Details

analyze404.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
21.4%	18.7%	68.7%	0.1%	0%	12.5%	0%	5
26.9%	21.9%	59.3%	0.1%	0%	18.7%	0%	6
33.3%	25%	50%	0.1%	0%	18.7%	6.2%	7
37%	26.5%	45.3%	0.1%	0%	21.9%	6.2%	8
43.9%	28.1%	35.9%	0.1%	2.3%	21.9%	11.7%	9
47.1%	28.9%	32.4%	0.1%	2.7%	23.4%	12.5%	10
53.3%	30.3%	26.5%	0.1%	4.1%	23.4%	15.5%	11
55.2%	30.7%	25%	0.1%	4.4%	24.2%	15.6%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample7.7s (38.4%)

Results

2.1s	2797×	body	1024	valid
1.8s	1724×	body	2048	valid
1.3s	1452×	body	1024	invalid
636.0ms	2494×	body	256	valid
569.0ms	761×	body	512	invalid
541.0ms	1241×	body	512	valid
188.0ms	812×	body	256	infinite
176.0ms	180×	body	1024	infinite
174.0ms	1299×	body	256	invalid
137.0ms	230×	body	512	infinite
84.0ms	353×	body	256	unsamplable
24.0ms	3×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess54.0ms (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)

simplify64.0ms (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

29.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	3.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series50.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
17.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
5.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite85.0ms (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))))))))

simplify151.0ms (0.7%)

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))

eval168.0ms (0.8%)

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

prune78.0ms (0.4%)

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

0.6b

Counts

320 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.2b	(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)))))
	42.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	42.1b	(/.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))))
▶	42.1b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n)))) (.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
▶	15.0b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	42.1b	(/.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))))))
	26.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	23.9b	(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
	49.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	41.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	35.0b	(+.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)))))))
▶	33.3b	(+.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)))
	36.7b	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.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)))))
	42.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (+.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))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))

Compiler

Compiled 1034 to 676 computations (34.6% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.5b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series44.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	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)

rewrite101.0ms (0.5%)

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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simplify153.0ms (0.8%)

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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	5.3b	(-.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)))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.5%)

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)))

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/2 (*.f64 n n))
✓	2.5b	(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
✓	4.0b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	7.3b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))

Compiler

Compiled 115 to 41 computations (64.3% saved)

series21.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	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))
2.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms	n	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms	n	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-/r/`
434×	`add-sqr-sqrt`
422×	`pow1`
422×	`*-un-lft-identity`
404×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	128
1	425	116
2	6325	116

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

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

simplify156.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

906×	`associate-r`
842×	`associate-/l*`
794×	`associate-l`
738×	`+-commutative`
706×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	12103
1	1737	11187
2	7970	11187

Stop Event

1×	node limit

Counts

269 → 298

Calls

Call 1

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

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
	2.5b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	3.9b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	6.1b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))

Compiler

Compiled 105 to 41 computations (61% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
2.0ms	x	@	inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
2.0ms	x	@	-inf	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
1.0ms	x	@	-inf	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
1.0ms	x	@	0	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify191.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

213 → 263

Calls

Call 1

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

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

localize138.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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))))
✓	0.0b	(.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
✓	3.7b	(-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n))))
✓	11.1b	(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n))

Compiler

Compiled 236 to 167 computations (29.2% saved)

series26.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
4.0ms	n	@	inf	(.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
4.0ms	x	@	-inf	(.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
2.0ms	x	@	0	(.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
2.0ms	n	@	-inf	(.f64 (+.f64 (pow.f64 (.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`add-sqr-sqrt`
616×	`*-un-lft-identity`
602×	`pow1`
590×	`add-exp-log`
590×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	238
1	602	238

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
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simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1298×	`+-commutative`
1142×	`associate-+r+`
1068×	`associate-r`
958×	`*-commutative`
946×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	872	31670
1	2865	31556

