Details

analyze1.1s (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	46.8%	25.1%	7
28.1%	43.7%	28.2%	8
29.7%	34.3%	36%	9
29.7%	31.6%	38.7%	10
31.1%	25.8%	43.1%	11
31.1%	24.6%	44.3%	12
31.5%	21.9%	46.6%	13
31.5%	21%	47.5%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.5s (68.3%)

Results

2.3s	2774×	body	1024	valid
2.0s	1726×	body	1024	invalid
1.6s	1851×	body	2048	valid
749.0ms	1207×	body	512	valid
733.0ms	956×	body	512	invalid
351.0ms	1848×	body	128	valid
222.0ms	1121×	body	128	invalid
222.0ms	535×	body	256	invalid
216.0ms	576×	body	256	valid
10.0ms	5×	body	2048	invalid

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess31.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
470×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
314×	`associate-l_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	656	38
5	2206	38
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 15 to 11 computations (26.7% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
235×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`
212×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	42	19
3	104	19
4	340	19
5	1111	19
6	3393	19

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)))

prune2.0ms (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

33.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	3.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	n	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	n	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`prod-diff_binary64`
294×	`fma-def_binary64`
178×	`log1p-udef_binary64`
177×	`expm1-udef_binary64`
155×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	207	25
2	2847	25

Stop Event

1×	node limit

Counts

2 → 128

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))

Outputs
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Outputs

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-def_binary64`
565×	`associate-/l*_binary64`
379×	`cancel-sign-sub-inv_binary64`
229×	`sub-neg_binary64`
150×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2539
1	674	2530
2	2523	2020

Stop Event

1×	node limit

Counts

176 → 185

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

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

prune216.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	4	186

Error

0.8b

Counts

186 → 4

Alt Table

Status	Error	Program
	26.5b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (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)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	32.5b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	40.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x (.f64 n n)))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
▶	17.7b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Compiler

Compiled 6565 to 3857 computations (41.2% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))

series64.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
11.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	inf	(-.f64 (log1p.f64 x) (log.f64 x))
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
883×	`log1p-expm1-u_binary64`
82×	`add-sqr-sqrt_binary64`
82×	`pow1_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	154	19
2	2280	19

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

Outputs

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

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

446×	`associate-/r*_binary64`
433×	`fma-def_binary64`
243×	`cancel-sign-sub-inv_binary64`
207×	`associate-l_binary64`
206×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	598
1	192	590
2	505	590
3	1463	563

Stop Event

1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

prune163.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	94	10	104
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	95	13	108

Error

0.0b

Counts

108 → 13

Alt Table

Status	Error	Program
	43.1b	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 (/.f64 1 x) (/.f64 -1/4 (pow.f64 x 4))))) n)
	17.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
▶	17.7b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	17.8b	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) n)
	40.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x (.f64 n n)))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	17.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	37.6b	(/.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) n)
	43.3b	(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
	17.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	17.8b	(.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
	26.5b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (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)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	32.5b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	18.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)

Compiler

Compiled 2191 to 1064 computations (51.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`expm1-log1p-u_binary64`
894×	`log1p-expm1-u_binary64`
94×	`add-sqr-sqrt_binary64`
92×	`pow1_binary64`
91×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	187	11
2	2471	11

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-neg_binary64`
380×	`associate-/r*_binary64`
226×	`sub-neg_binary64`
213×	`fma-def_binary64`
175×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	408
1	138	406
2	344	406
3	960	382
4	3761	378

Stop Event

1×	node limit

Counts

65 → 58

Calls

Call 1

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

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

prune134.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	111	11	122

Error

0.0b

Counts

122 → 11

Alt Table

Status	Error	Program
	43.1b	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 (/.f64 1 x) (/.f64 -1/4 (pow.f64 x 4))))) n)
▶	17.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	37.6b	(/.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) n)
	43.3b	(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
	17.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	26.5b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (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)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	17.8b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	32.5b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	18.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	40.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x (.f64 n n)))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	17.8b	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x)))

Compiler

Compiled 2369 to 1205 computations (49.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
412×	`prod-diff_binary64`
182×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	193	22
2	2600	22

