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	65.73%	(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 1116 to 740 computations (33.7% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.22%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	3.24%	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series21.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	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	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	x	@	0	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite75.0ms (0.3%)

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	40
1	209	36
2	2816	36

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1708×	`associate-*r/`
1384×	`associate-/l*`
914×	`associate-*l/`
832×	`associate-/r*`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	284	4171
1	669	3775
2	2583	3775

Stop Event

1×	node limit

Counts

133 → 183

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.38%	(/.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	x	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	n	@	0	(/.f64 1 (*.f64 x n))
0.0ms	n	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	0	(/.f64 1 (*.f64 x n))

rewrite58.0ms (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))))))))

simplify49.0ms (0.2%)

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)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.44%	(/.f64 1/3 (pow.f64 x 3))
✓	1.1%	(/.f64 -1/2 (*.f64 x x))
✓	4.6%	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
✓	20.86%	(+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))

Compiler

Compiled 70 to 45 computations (35.7% saved)

series251.0ms (1.2%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
246.0ms	n	@	0	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
1.0ms	n	@	inf	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
1.0ms	x	@	0	(+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))
0.0ms	n	@	-inf	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
0.0ms	x	@	0	(/.f64 1/3 (pow.f64 x 3))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`associate-/l*`
1184×	`associate-/r/`
378×	`add-sqr-sqrt`
356×	`add-cbrt-cube`
356×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	376	98
2	5458	98

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.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 (exp.f64 (log1p.f64 (.f64 -1/2 (pow.f64 x -2)))) (-.f64 1 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3)))) (-.f64 1 (.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/9 (pow.f64 x 6)) (+.f64 (.f64 1/3 (pow.f64 x -3)) (.f64 1/2 (pow.f64 x -2)))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/3 (pow.f64 x -3)) (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/3 (pow.f64 x -3)) (exp.f64 (log1p.f64 (.f64 -1/2 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/2 (pow.f64 x -2)) (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 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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 1 x) (/.f64 -1/2 x))))) (#(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 (pow.f64 (cbrt.f64 x) 2)))))) (#(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) (pow.f64 (cbrt.f64 x) 2)) (/.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 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 1/3 (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 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 (/.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)) (pow.f64 (cbrt.f64 x) 2)) (/.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 (pow.f64 (.f64 1/3 (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 (pow.f64 (.f64 1/3 (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))))))))

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-r`
968×	`associate-+r+`
964×	`+-commutative`
760×	`*-commutative`
752×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	12370
1	1765	11806
2	7616	11806