Stop Event

1×	node limit

Counts

202 → 386

Calls

Call 1

Inputs
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.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 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))))))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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 -2 (/.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 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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)))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))
(+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))
(+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (.f64 n x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) 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 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.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)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n))
1
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1)
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))))
1
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1)
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 (.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))))
(-.f64 1 (exp.f64 (*.f64 6 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (.f64 6 (/.f64 x n))) (exp.f64 (.f64 6 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (+.f64 (.f64 6 (/.f64 x n)) (.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (*.f64 6 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 n)) (.f64 36 (/.f64 1 (pow.f64 n 3)))) (.f64 18 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (.f64 6 (/.f64 x n)) (.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (*.f64 6 (/.f64 (log.f64 x) n))))
(.f64 6 (/.f64 (exp.f64 (.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(+.f64 (.f64 6 (/.f64 (exp.f64 (.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (/.f64 (.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n))) (exp.f64 (*.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)))
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(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 33/2 (/.f64 1 (pow.f64 n 2))) (.f64 54 (/.f64 1 (pow.f64 n 4)))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 n 3))) (.f64 3/2 (/.f64 1 n)))) (exp.f64 (.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 n)) (.f64 36 (/.f64 1 (pow.f64 n 3)))) (.f64 18 (/.f64 1 (pow.f64 n 2)))) (exp.f64 (.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 3)) (+.f64 (.f64 6 (/.f64 (exp.f64 (.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))) (/.f64 (.f64 (exp.f64 (.f64 -6 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n)))) (pow.f64 x 2)))))
(.f64 6 (/.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (.f64 n x)))
(+.f64 (.f64 6 (/.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (.f64 n x))) (/.f64 (.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (*.f64 3 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (.f64 6 (/.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (.f64 n x))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 1 n)) (.f64 36 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n)))) (pow.f64 x 2))))
(+.f64 (.f64 6 (/.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (.f64 n x))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 2 (/.f64 1 n)) (.f64 36 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (-.f64 (.f64 18 (/.f64 1 (pow.f64 n 2))) (.f64 3 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (.f64 (exp.f64 (.f64 6 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (-.f64 (+.f64 (.f64 33/2 (/.f64 1 (pow.f64 n 2))) (.f64 54 (/.f64 1 (pow.f64 n 4)))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 n 3))) (*.f64 3/2 (/.f64 1 n))))) (pow.f64 x 4)))))
(-.f64 (exp.f64 (.f64 6 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (.f64 6 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (.f64 6 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (.f64 6 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (.f64 6 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (.f64 6 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (.f64 6 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (.f64 6 (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 (.f64 6 (log.f64 (+.f64 1 x))) (.f64 6 (log.f64 x))) n)
(-.f64 (+.f64 (.f64 18 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 6 (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (.f64 18 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 6 (/.f64 (log.f64 x) n))))
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3
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3
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(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) (/.f64 1 (-.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
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(/.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n))))) (+.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2) (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2) (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n)))) (-.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3)) (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))) (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 2 n))) (.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2))) (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 2 n)) (.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)))))))
(pow.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 1)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))
(exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))))

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

eval1.3s (6.7%)

Compiler: Compiled 77259 to 44875 computations (41.9% saved)

prune465.0ms (2.3%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	1466	34	1500
Fresh	5	4	9
Picked	1	0	1
Done	3	1	4
Total	1475	39	1514

Error

Counts

1514 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	15.0b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	27.0b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	15.1b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	15.3b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	42.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	47.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	39.0b	(/.f64 (/.f64 1 x) n)
	42.1b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n)))) (.f64 (expm1.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.9b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.1b	(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
	40.0b	(/.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)
	41.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	41.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	41.9b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	42.2b	(/.f64 (-.f64 1 (exp.f64 (.f64 6 (/.f64 (log.f64 x) n)))) (.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
▶	39.7b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
	41.4b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	14.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	15.3b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	26.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	15.3b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	39.5b	(/.f64 1 (*.f64 x n))
	41.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	40.3b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	49.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	41.8b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	41.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	38.2b	(+.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))) 2) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
▶	33.5b	(+.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))) 3) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
▶	33.3b	(+.f64 (/.f64 (pow.f64 x (/.f64 1 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)))
	40.3b	(+.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 (pow.f64 x 4) n)))))
	33.1b	(+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) n) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	33.5b	(+.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (.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)))
	15.4b	(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	42.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (+.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))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	15.1b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))

