Details

analyze1.3s (6.2%)

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)

sample8.1s (40.2%)

Results

2.4s	2843×	body	1024	valid
1.6s	1489×	body	1024	invalid
1.5s	1762×	body	2048	valid
726.0ms	1268×	body	512	valid
588.0ms	2383×	body	256	valid
341.0ms	781×	body	512	invalid
304.0ms	262×	body	512	infinite
211.0ms	1302×	body	256	invalid
189.0ms	209×	body	1024	infinite
183.0ms	761×	body	256	infinite
115.0ms	302×	body	256	unsamplable
7.0ms	4×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess66.0ms (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)

simplify63.0ms (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

33.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.6b	(-.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))
✓	2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series54.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
20.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
6.0ms	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)))

rewrite88.0ms (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))))))))

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 319

Calls

Call 1

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

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

eval188.0ms (0.9%)

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

prune69.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	308	11	319
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	309	11	320

Error

0.7b

Counts

320 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.0b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
	45.1b	(/.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))))
▶	17.0b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	29.2b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	25.4b	(-.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))))
	50.8b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	44.7b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	37.6b	(+.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)))))))
▶	35.7b	(+.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)))
	39.0b	(+.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)))))
	33.6b	(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))

Compiler

Compiled 674 to 414 computations (38.6% 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)
✓	3.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series48.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
13.0ms	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)

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs
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Outputs

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simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

202 → 278

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	4.3b	(-.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)))

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

simplify62.0ms (0.3%)

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)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log.f64 x) n))
✓	0.2b	(/.f64 (log.f64 x) n)
✓	2.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

193 → 205

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/2 (*.f64 n n))
	2.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	2.8b	(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
✓	6.1b	(.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)

series8.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`associate-/l/`
1474×	`associate-/r/`
388×	`add-sqr-sqrt`
376×	`pow1`
376×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	101
1	379	91
2	5543	91

Stop Event

1×	node limit

Counts

3 → 232

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

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

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/r*`
1320×	`associate-/l*`
1284×	`associate-l`
1050×	`*-commutative`
560×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	17932
1	2330	17238

Stop Event

1×	node limit

Counts

292 → 381

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

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

localize34.0ms (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))
✓	2.7b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
	3.4b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	6.6b	(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)

series9.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) 1) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (*.f64 (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1/2 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) 1 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (+.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (log.f64 x) n))) (*.f64 (sqrt.f64 1/2) (/.f64 (log.f64 x) n)) (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))) (cbrt.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))) (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1/2 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) (fma.f64 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simplify198.0ms (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))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x)))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x))))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
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(.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 (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) -1/2 (/.f64 11/12 (.f64 n n))) (pow.f64 x 4)) (-.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 (/.f64 -1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
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(/.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 n n))
(*.f64 1/2 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
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(/.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)

eval834.0ms (4.1%)

Compiler: Compiled 48053 to 22446 computations (53.3% saved)

prune522.0ms (2.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1458	24	1482
Fresh	5	1	6
Picked	1	0	1
Done	3	1	4
Total	1467	26	1493

Error

0.1b

Counts

1493 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(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)
	17.5b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
▶	17.1b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	29.2b	(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
	29.2b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	17.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x))))))
	43.8b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	40.7b	(/.f64 (/.f64 1 x) n)
	40.7b	(/.f64 (/.f64 1 n) x)
	41.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
▶	41.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
▶	39.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	44.7b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	39.9b	(/.f64 (neg.f64 (log.f64 x)) n)
	17.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	52.0b	(/.f64 (exp.f64 (.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))) (.f64 x n))
▶	41.1b	(/.f64 1 (*.f64 x n))
	39.7b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	41.8b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	50.8b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	40.2b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	44.7b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	29.2b	(.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 x n)))
	17.1b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	44.7b	(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))