Stop Event

1×	node limit

Counts

246 → 345

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 (exp.f64 (log1p.f64 (.f64 -1/2 (pow.f64 x -2)))) (-.f64 1 (.f64 1/3 (pow.f64 x -3))))
(-.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 1/3 (pow.f64 x -3)))) (-.f64 1 (.f64 -1/2 (pow.f64 x -2))))
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 x 6)) (+.f64 (.f64 1/3 (pow.f64 x -3)) (.f64 1/2 (pow.f64 x -2)))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/3 (pow.f64 x -3)) (.f64 1/2 (pow.f64 x -2)))))
(-.f64 (+.f64 (.f64 1/3 (pow.f64 x -3)) (exp.f64 (log1p.f64 (.f64 -1/2 (pow.f64 x -2))))) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x -2)) (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3))))) 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)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x -3) (*.f64 -1/2 (pow.f64 x -2)))) 2))
(.f64 (pow.f64 (cbrt.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 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x -3)) (*.f64 1/2 (pow.f64 x -2)))))
(.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x -3)) 3) (/.f64 -1/8 (pow.f64 x 6))) (/.f64 1 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 5))))))
(.f64 (fma.f64 1/3 (.f64 x x) (*.f64 (pow.f64 x 3) -1/2)) (/.f64 1 (pow.f64 x 5)))
(.f64 (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x -3)) (*.f64 1/2 (pow.f64 x -2)))) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 5))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x -3)) 3) (/.f64 -1/8 (pow.f64 x 6))))
(.f64 (/.f64 1 (pow.f64 x 5)) (fma.f64 1/3 (.f64 x x) (*.f64 (pow.f64 x 3) -1/2)))
(.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4)))) (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))))
(.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))) (-.f64 (pow.f64 (.f64 1/3 (pow.f64 x -3)) 3) (/.f64 -1/8 (pow.f64 x 6)))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/9 (pow.f64 x 6))) (/.f64 -1/6 (pow.f64 x 5))))
(.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))) (-.f64 (.f64 (.f64 1/3 x) x) (.f64 (pow.f64 x 3) -1/2))) (pow.f64 x 5))
(.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))) (-.f64 (.f64 1/3 (.f64 x (/.f64 x -1/2))) (pow.f64 x 3))) (.f64 (pow.f64 x 3) (*.f64 x (/.f64 x -1/2))))
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(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2))) (+.f64 (fma.f64 1/3 (pow.f64 x -3) (*.f64 -1/2 (pow.f64 x -2))) (/.f64 1 x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 3))) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (+.f64 (.f64 1/3 (pow.f64 x -3)) (-.f64 (.f64 1/2 (pow.f64 x -2)) (.f64 x (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))))))) (.f64 x (+.f64 (.f64 1/3 (pow.f64 x -3)) (*.f64 1/2 (pow.f64 x -2)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 5)))) (.f64 x (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x -3)) 3) (/.f64 -1/8 (pow.f64 x 6)))))) (.f64 x (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 5))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (pow.f64 x 5) (.f64 x (fma.f64 1/3 (.f64 x x) (.f64 (pow.f64 x 3) -1/2))))) (pow.f64 x 6))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (.f64 -1 (+.f64 (.f64 1/3 (pow.f64 x -3)) (.f64 1/2 (pow.f64 x -2)))) (.f64 (neg.f64 x) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4)))))) (.f64 (neg.f64 x) (+.f64 (.f64 1/3 (pow.f64 x -3)) (.f64 1/2 (pow.f64 x -2)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (.f64 -1 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 5))))) (.f64 (neg.f64 x) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x -3)) 3) (/.f64 -1/8 (pow.f64 x 6)))))) (*.f64 (neg.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/9 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 5))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 1 n)) (-.f64 (.f64 -1 (pow.f64 x 5)) (.f64 (neg.f64 x) (fma.f64 1/3 (.f64 x x) (.f64 (pow.f64 x 3) -1/2))))) (.f64 (neg.f64 x) (pow.f64 x 5)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 3)) (/.f64 1 n)) (-.f64 (.f64 (pow.f64 x -2) (pow.f64 x -2)) (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x)) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x))))) (+.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2)) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (*.f64 -1/2 (pow.f64 x -2))) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 3)) (/.f64 1 n)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x)) 3))) (+.f64 (.f64 (pow.f64 x -2) (pow.f64 x -2)) (-.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x)) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x))) (.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 x -3) (.f64 -1/2 (pow.f64 x -2))) x))))))
(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 1 x) (/.f64 -1/2 x))
(*.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 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 -1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.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)
(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 1/3 (pow.f64 x -3))
(.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 (/.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)) (pow.f64 (cbrt.f64 x) 2)) (/.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 (pow.f64 (*.f64 1/3 (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 (pow.f64 (*.f64 1/3 (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 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 (/.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 -1/2 (pow.f64 x 2))
(/.f64 -1/2 (*.f64 x x))
(*.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 (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 (/.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 (/.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 -1/2 (pow.f64 x 2))
(/.f64 -1/2 (*.f64 x x))
(*.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 (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 (/.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 (/.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 1/3 (*.f64 n (pow.f64 x 3)))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(/.f64 1/3 (*.f64 (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 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (*.f64 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 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (.f64 x (*.f64 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 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (.f64 x (*.f64 x n)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 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 (/.f64 1 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 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1 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 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (.f64 x (*.f64 x n)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 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 (/.f64 1 x) n) (/.f64 -1/2 (.f64 x (.f64 x n))))
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(/.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x -3)) 3) 1/3)
(*.f64 1/3 (pow.f64 x -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 (pow.f64 (*.f64 1/3 (pow.f64 x -3)) 3))
(*.f64 1/3 (pow.f64 x -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))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.41%	(*.f64 (pow.f64 x 3) n)
✓	8.14%	(*.f64 (pow.f64 x 4) n)
✓	11.99%	(.f64 (.f64 x x) n)
✓	27.95%	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))

Compiler

Compiled 120 to 68 computations (43.3% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
1.0ms	n	@	inf	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
1.0ms	n	@	-inf	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
0.0ms	x	@	0	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
0.0ms	x	@	0	(*.f64 (pow.f64 x 4) n)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`add-sqr-sqrt`
528×	`*-un-lft-identity`
526×	`add-cbrt-cube`
526×	`add-cube-cbrt`
524×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	124
1	565	124

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(.f64 (.f64 x x) n)
(*.f64 (pow.f64 x 4) n)
(*.f64 (pow.f64 x 3) n)

Outputs
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simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-+l+`
1234×	`associate-+r+`
910×	`+-commutative`
494×	`associate-l`
482×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	364	12377
1	1175	12189
2	5582	12189