Compiler

Compiled 1743 to 1207 computations (30.8% saved)

localize48.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	2.4b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series18.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) x)
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 259

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (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))))))))

simplify47.0ms (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)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/2 (*.f64 x x))
✓	0.4b	(/.f64 1/3 (pow.f64 x 3))
✓	3.1b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) n)
✓	12.0b	(+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))

Compiler

Compiled 70 to 45 computations (35.7% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite138.0ms (0.7%)

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

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 1/3 (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))))))))
((#(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))))))))

simplify187.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-r`
966×	`associate-+r+`
966×	`+-commutative`
760×	`*-commutative`
752×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	12370
1	1765	11806
2	7610	11806

Stop Event

1×	node limit

Counts

246 → 343

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 1/3 (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))))
(-.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))))

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1/2 (*.f64 n n))
	2.5b	(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
✓	4.0b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	7.3b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))

Compiler

Compiled 124 to 54 computations (56.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`associate-/r*`
1328×	`associate-/l*`
1266×	`associate-*r/`
912×	`*-commutative`
822×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	190	25
2	2584	25

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1284×	`distribute-lft-in`
1270×	`distribute-rgt-in`
1164×	`associate-/l*`
1122×	`times-frac`
930×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	3012
1	451	2950
2	1414	2944
3	6274	2944

Stop Event

1×	node limit

Counts

80 → 90

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

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
	4.0b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	7.3b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x))
✓	13.8b	(cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))

Compiler

Compiled 150 to 70 computations (53.3% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`associate-*r/`
1366×	`associate-/l*`
1044×	`*-commutative`
900×	`associate-*l/`
290×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	226	29
2	2993	29

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-*r/`
912×	`unswap-sqr`
802×	`*-commutative`
670×	`associate-*l/`
600×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2137
1	273	2069
2	659	2065
3	2027	2035
4	5219	2035

Stop Event

1×	node limit

Counts

53 → 77

Calls

Call 1

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

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

eval1.1s (5.3%)

Compiler: Compiled 41105 to 24289 computations (40.9% saved)

prune400.0ms (2%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	1261	14	1275
Fresh	9	24	33
Picked	1	0	1
Done	3	2	5
Total	1274	40	1314

Error

Counts

1314 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	15.0b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	27.0b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	15.3b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	42.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	47.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
▶	29.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
▶	39.0b	(/.f64 (/.f64 1 x) n)
	42.1b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n)))) (.f64 (expm1.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.9b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.1b	(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
	22.6b	(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
▶	41.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	41.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	41.9b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	42.2b	(/.f64 (-.f64 1 (exp.f64 (.f64 6 (/.f64 (log.f64 x) n)))) (.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.7b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
	41.4b	(/.f64 (neg.f64 (log.f64 x)) n)
	18.2b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
	35.5b	(/.f64 (log.f64 1) n)
	15.3b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	39.5b	(/.f64 1 (*.f64 x n))
	41.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	40.3b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	49.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.6b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
▶	41.8b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	41.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	33.1b	(+.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) 3) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))
	33.5b	(+.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1 n)) n)))) 3) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))
	36.9b	(+.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))) 3) (/.f64 -1/2 (.f64 x (*.f64 x n))))
	36.7b	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
	39.8b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (.f64 x (.f64 x n))))
	33.1b	(+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) x) (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) n) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	42.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (+.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))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.1b	(*.f64 (/.f64 1 x) (/.f64 1 n))
▶	14.9b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))

Compiler

Compiled 1682 to 1172 computations (30.3% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.2b	(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
✓	2.3b	(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
49.0ms	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))))
2.0ms	x	@	inf	(log.f64 (/.f64 x (+.f64 x 1)))
0.0ms	x	@	-inf	(log.f64 (/.f64 x (+.f64 x 1)))
0.0ms	x	@	0	(log.f64 (/.f64 x (+.f64 x 1)))

rewrite83.0ms (0.4%)

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))) 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(log.f64 x) (log1p.f64 x)) (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))))))))

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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) 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#<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))))))))