Compiler

Compiled 651 to 447 computations (31.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	3.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 30 to 9 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`associate-*r/`
1064×	`associate-/r*`
1032×	`*-commutative`
810×	`associate-*l/`
744×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	234	42
2	3035	42

Stop Event

1×	node limit

Counts

2 → 279

Calls

Call 1

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

Outputs

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

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/l*`
980×	`associate-/r*`
974×	`associate-r`
828×	`*-commutative`
792×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	17651
1	2303	17543

Stop Event

1×	node limit

Counts

327 → 471

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite90.0ms (0.4%)

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))))))))

simplify48.0ms (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)

localize7.0ms (0%)

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	@	inf	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	n	@	0	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 x (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 x (log.f64 x)) n)

rewrite88.0ms (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 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simplify135.0ms (0.7%)

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (*.f64 x x))
✓	0.2b	(/.f64 1/3 (pow.f64 x 3))
✓	4.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n)
✓	12.6b	(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))

Compiler

Compiled 68 to 45 computations (33.8% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite129.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

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

simplify216.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	20158
1	1897	19086

Stop Event

1×	node limit

Counts

298 → 414

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
	3.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 38 to 12 computations (68.4% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

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

Outputs

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

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	12907
1	1635	12175

Stop Event

1×	node limit

Counts

263 → 365

Calls

Call 1

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

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

eval857.0ms (4.3%)

Compiler: Compiled 50316 to 25188 computations (49.9% saved)

prune706.0ms (3.5%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1873	18	1891
Fresh	6	14	20
Picked	1	0	1
Done	2	3	5
Total	1882	35	1917

Error

0.1b

Counts

1917 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
▶	17.1b	(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
	38.3b	(pow.f64 (*.f64 n (+.f64 x 1/2)) -1)
	49.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
	40.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
	17.2b	(/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x 1) x))) 2) n)
	29.2b	(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
	40.1b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) n)
	29.2b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
▶	49.5b	(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	40.7b	(/.f64 (/.f64 1 x) n)
	17.1b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	40.7b	(/.f64 (/.f64 1 n) x)
	44.4b	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
	41.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	41.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
✓	39.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	44.7b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
▶	39.9b	(/.f64 (neg.f64 (log.f64 x)) n)
	17.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	52.0b	(/.f64 (exp.f64 (.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))) (.f64 x n))
▶	61.0b	(/.f64 x n)
✓	41.1b	(/.f64 1 (*.f64 x n))
	44.4b	(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
	41.8b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
▶	50.8b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	46.6b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	40.2b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	44.7b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	29.2b	(.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 x n)))
	41.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)))
	40.7b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	39.8b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	44.7b	(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))
	50.7b	(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n)))

Compiler

Compiled 822 to 587 computations (28.6% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓	0.2b	(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
	3.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	0	(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
0.0ms	x	@	inf	(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
0.0ms	x	@	-inf	(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
0.0ms	x	@	0	(*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n)

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`associate-*r/`
992×	`associate-*l/`
912×	`associate-/r*`
618×	`distribute-lft-in`
574×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	270	63
2	3341	63

Stop Event

1×	node limit

Counts

3 → 330

Calls

Call 1

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

Outputs

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

simplify221.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-/l*`
1186×	`associate-/r*`
1058×	`associate-r`
924×	`*-commutative`
914×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	20122
1	2728	19778