Stop Event

1×	node limit

Counts

195 → 180

Calls

Call 1

Inputs
(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.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 1/3 (/.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 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)))))
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(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x n) -3) (/.f64 1/27 (pow.f64 (.f64 n (pow.f64 x 3)) 3))) (/.f64 (-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) n)) (.f64 (+.f64 (pow.f64 (.f64 x n) -2) (-.f64 (/.f64 1/9 (.f64 (.f64 n n) (pow.f64 x 6))) (/.f64 1/3 (.f64 (pow.f64 x 4) (.f64 n n))))) (-.f64 (/.f64 1/4 (.f64 (pow.f64 x 4) (.f64 n n))) (/.f64 1/16 (.f64 (pow.f64 x 8) (.f64 n n)))))) (.f64 (+.f64 (pow.f64 (.f64 x n) -2) (-.f64 (/.f64 1/9 (.f64 (.f64 n n) (pow.f64 x 6))) (/.f64 1/3 (.f64 (pow.f64 x 4) (.f64 n n))))) (/.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) n)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x n) -3) (/.f64 1/27 (pow.f64 (.f64 n (pow.f64 x 3)) 3))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 x 4) (.f64 n n))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 8) (.f64 n n))) (/.f64 1/8 (.f64 (pow.f64 (.f64 x n) 2) (pow.f64 x 4)))))) (.f64 (+.f64 (pow.f64 (.f64 x n) -2) (-.f64 (/.f64 1/9 (.f64 (.f64 n n) (pow.f64 x 6))) (/.f64 1/3 (.f64 (pow.f64 x 4) (.f64 n n))))) (+.f64 (/.f64 1/8 (pow.f64 (.f64 x (.f64 x n)) 3)) (/.f64 1/64 (pow.f64 (.f64 n (pow.f64 x 4)) 3))))) (.f64 (+.f64 (pow.f64 (.f64 x n) -2) (-.f64 (/.f64 1/9 (.f64 (.f64 n n) (pow.f64 x 6))) (/.f64 1/3 (.f64 (pow.f64 x 4) (.f64 n n))))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 x 4) (.f64 n n))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 8) (.f64 n n))) (/.f64 1/8 (.f64 (pow.f64 (.f64 x n) 2) (pow.f64 x 4)))))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x n) -3) (/.f64 1/27 (pow.f64 (.f64 n (pow.f64 x 3)) 3))) (.f64 (pow.f64 (.f64 x n) 2) (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 (.f64 x n) -2) (-.f64 (/.f64 1/9 (.f64 (.f64 n n) (pow.f64 x 6))) (/.f64 1/3 (.f64 (pow.f64 x 4) (.f64 n n))))) (fma.f64 1/2 (.f64 n (pow.f64 x 4)) (.f64 x (.f64 (.f64 x n) 1/4))))) (.f64 (+.f64 (pow.f64 (.f64 x n) -2) (-.f64 (/.f64 1/9 (.f64 (.f64 n n) (pow.f64 x 6))) (/.f64 1/3 (.f64 (pow.f64 x 4) (.f64 n n))))) (.f64 (pow.f64 (*.f64 x n) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.f64 n (pow.f64 x 3) (.f64 x (.f64 n 1/3))) (/.f64 (-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) n)) (.f64 (.f64 (pow.f64 x 4) (.f64 n n)) (-.f64 (/.f64 1/4 (.f64 (pow.f64 x 4) (.f64 n n))) (/.f64 1/16 (.f64 (pow.f64 x 8) (.f64 n n)))))) (.f64 (.f64 (pow.f64 x 4) (.f64 n n)) (/.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) n)))
(/.f64 (-.f64 (.f64 (fma.f64 n (pow.f64 x 3) (.f64 x (.f64 n 1/3))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 x 4) (.f64 n n))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 8) (.f64 n n))) (/.f64 1/8 (.f64 (pow.f64 (.f64 x n) 2) (pow.f64 x 4)))))) (.f64 (.f64 (pow.f64 x 4) (.f64 n n)) (+.f64 (/.f64 1/8 (pow.f64 (.f64 x (.f64 x n)) 3)) (/.f64 1/64 (pow.f64 (.f64 n (pow.f64 x 4)) 3))))) (.f64 (.f64 (pow.f64 x 4) (.f64 n n)) (+.f64 (/.f64 1/4 (.f64 (pow.f64 x 4) (.f64 n n))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 8) (.f64 n n))) (/.f64 1/8 (.f64 (pow.f64 (.f64 x n) 2) (pow.f64 x 4)))))))
(/.f64 (-.f64 (.f64 (fma.f64 n (pow.f64 x 3) (.f64 x (.f64 n 1/3))) (.f64 (pow.f64 (.f64 x n) 2) (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 4) (.f64 n n)) (fma.f64 1/2 (.f64 n (pow.f64 x 4)) (.f64 x (.f64 (.f64 x n) 1/4))))) (.f64 (.f64 (pow.f64 x 4) (.f64 n n)) (.f64 (pow.f64 (*.f64 x n) 2) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) 2) (pow.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))) 2))) (neg.f64 (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) 3) (pow.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) 2) (.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4))))))))))
(pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))))
(fma.f64 1 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(fma.f64 1 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(fma.f64 (pow.f64 (.f64 x n) -1/2) (pow.f64 (.f64 x n) -1/2) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))) 2) (cbrt.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x n) -2)) (/.f64 1 (cbrt.f64 (.f64 x n))) (-.f64 (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (.f64 n (pow.f64 x 4)))))
(pow.f64 (.f64 x (.f64 x n)) 1)
(pow.f64 (*.f64 x (sqrt.f64 n)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x n))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x n)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 x 4) (.f64 n n)))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x n)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x n) 3)))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x n))))
(exp.f64 (log.f64 (.f64 x (.f64 x n))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x n))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x n))))
(pow.f64 (*.f64 n (pow.f64 x 4)) 1)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 n)) 2)
(pow.f64 (cbrt.f64 (*.f64 n (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 n (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 x 8) (.f64 n n)))
(log.f64 (pow.f64 (exp.f64 n) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 n (pow.f64 x 4)) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (pow.f64 x 4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 n (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 n (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (pow.f64 x 4))))
(pow.f64 (*.f64 n (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (sqrt.f64 n) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 x (cbrt.f64 n)) 3)
(pow.f64 (pow.f64 (*.f64 n (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (.f64 (.f64 n n) (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 n) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 n (pow.f64 x 3)) 3))
(cbrt.f64 (.f64 (pow.f64 n 3) (.f64 (pow.f64 x 8) x)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 8) x) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 n (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 n (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (pow.f64 x 3))))