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

261 → 339

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) n)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-+r+`
762×	`associate-r`
626×	`associate-l`
540×	`associate-/l*`
526×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	829
1	246	805
2	738	787
3	3966	787
4	7528	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 x n))) 1)
(.f64 1 (/.f64 1 (.f64 x n)))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(.f64 (/.f64 1 (.f64 x n)) 1)
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 n)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 1 (sqrt.f64 (*.f64 x n))))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 n)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 2))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) 2) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (/.f64 1 x) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) n))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 n)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 n)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 (.f64 x n))))
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(pow.f64 (*.f64 x n) -1)
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 n)))
(sqrt.f64 (/.f64 (pow.f64 x -2) (*.f64 n n)))
(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))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x n))) 1))
(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 x) (/.f64 1 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 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 1 (sqrt.f64 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 n)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 n) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 n (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 2))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) 2) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (/.f64 1 x) (sqrt.f64 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 n) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 n (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 n)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 n)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 n) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 n (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 (.f64 x n))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 n x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 n x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (cbrt.f64 (.f64 n x)) (pow.f64 (cbrt.f64 n) 2)))
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) 2)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (/.f64 1 (cbrt.f64 (*.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)
(pow.f64 (*.f64 x n) -1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(sqrt.f64 (/.f64 (pow.f64 x -2) (*.f64 n n)))
(/.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)
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x n))) 1))
(/.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)

localize49.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (log.f64 x))
✓	0.1b	(/.f64 (-.f64 x (log.f64 x)) n)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-*r/`
1224×	`associate-/r*`
1088×	`associate-/l*`
896×	`*-commutative`
892×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	173	28
2	2505	28

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) n) (cbrt.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 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simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-+r+`
1212×	`associate-+l+`
988×	`+-commutative`
682×	`associate-/l*`
658×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	7202
1	1205	6914
2	6541	6890

Stop Event

1×	node limit

Counts

190 → 248

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
✓	0.2b	(/.f64 (log.f64 x) n)
✓	0.3b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	0.3b	(pow.f64 (/.f64 (log.f64 x) n) 2)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series5.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite164.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`associate-*r/`
1108×	`*-commutative`
840×	`associate-*l/`
820×	`associate-/r*`
664×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	90
1	257	90
2	3301	90

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

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

simplify211.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-/r*`
1012×	`associate-/l/`
868×	`associate-*r/`
854×	`*-commutative`
804×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	826	22027
1	2355	21447

Stop Event

1×	node limit

Counts

437 → 507

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))
✓	0.5b	(cbrt.f64 n)
	2.5b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	29.4b	(cbrt.f64 (*.f64 n n))

Compiler

Compiled 43 to 10 computations (76.7% saved)

series4.0ms (0%)

Counts

3 → 12

Calls

12 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`associate-*r/`
1340×	`associate-/r*`
1190×	`associate-/l*`
1150×	`associate-*l/`
254×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	246	41
2	3314	41

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`associate-*r/`
1010×	`associate-/l*`
832×	`unswap-sqr`
746×	`associate-*l/`
680×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2468
1	482	2334
2	2026	2200

Stop Event

1×	node limit

Counts

96 → 125

Calls

Call 1

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

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

eval576.0ms (2.9%)

Compiler: Compiled 35274 to 14712 computations (58.3% saved)

prune456.0ms (2.3%)

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1490	14	1504
Fresh	7	26	33
Picked	1	0	1
Done	1	5	6
Total	1499	45	1544