Stop Event

1×	node limit

Counts

390 → 563

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
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(/.f64 (/.f64 (neg.f64 n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (/.f64 (neg.f64 n) (sqrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (sqrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (/.f64 (neg.f64 n) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (/.f64 (neg.f64 n) (neg.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (/.f64 (neg.f64 n) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) (pow.f64 n 3)))
(cbrt.f64 (*.f64 (pow.f64 n 3) (/.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(exp.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log1p.f64 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log1p.f64 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (log1p.f64 x) 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (.f64 (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))) (pow.f64 (log1p.f64 x) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(*.f64 -1 (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(*.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.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 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3))) (+.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (.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 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (log1p.f64 x) (log.f64 x)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(.f64 (/.f64 (+.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 (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) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3))) (+.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)
(pow.f64 (/.f64 1 (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 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 x) (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 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2)))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 (+.f64 (/.f64 1 (.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x)))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 (+.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (neg.f64 (.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 n n)) (pow.f64 (log.f64 x) 2)))) (*.f64 x x)))))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (log.f64 x)) (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (log.f64 x))))) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2))))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (.f64 n n) (log.f64 x))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))))) (log.f64 x))))) (pow.f64 x 3)) (neg.f64 (.f64 (+.f64 (/.f64 1 (.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x))))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 n n)) (log.f64 x)) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (neg.f64 (.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 n n)) (pow.f64 (log.f64 x) 2)))) (log.f64 x))))) (pow.f64 x 3)) (neg.f64 (.f64 (+.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (neg.f64 (.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 n n)) (pow.f64 (log.f64 x) 2)))) (.f64 x x))))))
(/.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 x (*.f64 x n))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/4 (.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 (*.f64 n n) (pow.f64 x 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/4 (.f64 n (pow.f64 x 3)))) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 (/.f64 (.f64 (neg.f64 n) 1/12) (.f64 n n)) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 n) (+.f64 (.f64 -1/4 n) (.f64 1/2 (+.f64 (.f64 1/3 n) (.f64 -1/4 n))))) (pow.f64 n 2))) (+.f64 (.f64 1/2 (-.f64 (.f64 1/4 (/.f64 1 n)) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 n) (.f64 -1/4 n)) (pow.f64 n 2))))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) (pow.f64 n 2))))) (pow.f64 x 4))) (/.f64 1 (.f64 n x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) (.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(+.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 n 1/12) (.f64 n -1/12)) (.f64 n n)) (.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 n n)))) (/.f64 (.f64 n 1/12) (.f64 n n))))) (pow.f64 x 4)) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 (*.f64 n n) (pow.f64 x 3)))))))
(+.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (.f64 n -1/12) (.f64 n 1/24)) (.f64 n n)) (fma.f64 1/2 (+.f64 (/.f64 1/4 n) (/.f64 n (/.f64 (.f64 n n) 1/12))) (/.f64 (.f64 n 1/24) (.f64 n n)))) (pow.f64 x 4)) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 (/.f64 (.f64 (neg.f64 n) 1/12) (.f64 n n)) (pow.f64 x 3)))))
(/.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)))))
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(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.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) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (neg.f64 (+.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) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.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 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)))
(.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3))) (+.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (.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 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3))) (+.f64 (pow.f64 (log1p.f64 x) 4) (+.f64 (pow.f64 (log.f64 x) 4) (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6))) (+.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))
(.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (+.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) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x)))))
(.f64 (/.f64 (+.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 (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 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3))) (+.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1)
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) 2)
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	4.4b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`*-commutative`
1012×	`associate-/r*`
794×	`associate-/l*`
682×	`distribute-lft-in`
654×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	230	31
2	3284	31

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

Outputs

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

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-+l-`
1220×	`associate-*r/`
958×	`associate-+r-`
956×	`associate-*l/`
778×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	9430
1	1016	9014
2	4582	9010

Stop Event

1×	node limit

Counts

126 → 194

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (log.f64 x))
✓	0.1b	(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
✓	0.2b	(/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))
1.0ms	n	@	-inf	(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
1.0ms	n	@	-inf	(/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))
0.0ms	n	@	0	(/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))
0.0ms	x	@	-inf	(/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`associate-/l/`
822×	`associate-/r/`
794×	`swap-sqr`
694×	`distribute-rgt-in`
662×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	217	38
2	3222	38

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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n)))))))

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1618×	`associate-/r*`
1362×	`associate-/l/`
822×	`associate-/r/`
464×	`+-commutative`
448×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	5789
1	1020	5507
2	4127	5443