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.07%	(sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.22%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
✓	0.42%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
	3.35%	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 38 to 12 computations (68.4% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`associate-*r/`
1024×	`*-commutative`
926×	`associate-/r*`
856×	`associate-*l/`
790×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	255	55
2	3016	55

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

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

Outputs

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

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-/l*`
772×	`associate-r`
682×	`associate-l`
582×	`fma-def`
474×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	12907
1	1635	12175

Stop Event

1×	node limit

Counts

263 → 365

Calls

Call 1

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

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

eval729.0ms (3.4%)

Compiler: Compiled 37178 to 21339 computations (42.6% saved)

prune389.0ms (1.8%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1274	10	1284
Fresh	7	20	27
Picked	1	0	1
Done	1	5	6
Total	1283	35	1318

Error

0.01%

Counts

1318 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	30.53%	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	82.33%	(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
	46.83%	(/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n))
	66.95%	(/.f64 (pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) n)
	46.85%	(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
	46.86%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	65.78%	(/.f64 (/.f64 1 x) n)
▶	65.78%	(/.f64 (/.f64 1 n) x)
	67.1%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	67.17%	(/.f64 (-.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)))) n)
	57.68%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 (cbrt.f64 (.f64 n n)) (cbrt.f64 n)))
	65.22%	(/.f64 (-.f64 x (log.f64 x)) n)
	65.73%	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	66.75%	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
	48.15%	(/.f64 (+.f64 (.f64 2 (-.f64 (+.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (*.f64 4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	30.49%	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
▶	64.86%	(/.f64 (neg.f64 (log.f64 x)) n)
✓	30.44%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	46.84%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	66.77%	(/.f64 1 (*.f64 x n))
	66.48%	(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))
	65.21%	(-.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))
	66.99%	(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
▶	30.9%	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
	75.44%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
✓	68.15%	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
	83.09%	(-.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)))
	83.06%	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
	71.42%	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	65.54%	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
▶	46.69%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	65.77%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	65.82%	(*.f64 (/.f64 1 x) (/.f64 1 n))
▶	30.45%	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
	65.73%	(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 1050 to 708 computations (32.6% saved)

localize51.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 x (+.f64 x 1))
✓	0.31%	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
✓	3.18%	(log.f64 (/.f64 x (+.f64 x 1)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series56.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	n	@	0	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
4.0ms	n	@	inf	(*.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)))

rewrite117.0ms (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

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

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

simplify146.0ms (0.7%)

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))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (cbrt.f64 x))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1)))
(*.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 x (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 x 3))))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (-.f64 1 x))
(*.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 1 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.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 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1)))
(*.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 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 x 3))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 1 (.f64 x x))) (-.f64 1 x))
(*.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
✓	0.4%	(/.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	x	@	-inf	(/.f64 (/.f64 1 n) x)
0.0ms	x	@	inf	(/.f64 (/.f64 1 n) x)
0.0ms	n	@	inf	(/.f64 (/.f64 1 n) x)

rewrite85.0ms (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 (0.3%)

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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.43%	(/.f64 (neg.f64 (log.f64 x)) n)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`add-sqr-sqrt`
1446×	`*-un-lft-identity`
1342×	`add-cube-cbrt`
1324×	`add-cbrt-cube`
1308×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	165	11
2	2230	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(/.f64 (neg.f64 (log.f64 x)) n)

Outputs

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-r`
1344×	`distribute-lft-in`
1288×	`associate-l`
860×	`associate-+r+`
748×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1314
1	237	1134
2	932	990
3	5095	990

Stop Event

1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.23%	(/.f64 (log1p.f64 x) n)
	0.43%	(/.f64 (log.f64 x) n)
✓	3.75%	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))

Compiler

Compiled 25 to 7 computations (72% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`associate-/l*`
774×	`distribute-rgt-in`
744×	`distribute-lft-in`
448×	`associate-/r/`
404×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	219	21
2	3265	21

Stop Event

1×	node limit

Counts

1 → 136

Calls

Call 1

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

Outputs

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

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-+r+`
1116×	`+-commutative`
758×	`fma-def`
750×	`associate-+r-`
606×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	10364
1	1398	10002
2	6322	10002