Error

Counts

1544 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	41.5b	(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
	53.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
	41.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
	42.5b	(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n)
	41.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) n)
	41.8b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) n)
	42.1b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))
	53.7b	(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	39.9b	(/.f64 (/.f64 (neg.f64 (log.f64 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)))
✓	39.0b	(/.f64 (/.f64 1 x) n)
	42.1b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (.f64 2 (/.f64 3 n))) (pow.f64 x (.f64 2 (/.f64 3 n)))) (.f64 (expm1.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1 x)) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.9b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	39.1b	(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x)
✓	41.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	41.8b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n)))))
	41.9b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	42.2b	(/.f64 (-.f64 1 (exp.f64 (.f64 6 (/.f64 (log.f64 x) n)))) (.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.7b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n)
	41.4b	(/.f64 (neg.f64 (log.f64 x)) n)
	18.2b	(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
	35.5b	(/.f64 (log.f64 1) n)
	41.7b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n)
	41.7b	(/.f64 (exp.f64 (log.f64 (-.f64 x (log.f64 x)))) n)
	61.1b	(/.f64 x n)
✓	39.5b	(/.f64 1 (*.f64 x n))
	15.0b	(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x))))
	41.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	40.3b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	49.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.6b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
✓	41.8b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	41.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	33.1b	(+.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) 3) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))
	33.5b	(+.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1 n)) n)))) 3) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))
	36.9b	(+.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))) 3) (/.f64 -1/2 (.f64 x (*.f64 x n))))
	36.7b	(+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
	39.8b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (.f64 x (.f64 x n))))
	33.1b	(+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	32.9b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) x) (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
	39.1b	(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 n)))
	42.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (+.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))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
	39.1b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	41.5b	(*.f64 (/.f64 -1 n) (log.f64 x))

Compiler

Compiled 858 to 600 computations (30.1% saved)

regimes276.0ms (1.4%)

Counts

77 → 3

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

90.0ms	(/.f64 1 n)
86.0ms	n
59.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.3b	2	`x`
1.0b	3	`n`
9.7b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
1.0b	3	`(/.f64 1 n)`

Compiler

Compiled 1548 to 824 computations (46.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01790913320930491	6.196208118125667e+31
0.0ms	-3.430543653561946e-5	-2.8682360336325398e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes115.0ms (0.6%)

Counts

28 → 3

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

48.0ms	n
36.0ms	(/.f64 1 n)
24.0ms	x

Results

Error	Segments	Branch
6.3b	2	`x`
1.1b	4	`n`
1.1b	3	`(/.f64 1 n)`

Compiler

Compiled 273 to 150 computations (45.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01790913320930491	6.196208118125667e+31
0.0ms	-2.8682360336325398e-5	-1.3470018891827667e-16

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes148.0ms (0.7%)

Counts

26 → 3

Calls

Call 1

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

Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

60.0ms	x
48.0ms	n
34.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
11.7b	4	`x`
1.2b	4	`n`
1.2b	3	`(/.f64 1 n)`

Compiler

Compiled 253 to 140 computations (44.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01790913320930491	6.196208118125667e+31
0.0ms	-3878996431.3400736	-3.430543653561946e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes116.0ms (0.6%)

Counts

18 → 3

Calls

Call 1

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

Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Calls

3 calls:

49.0ms	n
36.0ms	x
26.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
11.8b	4	`x`
1.2b	4	`n`
1.2b	3	`(/.f64 1 n)`

Compiler

Compiled 162 to 97 computations (40.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01790913320930491	6.196208118125667e+31
0.0ms	-3878996431.3400736	-3.430543653561946e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes244.0ms (1.2%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

3 calls:

171.0ms	x
38.0ms	n
32.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
11.9b	5	`x`
8.6b	5	`n`
8.6b	4	`(/.f64 1 n)`

Compiler

Compiled 144 to 84 computations (41.7% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.01790913320930491	6.196208118125667e+31
0.0ms	1.4330378675443878e-54	9.648573881662781e-45
0.0ms	3.364304624638642e-99	5.355495246013483e-93

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes282.0ms (1.4%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

142.0ms	(/.f64 1 n)
80.0ms	n
57.0ms	x

Results

Error	Segments	Branch
12.4b	5	`x`
16.7b	11	`n`
14.3b	14	`(/.f64 1 n)`

Compiler

Compiled 136 to 79 computations (41.9% saved)

bsearch225.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
92.0ms	2.1827296228624347e+148	1.0393730352752157e+153
33.0ms	1.1449271326150856e+137	1.6265486904486057e+137
60.0ms	2.1581283235154776e+80	2.6762716897363987e+86
38.0ms	0.08758100516295746	1.3490780551461083

Results

99.0ms	110×	body	2048	valid
71.0ms	169×	body	1024	valid
22.0ms	107×	body	256	valid
12.0ms	46×	body	512	valid
8.0ms	41×	body	256	infinite
6.0ms	31×	body	256	unsamplable