Stop Event

1×	node limit

Counts

173 → 207

Calls

Call 1

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

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

eval501.0ms (2.5%)

Compiler: Compiled 34445 to 15470 computations (55.1% saved)

prune464.0ms (2.3%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1398	5	1403
Fresh	2	25	27
Picked	1	0	1
Done	1	6	7
Total	1402	36	1438

Error

0.1b

Counts

1438 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
	39.9b	(pow.f64 (*.f64 (/.f64 -1 (log.f64 x)) n) -1)
	38.3b	(pow.f64 (*.f64 (+.f64 x 1/2) n) -1)
	49.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
	40.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
	17.2b	(/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x 1) x))) 2) n)
	29.2b	(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n))
	40.1b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) n)
	29.2b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	49.8b	(/.f64 (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	40.7b	(/.f64 (/.f64 1 x) n)
	17.1b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	40.7b	(/.f64 (/.f64 1 n) x)
	44.4b	(/.f64 (/.f64 1/3 (pow.f64 x 3)) n)
	41.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	41.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (*.f64 x x))) n)
✓	39.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	44.7b	(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
✓	39.9b	(/.f64 (neg.f64 (log.f64 x)) n)
	17.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	52.0b	(/.f64 (exp.f64 (.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))) (.f64 x n))
✓	61.0b	(/.f64 x n)
✓	41.1b	(/.f64 1 (*.f64 x n))
	44.4b	(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
	41.8b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
✓	50.8b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	46.6b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	40.2b	(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
✓	44.7b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	29.2b	(.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 x n)))
	41.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 1/3 (pow.f64 x -3) (/.f64 -1/2 (*.f64 x x)))) n)))
	40.7b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	39.8b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	39.9b	(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
	51.3b	(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))))
	50.7b	(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n)))

Compiler

Compiled 432 to 309 computations (28.5% saved)

regimes442.0ms (2.2%)

Counts

59 → 2

Calls

Call 1

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

Calls

4 calls:

171.0ms	(/.f64 1 n)
156.0ms	n
88.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.8b	2	`x`
8.0b	6	`n`
11.7b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
7.6b	6	`(/.f64 1 n)`

Compiler

Compiled 854 to 434 computations (49.2% saved)

bsearch67.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
66.0ms	1022.1355683865189	10195303.06363371

Results

48.0ms	60×	body	1024	valid
7.0ms	44×	body	256	valid
5.0ms	20×	body	512	valid
3.0ms	4×	body	2048	valid
2.0ms	12×	body	256	unsamplable

Compiler

Compiled 220 to 159 computations (27.7% saved)

regimes374.0ms (1.9%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

4 calls:

228.0ms	n
98.0ms	(/.f64 1 n)
32.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.8b	2	`x`
8.0b	6	`n`
11.7b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
7.6b	6	`(/.f64 1 n)`

Compiler

Compiled 374 to 199 computations (46.8% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	1022.1355683865189	10195303.06363371

Results

22.0ms	59×	body	1024	valid
10.0ms	55×	body	256	valid
3.0ms	5×	body	2048	valid
2.0ms	12×	body	256	unsamplable
2.0ms	9×	body	512	valid

Compiler

Compiled 220 to 159 computations (27.7% saved)

regimes218.0ms (1.1%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	n
67.0ms	(/.f64 1 n)
25.0ms	x

Results

Error	Segments	Branch
6.8b	2	`x`
7.6b	7	`n`
7.6b	6	`(/.f64 1 n)`

Compiler

Compiled 178 to 104 computations (41.6% saved)

bsearch45.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	1022.1355683865189	10195303.06363371

Results

20.0ms	54×	body	1024	valid
9.0ms	45×	body	256	valid
6.0ms	9×	body	2048	valid
5.0ms	20×	body	512	valid
2.0ms	11×	body	256	unsamplable

Compiler

Compiled 204 to 143 computations (29.9% saved)

regimes199.0ms (1%)

Counts

20 → 5

Calls

Call 1

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

Calls

3 calls:

91.0ms	x
56.0ms	n
46.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
14.5b	3	`x`
8.9b	6	`n`
8.9b	5	`(/.f64 1 n)`

Compiler

Compiled 169 to 100 computations (40.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.518976915200537e-22	1.9085826000154207e-13
0.0ms	7.3373684360345126e-68	7.906582601162044e-68
0.0ms	-2.1141603236780506e-202	-3.0140465321766595e-204
0.0ms	-3.3927421191787155e-163	-1.785676815503093e-163

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes206.0ms (1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	n
80.0ms	(/.f64 1 n)
34.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
19.2b	9	`n`
19.2b	9	`(/.f64 1 n)`

Compiler

Compiled 161 to 95 computations (41% saved)

bsearch108.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	9.442281007917845e+114	6.320425466529516e+115
60.0ms	5.102290116088939e-7	1.7406571556985635

Results

51.0ms	112×	body	1024	valid
25.0ms	37×	body	2048	valid
9.0ms	59×	body	256	valid
8.0ms	45×	body	256	infinite
8.0ms	32×	body	512	valid
2.0ms	10×	body	256	unsamplable

Compiler

Compiled 521 to 357 computations (31.5% saved)

regimes161.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

72.0ms	(/.f64 1 n)
59.0ms	n
26.0ms	x

Results

Error	Segments	Branch
16.6b	3	`x`
22.8b	9	`n`
22.8b	9	`(/.f64 1 n)`

Compiler

Compiled 117 to 70 computations (40.2% saved)

bsearch116.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	3.018073646752421e+187	8.354737945204371e+187
62.0ms	5.102290116088939e-7	1.7406571556985635

Results

45.0ms	56×	body	2048	valid
38.0ms	95×	body	1024	valid
11.0ms	54×	body	256	infinite
8.0ms	28×	body	512	valid
7.0ms	45×	body	256	valid
1.0ms	7×	body	256	unsamplable

Compiler

Compiled 497 to 343 computations (31% saved)

regimes120.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	(/.f64 1 n)
46.0ms	n
22.0ms	x

Results

Error	Segments	Branch
17.0b	3	`x`
28.6b	8	`n`
28.7b	8	`(/.f64 1 n)`

Compiler

Compiled 97 to 59 computations (39.2% saved)

bsearch111.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	3.018073646752421e+187	8.354737945204371e+187
63.0ms	5.102290116088939e-7	1.7406571556985635

Results

49.0ms	102×	body	1024	valid
30.0ms	45×	body	2048	valid
10.0ms	54×	body	256	infinite
8.0ms	50×	body	256	valid
7.0ms	27×	body	512	valid
2.0ms	9×	body	256	unsamplable

Compiler

Compiled 488 to 343 computations (29.7% saved)

regimes45.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	n
15.0ms	x
11.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
38.9b	2	`x`
36.4b	3	`n`
36.4b	2	`(/.f64 1 n)`

Compiler

Compiled 92 to 56 computations (39.1% saved)

bsearch75.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	-3.418943539015112e-217	-2.196111120694467e-224
19.0ms	-1984.7568920570634	-1027.8535098432114

Results

32.0ms	184×	body	256	valid
29.0ms	122×	body	256	infinite
9.0ms	18×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 280 to 223 computations (20.4% saved)

regimes14.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
40.7b	1	`x`
40.7b	1	`n`
40.7b	1	`(/.f64 1 n)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes7.0ms (0%)

Accuracy

Total -20.3b remaining (-49.4%)

Threshold costs -20.3b (-49.4%)

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	x
3.0ms	n

Results

Error	Segments	Branch
41.1b	1	`x`
41.1b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
18×	`*-commutative`
16×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	839
1	120	839
2	135	839
3	142	839
4	145	839