Stop Event

1×	node limit

Counts

160 → 268

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.05%	(pow.f64 x (/.f64 1 n))
	0.23%	(/.f64 (log1p.f64 x) n)
✓	3.48%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series3.0ms (0%)

Counts

2 → 44

Calls

12 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)))

rewrite97.0ms (0.4%)

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	48
1	252	48
2	3287	48

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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simplify199.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-+l-`
1018×	`associate-+r-`
952×	`associate--r+`
760×	`fma-def`
486×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	15071
1	1375	14253
2	6240	14251

Stop Event

1×	node limit

Counts

175 → 295

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))
(+.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 -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))))
(+.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 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.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))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.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 (.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 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (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 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (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 (.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 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 (.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)))))
1
(+.f64 (/.f64 x n) 1)
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))
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(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
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(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 (+.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 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) 1) (-.f64 (/.f64 x n) (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 (/.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)) (.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 (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 (/.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 (+.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 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (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 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(+.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 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.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))))) (pow.f64 x 4)) (/.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 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 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 (pow.f64 x 4) (-.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 (-.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 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n 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 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))) (+.f64 (/.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 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))) (/.f64 (-.f64 (log1p.f64 x) (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 (log1p.f64 x) 2) (.f64 n n)) (.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (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 (+.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 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(-.f64 (-.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 (log.f64 x) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.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 n 4) (pow.f64 (log.f64 x) 4))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n 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 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
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(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (/.f64 6 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 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (*.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (fma.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 6 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)) 2) (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 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (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 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (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 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (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 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.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 (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))) (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.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 (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 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.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 (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 (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))
(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))
(pow.f64 (+.f64 1 x) (/.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))
(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))

eval402.0ms (1.9%)

Compiler: Compiled 30262 to 13682 computations (54.8% saved)

prune303.0ms (1.4%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1266	9	1275
Fresh	5	20	25
Picked	1	0	1
Done	1	8	9
Total	1273	37	1310

Error

0.01%

Counts

1310 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	82.33%	(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
	46.83%	(/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n))
	46.85%	(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
	46.86%	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	65.78%	(/.f64 (/.f64 1 x) n)
✓	65.78%	(/.f64 (/.f64 1 n) x)
	67.1%	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	67.17%	(/.f64 (-.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)))) n)
	65.22%	(/.f64 (-.f64 x (log.f64 x)) n)
	65.73%	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	66.75%	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
	48.15%	(/.f64 (+.f64 (.f64 2 (-.f64 (+.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (*.f64 4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	57.65%	(/.f64 (.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
	30.49%	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	81.01%	(/.f64 (neg.f64 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
✓	64.86%	(/.f64 (neg.f64 (log.f64 x)) n)
✓	30.44%	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	96.13%	(/.f64 (log.f64 x) n)
✓	46.84%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	30.53%	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
✓	66.77%	(/.f64 1 (*.f64 x n))
	65.21%	(-.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))
	66.99%	(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
✓	30.9%	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
	75.44%	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
✓	68.15%	(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
	83.09%	(-.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)))
	71.42%	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	65.54%	(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
	56.4%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	65.77%	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	65.82%	(*.f64 (/.f64 1 x) (/.f64 1 n))
	41.42%	(.f64 (/.f64 -1 n) (-.f64 (.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)))
	51.79%	(*.f64 (/.f64 -1 n) (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
	64.91%	(*.f64 (/.f64 -1 n) (log.f64 x))
	60.98%	(*.f64 (/.f64 -1 n) (log.f64 1))
	65.73%	(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 539 to 375 computations (30.4% saved)

regimes549.0ms (2.5%)

Counts

63 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x 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 x) (+.f64 (/.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)))
(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.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 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(/.f64 (.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) 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))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.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)))) n)
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) n)
(/.f64 (neg.f64 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
(.f64 (/.f64 -1 n) (-.f64 (.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 -1 n) (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (sqrt.f64 (.f64 x n)) (sqrt.f64 (*.f64 x n))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 (cbrt.f64 (.f64 n n)) (cbrt.f64 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 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (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))))
(/.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 (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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 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 (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 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n 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 (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 (+.f64 (.f64 2 (-.f64 (+.f64 (/.f64 (log1p.f64 x) n) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (*.f64 4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

240.0ms	n
159.0ms	x
120.0ms	(/.f64 1 n)
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
13.36%	4	`x`
13.48%	4	`n`
17.36%	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
13.15%	4	`(/.f64 1 n)`

Compiler

Compiled 1071 to 546 computations (49% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.2186471592578401	36878.65981717629
0.0ms	8.487090776758894e-25	2.1311528919248555e-23
0.0ms	-1.329322881012122e-22	-2.726677933014486e-25

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes311.0ms (1.4%)

Counts

43 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x 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 x) (+.f64 (/.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)))
(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.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 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(/.f64 (.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 n n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) 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))))
(.f64 (-.f64 1 (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.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)))) n)
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) n)
(/.f64 (neg.f64 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
(.f64 (/.f64 -1 n) (-.f64 (.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 -1 n) (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))

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

Calls

4 calls:

122.0ms	n
88.0ms	x
85.0ms	(/.f64 1 n)
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
13.48%	4	`x`
13.61%	4	`n`
17.36%	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
13.16%	4	`(/.f64 1 n)`

Compiler

Compiled 489 to 284 computations (41.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.2186471592578401	36878.65981717629
0.0ms	8.487090776758894e-25	2.1311528919248555e-23
0.0ms	-1.329322881012122e-22	-2.726677933014486e-25

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes244.0ms (1.1%)

Counts

27 → 5

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

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

Calls

3 calls:

88.0ms	(/.f64 1 n)
81.0ms	n
69.0ms	x

Results

Error	Segments	Branch
13.49%	4	`x`
13.46%	5	`n`
13.48%	4	`(/.f64 1 n)`

Compiler

Compiled 259 to 146 computations (43.6% saved)

bsearch488.0ms (2.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	4.6922959107678135e+22	1.1782600496490585e+24
61.0ms	2.711595282901925e-5	4.573578743919321
306.0ms	-3.0910408096960745e-306	2.6934250106440735e-257
85.0ms	-3.667466508941331e+24	-7.522626852240882e+21

Results

192.0ms	163×	body	1024	infinite
77.0ms	206×	body	256	valid
59.0ms	284×	body	256	unsamplable
53.0ms	100×	body	1024	valid
39.0ms	83×	body	512	infinite
33.0ms	35×	body	2048	valid
17.0ms	64×	body	512	valid
9.0ms	46×	body	256	infinite
1.0ms	1×	body	2048	infinite

Compiler

Compiled 639 to 449 computations (29.7% saved)

regimes172.0ms (0.8%)

Counts

26 → 5

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

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

Calls

3 calls:

76.0ms	n
45.0ms	(/.f64 1 n)
43.0ms	x

Results

Error	Segments	Branch
13.51%	4	`x`
13.48%	5	`n`
13.5%	4	`(/.f64 1 n)`

Compiler

Compiled 250 to 144 computations (42.4% saved)

bsearch252.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	4.6922959107678135e+22	1.1782600496490585e+24
54.0ms	2.711595282901925e-5	4.573578743919321
113.0ms	-3.0910408096960745e-306	2.6934250106440735e-257
49.0ms	-3.667466508941331e+24	-7.522626852240882e+21

Results

65.0ms	74×	body	1024	infinite
54.0ms	110×	body	1024	valid
43.0ms	210×	body	256	valid
28.0ms	154×	body	256	unsamplable
21.0ms	46×	body	512	infinite
18.0ms	25×	body	2048	valid
12.0ms	44×	body	512	valid
4.0ms	22×	body	256	infinite

Compiler

Compiled 613 to 431 computations (29.7% saved)

regimes117.0ms (0.5%)

Counts

18 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

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

Calls

3 calls:

46.0ms	n
33.0ms	x
33.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.52%	4	`x`
13.63%	5	`n`
13.65%	4	`(/.f64 1 n)`

Compiler

Compiled 157 to 98 computations (37.6% saved)

bsearch212.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.03320195095459406	102.01599648787594
96.0ms	1.892883652495275e-193	1.7471841118216516e-190
72.0ms	3.4262448649251385e-212	2.876501998620438e-211

Results

118.0ms	156×	body	1024	valid
35.0ms	83×	body	512	valid
18.0ms	14×	body	2048	valid
18.0ms	99×	body	256	valid
14.0ms	58×	body	256	infinite
3.0ms	15×	body	256	unsamplable

Compiler

Compiled 486 to 361 computations (25.7% saved)

regimes84.0ms (0.4%)

Counts

16 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)

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

Calls

3 calls:

41.0ms	x
22.0ms	n
16.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
23.51%	5	`x`
17.85%	3	`n`
17.85%	2	`(/.f64 1 n)`

Compiler

Compiled 138 to 87 computations (37% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3729400400516627e-6	0.004277532944037807

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes158.0ms (0.7%)

Counts

15 → 5

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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 -1/4 (*.f64 n (pow.f64 x 4)))

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

Calls

3 calls:

58.0ms	(/.f64 1 n)
55.0ms	n
40.0ms	x

Results

Error	Segments	Branch
23.84%	5	`x`
26.06%	8	`n`
24.57%	8	`(/.f64 1 n)`

Compiler

Compiled 130 to 82 computations (36.9% saved)

bsearch270.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	1.8746992308708605e+117	2.9251440028372994e+118
55.0ms	0.03320195095459406	102.01599648787594
96.0ms	1.892883652495275e-193	1.7471841118216516e-190
69.0ms	3.4262448649251385e-212	2.876501998620438e-211

Results

138.0ms	212×	body	1024	valid
42.0ms	106×	body	512	valid
36.0ms	45×	body	2048	valid
23.0ms	110×	body	256	infinite
15.0ms	85×	body	256	valid
7.0ms	27×	body	256	unsamplable
1.0ms	1×	body	1024	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 748 to 537 computations (28.2% saved)

regimes123.0ms (0.6%)

Counts

13 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)

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

Calls

3 calls:

51.0ms	(/.f64 1 n)
44.0ms	n
25.0ms	x

Results

Error	Segments	Branch
25.63%	3	`x`
39.05%	7	`n`
37.78%	7	`(/.f64 1 n)`

Compiler

Compiled 116 to 72 computations (37.9% saved)

bsearch99.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.8746992308708605e+117	2.9251440028372994e+118
56.0ms	0.03320195095459406	102.01599648787594

Results

40.0ms	106×	body	1024	valid
19.0ms	30×	body	2048	valid
13.0ms	57×	body	256	infinite
10.0ms	41×	body	512	valid
8.0ms	47×	body	256	valid
5.0ms	21×	body	256	unsamplable

Compiler

Compiled 482 to 335 computations (30.5% saved)

regimes118.0ms (0.5%)

Counts

12 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 1))
(*.f64 (/.f64 -1 n) (log.f64 x))

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

Calls

3 calls:

47.0ms	(/.f64 1 n)
43.0ms	n
25.0ms	x

Results

Error	Segments	Branch
25.8%	3	`x`
39.23%	7	`n`
37.96%	7	`(/.f64 1 n)`

Compiler

Compiled 110 to 70 computations (36.4% saved)

bsearch91.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.8746992308708605e+117	2.9251440028372994e+118
50.0ms	0.03320195095459406	102.01599648787594

Results

35.0ms	91×	body	1024	valid
17.0ms	26×	body	2048	valid
14.0ms	51×	body	512	valid
9.0ms	56×	body	256	valid
8.0ms	45×	body	256	infinite
3.0ms	18×	body	256	unsamplable

Compiler

Compiled 474 to 335 computations (29.3% saved)

regimes95.0ms (0.4%)

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

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

Calls

3 calls:

42.0ms	(/.f64 1 n)
35.0ms	n
16.0ms	x

Results

Error	Segments	Branch
29.77%	3	`x`
49.74%	7	`n`
48.25%	7	`(/.f64 1 n)`

Compiler

Compiled 98 to 62 computations (36.7% saved)

bsearch135.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
80.0ms	4.3059921547306054e+215	5.9200271484313996e+221
55.0ms	0.03320195095459406	102.01599648787594

Results

57.0ms	84×	body	2048	valid
38.0ms	95×	body	1024	valid
13.0ms	70×	body	256	infinite
12.0ms	71×	body	256	valid
5.0ms	22×	body	512	valid
5.0ms	23×	body	256	unsamplable
1.0ms	1×	body	1024	infinite

Compiler

Compiled 600 to 425 computations (29.2% saved)

regimes39.0ms (0.2%)

Counts

9 → 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 1 x) n) (/.f64 (/.f64 1/2 x) (*.f64 n x)))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
(/.f64 (log.f64 x) n)

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

Calls

3 calls:

16.0ms	n
10.0ms	x
10.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
61.31%	2	`x`
57.51%	3	`n`
57.51%	2	`(/.f64 1 n)`

Compiler

Compiled 93 to 60 computations (35.5% saved)

bsearch58.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.1317760306791233e-269	-1.4739876854991878e-270
44.0ms	-29005198048142996.0	-818386824.5268385

Results

21.0ms	113×	body	256	valid
21.0ms	44×	body	1024	valid
7.0ms	30×	body	256	infinite
5.0ms	17×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 240 to 191 computations (20.4% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.6%)

Threshold costs -0.7b (-1.6%)

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 n) x)

Calls

3 calls:

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

Results

Error	Segments	Branch
65.78%	1	`x`
65.78%	1	`n`
65.78%	1	`(/.f64 1 n)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify30.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
16×	`sub-neg`
16×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	4294968539
1	158	4294968539
2	169	4294968539
3	174	4294968539
4	176	4294968539