Compiler

Compiled 689 to 495 computations (28.2% saved)

regimes308.0ms (1.5%)

Counts

14 → 5

Calls

Call 1

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

Calls

3 calls:

140.0ms	(/.f64 1 n)
82.0ms	n
82.0ms	x

Results

Error	Segments	Branch
12.4b	5	`x`
16.7b	11	`n`
14.3b	14	`(/.f64 1 n)`

Compiler

Compiled 128 to 77 computations (39.8% saved)

bsearch225.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
71.0ms	2.1827296228624347e+148	1.0393730352752157e+153
29.0ms	1.1449271326150856e+137	1.6265486904486057e+137
86.0ms	2.1581283235154776e+80	2.6762716897363987e+86
39.0ms	0.08758100516295746	1.3490780551461083

Results

88.0ms	164×	body	1024	valid
87.0ms	126×	body	2048	valid
17.0ms	101×	body	256	valid
12.0ms	41×	body	256	infinite
10.0ms	41×	body	512	valid
4.0ms	23×	body	256	unsamplable

Compiler

Compiled 677 to 489 computations (27.8% saved)

regimes184.0ms (0.9%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

82.0ms	(/.f64 1 n)
67.0ms	n
33.0ms	x

Results

Error	Segments	Branch
12.7b	5	`x`
22.0b	10	`n`
21.0b	11	`(/.f64 1 n)`

Compiler

Compiled 115 to 70 computations (39.1% saved)

bsearch222.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
70.0ms	2.1827296228624347e+148	1.0393730352752157e+153
32.0ms	1.1449271326150856e+137	1.6265486904486057e+137
72.0ms	2.1581283235154776e+80	2.6762716897363987e+86
48.0ms	0.08758100516295746	1.3490780551461083

Results

91.0ms	139×	body	2048	valid
76.0ms	156×	body	1024	valid
18.0ms	93×	body	256	valid
12.0ms	44×	body	512	valid
9.0ms	49×	body	256	infinite
8.0ms	41×	body	256	unsamplable

Compiler

Compiled 671 to 489 computations (27.1% saved)

regimes53.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
16.0ms	n
12.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
32.7b	4	`x`
27.1b	3	`n`
27.2b	2	`(/.f64 1 n)`

Compiler

Compiled 104 to 64 computations (38.5% saved)

bsearch145.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	1.1999935932124196e-63	4.582016724110715e-47
53.0ms	-29149.8987037141	-2.577986388233234e-10

Results

47.0ms	233×	body	256	valid
42.0ms	230×	body	256	unsamplable
23.0ms	50×	body	512	valid
19.0ms	35×	body	1024	valid
7.0ms	34×	body	256	infinite
2.0ms	2×	body	2048	valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

regimes40.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	n
11.0ms	x
11.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
36.3b	2	`x`
34.3b	3	`n`
34.3b	2	`(/.f64 1 n)`

Compiler

Compiled 100 to 61 computations (39% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3878996431.3400736	-3.430543653561946e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	n
4.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
39.0b	1	`x`
39.0b	1	`n`
39.0b	1	`(/.f64 1 n)`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes7.0ms (0%)

Accuracy

Total -22.1b remaining (-56%)

Threshold costs -22.1b (-56%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	n
3.0ms	x

Results

Error	Segments	Branch
39.5b	1	`x`
39.5b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
18×	`sub-neg`
10×	`*-commutative`
8×	`if-if-or-not`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1059
1	149	1059
2	161	1059
3	166	1059
4	168	1059