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 2050000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 850000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 x n))))
(if (<=.f64 x 2050000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (if (<=.f64 (/.f64 1 n) 4553130216154053/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 5316911983139663/10633823966279326983230456482242756608) (pow.f64 (.f64 n (+.f64 x 1/2)) -1) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 62000000000000000964683800026944267504628486609105808868925775986711694432214853602429094174732941755924789413806080) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (/.f64 1/3 (.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 69999999999999995433256354361237656912525650248439198401855792940542955425985635898172698117459874019844740449601975453820157657516027661697196222496978063811188322653935297497958363168768) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 82000000000000004366937501552270807617271944634311240936619786420815458694346091415964718408490634114248166218367652980097847849438535021077484779833114694903848128397555802364302988410880) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 n -1050) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -1146064980651225/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 x 2050000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 2050000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 850000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (.f64 x n))))
(if (<=.f64 x 2050000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (if (<=.f64 (/.f64 1 n) 4553130216154053/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 5316911983139663/10633823966279326983230456482242756608) (pow.f64 (.f64 n (+.f64 x 1/2)) -1) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))
(if (<=.f64 (/.f64 1 n) -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (/.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 -1/2 (.f64 x x))) n) (if (<=.f64 (/.f64 1 n) 4553130216154053/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 5316911983139663/10633823966279326983230456482242756608) (pow.f64 (.f64 n (+.f64 x 1/2)) -1) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 62000000000000000964683800026944267504628486609105808868925775986711694432214853602429094174732941755924789413806080) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (/.f64 1/3 (.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 62000000000000000964683800026944267504628486609105808868925775986711694432214853602429094174732941755924789413806080) (/.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 -1/2 (.f64 x x))) n) (/.f64 1/3 (.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 69999999999999995433256354361237656912525650248439198401855792940542955425985635898172698117459874019844740449601975453820157657516027661697196222496978063811188322653935297497958363168768) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 69999999999999995433256354361237656912525650248439198401855792940542955425985635898172698117459874019844740449601975453820157657516027661697196222496978063811188322653935297497958363168768) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (+.f64 (+.f64 1 (/.f64 1 (.f64 x n))) -1)))
(if (<=.f64 x 7656119366529843/9007199254740992) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 69999999999999995433256354361237656912525650248439198401855792940542955425985635898172698117459874019844740449601975453820157657516027661697196222496978063811188322653935297497958363168768) (/.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 -1/2 (.f64 x x))) n) (+.f64 -1 (+.f64 1 (/.f64 1 (.f64 x n))))))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 82000000000000004366937501552270807617271944634311240936619786420815458694346091415964718408490634114248166218367652980097847849438535021077484779833114694903848128397555802364302988410880) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 82000000000000004366937501552270807617271944634311240936619786420815458694346091415964718408490634114248166218367652980097847849438535021077484779833114694903848128397555802364302988410880) (/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 1/2 (.f64 x x))) n) (+.f64 (+.f64 1 (/.f64 1 (.f64 x n))) -1)))
(if (<=.f64 x 5404319552844595/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 82000000000000004366937501552270807617271944634311240936619786420815458694346091415964718408490634114248166218367652980097847849438535021077484779833114694903848128397555802364302988410880) (/.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 1/3 (.f64 x x)))) (/.f64 -1/2 (.f64 x x))) n) (+.f64 -1 (+.f64 1 (/.f64 1 (.f64 x n))))))
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(if (or (<=.f64 n -1050) (not (<=.f64 n -1146064980651225/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792))) (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) -1))
(if (or (<=.f64 n -1050) (not (<=.f64 n -1146064980651225/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792))) (/.f64 (/.f64 1 n) x) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 x n)))))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Compiler

Compiled 328 to 226 computations (31.1% saved)

soundness164.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1076×	`associate-+l-`
1076×	`associate-+l-`
1038×	`associate--r+`
1038×	`associate--r+`
1008×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 109 to 56 computations (48.6% saved)

end175.0ms (0.9%)

Compiler: Compiled 308 to 192 computations (37.7% saved)