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -4253529586511731/42535295865117307932921825928971026432) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 5444517870735015/5444517870735015415413993718908291383296) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/9007199254740992) (/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (.f64 x n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4253529586511731/42535295865117307932921825928971026432) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 5444517870735015/5444517870735015415413993718908291383296) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/9007199254740992) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 n -1849999999999999995805696) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 n 5404319552844595/4503599627370496) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 57999999999999995805696) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))))))
(if (<=.f64 n -1949999999999999886753792) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 n 3602879701896397/4503599627370496) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 59000000000000002097152) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))))))
(if (<=.f64 x 3316536452058399/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 (/.f64 -1 n) (log.f64 x)) (if (<=.f64 x 7808014228860867/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 100) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)))))
(if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (<=.f64 x 3316536452058399/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 (/.f64 -1 n) (log.f64 x)) (if (<=.f64 x 7808014228860867/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 29000000000000001606091450439968743772459016428814862474196806344110346086584795579139759884806863444624939613339779072) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (*.f64 (/.f64 -1 n) (log.f64 1))))))
(if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 13999999999999999307935524302802841800793893075964372080258304874455299383186007579169347791870280206485406290559369216) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 -1 n) (log.f64 1))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 16999999999999999319617761094675180083638461632845614534716905721456401743867944986405055974425407777937814300794028032) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 -1 n) (log.f64 1))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 360000000000000008750320166754461275930472793925329342062328412239060610391483029716417088224074534020919924022082164005653971194119450913873356288190912638477480139657347289048818337346639139045108882129466525550418853888) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 n -820000000) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Outputs
(if (<=.f64 (/.f64 1 n) -4253529586511731/42535295865117307932921825928971026432) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 5444517870735015/5444517870735015415413993718908291383296) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/9007199254740992) (/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (.f64 x n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4253529586511731/42535295865117307932921825928971026432) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n x)) (if (<=.f64 (/.f64 1 n) 5444517870735015/5444517870735015415413993718908291383296) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/9007199254740992) (/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (.f64 n x)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4253529586511731/42535295865117307932921825928971026432) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 (/.f64 1 n) 5444517870735015/5444517870735015415413993718908291383296) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/9007199254740992) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4253529586511731/42535295865117307932921825928971026432) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n x)) (if (<=.f64 (/.f64 1 n) 5444517870735015/5444517870735015415413993718908291383296) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/9007199254740992) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 n -1849999999999999995805696) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 n 5404319552844595/4503599627370496) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 57999999999999995805696) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))))))
(if (<=.f64 n -1849999999999999995805696) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n x)) (if (<=.f64 n 5404319552844595/4503599627370496) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 57999999999999995805696) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x))))))))
(if (<=.f64 n -1949999999999999886753792) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (if (<=.f64 n 3602879701896397/4503599627370496) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 59000000000000002097152) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))))))
(if (<=.f64 n -1949999999999999886753792) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n x)) (if (<=.f64 n 3602879701896397/4503599627370496) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 59000000000000002097152) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n x)) (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x))))))))
(if (<=.f64 x 3316536452058399/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 (/.f64 -1 n) (log.f64 x)) (if (<=.f64 x 7808014228860867/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 100) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)))))
(if (<=.f64 x 3316536452058399/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 (log.f64 x) (/.f64 -1 n)) (if (<=.f64 x 7808014228860867/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 100) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n x)))))
(if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (<=.f64 x 3316536452058399/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 (/.f64 -1 n) (log.f64 x)) (if (<=.f64 x 7808014228860867/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 29000000000000001606091450439968743772459016428814862474196806344110346086584795579139759884806863444624939613339779072) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (*.f64 (/.f64 -1 n) (log.f64 1))))))
(if (<=.f64 x 3316536452058399/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 (log.f64 x) (/.f64 -1 n)) (if (<=.f64 x 7808014228860867/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 29000000000000001606091450439968743772459016428814862474196806344110346086584795579139759884806863444624939613339779072) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (*.f64 (/.f64 -1 n) 0)))))
(if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 13999999999999999307935524302802841800793893075964372080258304874455299383186007579169347791870280206485406290559369216) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 -1 n) (log.f64 1))))
(if (<=.f64 x 7746191359077253/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 13999999999999999307935524302802841800793893075964372080258304874455299383186007579169347791870280206485406290559369216) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 -1 n) 0)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 16999999999999999319617761094675180083638461632845614534716905721456401743867944986405055974425407777937814300794028032) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 -1 n) (log.f64 1))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 16999999999999999319617761094675180083638461632845614534716905721456401743867944986405055974425407777937814300794028032) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 -1 n) 0)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 360000000000000008750320166754461275930472793925329342062328412239060610391483029716417088224074534020919924022082164005653971194119450913873356288190912638477480139657347289048818337346639139045108882129466525550418853888) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 360000000000000008750320166754461275930472793925329342062328412239060610391483029716417088224074534020919924022082164005653971194119450913873356288190912638477480139657347289048818337346639139045108882129466525550418853888) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (+.f64 (+.f64 1 (/.f64 1 (.f64 n x))) -1)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 360000000000000008750320166754461275930472793925329342062328412239060610391483029716417088224074534020919924022082164005653971194119450913873356288190912638477480139657347289048818337346639139045108882129466525550418853888) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (.f64 x x)))) n) (+.f64 -1 (+.f64 1 (/.f64 1 (.f64 n x))))))
(if (<=.f64 n -820000000) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(if (or (<=.f64 n -820000000) (not (<=.f64 n -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328))) (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1))
(if (or (<=.f64 n -820000000) (not (<=.f64 n -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328))) (/.f64 (/.f64 1 n) x) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 n x)))))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))

Compiler

Compiled 543 to 367 computations (32.4% saved)

soundness640.0ms (2.9%)

Algorithm

5×	egg-herbie

Rules

1452×	`associate-/l/`
1076×	`associate-+l-`
1076×	`associate-+l-`
1076×	`associate-+l-`
1076×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	15302
1	1365	14436
2	5892	14428
0	343	5569
1	841	4523
2	4161	4507
0	488	15302
1	1365	14436
2	5892	14428
0	488	15302
1	1365	14436
2	5892	14428
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 288 to 149 computations (48.3% saved)

end228.0ms (1.1%)

Compiler: Compiled 519 to 316 computations (39.1% saved)