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -8854437155380585/295147905179352825856) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -5902958103587057/295147905179352825856) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) 6156563468186637/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 x 7656119366529843/9007199254740992) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 240000000000000003511366855361969527432810317087517214226866588920751127420275571818496) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 114999999999999999645179881319512755634035769926536346056386775492998285264305649022523956070242741051221627801976549794099501266538332160) (/.f64 (log.f64 1) n) (if (<=.f64 x 270000000000000007545288641731211724067909041828265425323338310769673085221071703064788074510843369238272943762729918782297226839084382902878539350016) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 249999999999999989854181114087590682872999022412112859917434752451675980737738606379008) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 158000000000000008494246717245621315239524525648673847032968936170288123513252479667981164050737660330010073954499369059382521645322207232) (/.f64 (log.f64 1) n) (if (<=.f64 x 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 175000000000000009462118012158666567854513385153340087824865859925100918906475161583616) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136) (/.f64 (log.f64 1) n) (if (<=.f64 x 780000000000000022120539953577103598662547813231879910646817946973419161874869452934116343303946588166651193409559127842530887137917629689886714401652736) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 n -2758454771764429/281474976710656) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2623414521782945/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 (/.f64 1 n) -2000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 (/.f64 1 n) -8854437155380585/295147905179352825856) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -8854437155380585/295147905179352825856) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -5902958103587057/295147905179352825856) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -5902958103587057/295147905179352825856) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) 6156563468186637/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) 6156563468186637/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5764607523034235/288230376151711744) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 x 7656119366529843/9007199254740992) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 240000000000000003511366855361969527432810317087517214226866588920751127420275571818496) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 114999999999999999645179881319512755634035769926536346056386775492998285264305649022523956070242741051221627801976549794099501266538332160) (/.f64 (log.f64 1) n) (if (<=.f64 x 270000000000000007545288641731211724067909041828265425323338310769673085221071703064788074510843369238272943762729918782297226839084382902878539350016) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 240000000000000003511366855361969527432810317087517214226866588920751127420275571818496) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 114999999999999999645179881319512755634035769926536346056386775492998285264305649022523956070242741051221627801976549794099501266538332160) (/.f64 0 n) (if (<=.f64 x 270000000000000007545288641731211724067909041828265425323338310769673085221071703064788074510843369238272943762729918782297226839084382902878539350016) (/.f64 (/.f64 1 x) n) (/.f64 0 n)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 249999999999999989854181114087590682872999022412112859917434752451675980737738606379008) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 158000000000000008494246717245621315239524525648673847032968936170288123513252479667981164050737660330010073954499369059382521645322207232) (/.f64 (log.f64 1) n) (if (<=.f64 x 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 249999999999999989854181114087590682872999022412112859917434752451675980737738606379008) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 158000000000000008494246717245621315239524525648673847032968936170288123513252479667981164050737660330010073954499369059382521645322207232) (/.f64 0 n) (if (<=.f64 x 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056) (/.f64 (/.f64 1 x) n) (/.f64 0 n)))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 175000000000000009462118012158666567854513385153340087824865859925100918906475161583616) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136) (/.f64 (log.f64 1) n) (if (<=.f64 x 780000000000000022120539953577103598662547813231879910646817946973419161874869452934116343303946588166651193409559127842530887137917629689886714401652736) (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 175000000000000009462118012158666567854513385153340087824865859925100918906475161583616) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 (*.f64 x x)))) n) (if (<=.f64 x 129999999999999996006203513718532903369370283217111522561542208360121869838732498490647780577712740834048305125520856030334153469655515136) (/.f64 0 n) (if (<=.f64 x 780000000000000022120539953577103598662547813231879910646817946973419161874869452934116343303946588166651193409559127842530887137917629689886714401652736) (/.f64 (/.f64 1 x) n) (/.f64 0 n)))))
(if (<=.f64 n -2758454771764429/281474976710656) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2623414521782945/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (or (<=.f64 n -2758454771764429/281474976710656) (not (<=.f64 n 2623414521782945/1809251394333065553493296640760748560207343510400633813116524750123642650624))) (/.f64 (/.f64 1 x) n) (/.f64 0 n))
(if (<=.f64 (/.f64 1 n) -2000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))
(if (<=.f64 (/.f64 1 n) -2000000000) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 x) n))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 x n)

Compiler

Compiled 425 to 299 computations (29.6% saved)

soundness157.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1564×	`associate-/r*`
1076×	`associate-+l-`
1038×	`associate--r+`
1008×	`associate-+r-`
788×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	15302
1	1365	14436
2	5892	14428
0	384	5359
1	981	4933
2	3970	4927

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 128 to 94 computations (26.6% saved)

end162.0ms (0.8%)

Compiler: Compiled 401 to 263 computations (34.4% saved)