Stop Event

1×	node limit

Counts

2 → 86

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

356×	`sub-neg_binary64`
234×	`times-frac_binary64`
232×	`fma-def_binary64`
210×	`associate-/r*_binary64`
210×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	848
1	254	838
2	776	802
3	3283	767

Stop Event

1×	node limit

Counts

134 → 120

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 (log.f64 x) n))
(-.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) n)) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (.f64 1/3 (/.f64 (pow.f64 x 3) n))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) n)) (/.f64 (log.f64 x) 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 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)))
(neg.f64 (+.f64 (/.f64 n (log.f64 x)) (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(-.f64 (.f64 1/2 (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 n (log.f64 x)) (+.f64 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)) (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 3)))))
(-.f64 (+.f64 (/.f64 (.f64 n (pow.f64 x 3)) (pow.f64 (log.f64 x) 3)) (.f64 1/2 (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 2)))) (+.f64 (/.f64 n (log.f64 x)) (+.f64 (/.f64 (.f64 n (pow.f64 x 3)) (pow.f64 (log.f64 x) 4)) (+.f64 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 n (pow.f64 x 3)) (pow.f64 (log.f64 x) 2))) (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 3)))))))
(*.f64 n x)
(+.f64 (.f64 1/2 n) (.f64 n x))
(-.f64 (+.f64 (.f64 1/2 n) (.f64 n x)) (*.f64 1/12 (/.f64 n x)))
(-.f64 (+.f64 (.f64 1/2 n) (+.f64 (.f64 1/24 (/.f64 n (pow.f64 x 2))) (.f64 n x))) (.f64 1/12 (/.f64 n x)))
(*.f64 n x)
(+.f64 (.f64 1/2 n) (.f64 n x))
(-.f64 (+.f64 (.f64 1/2 n) (.f64 n x)) (*.f64 1/12 (/.f64 n x)))
(-.f64 (+.f64 (.f64 1/2 n) (+.f64 (.f64 1/24 (/.f64 n (pow.f64 x 2))) (.f64 n x))) (.f64 1/12 (/.f64 n 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))
(neg.f64 (/.f64 (log.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 1/2 (/.f64 (pow.f64 x 2) n)) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (fma.f64 1/2 (/.f64 (*.f64 x x) n) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (fma.f64 1/2 (/.f64 x (/.f64 n x)) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (fma.f64 1/2 (*.f64 (/.f64 x n) x) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (.f64 1/3 (/.f64 (pow.f64 x 3) n))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) n)) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (fma.f64 1/2 (/.f64 (.f64 x x) n) (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)) (fma.f64 1/2 (/.f64 x (/.f64 n x)) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)) (fma.f64 1/2 (*.f64 (/.f64 x n) x) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(-.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 (/.f64 1 (.f64 x n)) (/.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 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x))))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (/.f64 -1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) (-.f64 1/3 (/.f64 1/4 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 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 n) (.f64 x x)))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(-.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 (/.f64 1 (.f64 x n)) (/.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 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x))))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (/.f64 -1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(neg.f64 (+.f64 (/.f64 n (log.f64 x)) (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 n (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))))
(-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) x))
(*.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x))))
(-.f64 (.f64 1/2 (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 n (log.f64 x)) (+.f64 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)) (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 3)))))
(-.f64 (.f64 1/2 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)))) (+.f64 (+.f64 (/.f64 n (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))) (/.f64 (.f64 n (.f64 x x)) (pow.f64 (log.f64 x) 3))))
(-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (.f64 x x))) (/.f64 n (log.f64 x))) (+.f64 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) x) (/.f64 (.f64 n (.f64 x x)) (pow.f64 (log.f64 x) 3))))
(-.f64 (.f64 1/2 (/.f64 (.f64 x n) (/.f64 (pow.f64 (log.f64 x) 2) x))) (+.f64 (/.f64 n (log.f64 x)) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (+.f64 x (/.f64 x (/.f64 (log.f64 x) x))))))
(-.f64 (.f64 (/.f64 n (log.f64 x)) (+.f64 (/.f64 (.f64 x (.f64 x 1/2)) (log.f64 x)) -1)) (.f64 (+.f64 (/.f64 x (log.f64 x)) 1) (*.f64 (/.f64 x (pow.f64 (log.f64 x) 2)) n)))
(-.f64 (+.f64 (/.f64 (.f64 n (pow.f64 x 3)) (pow.f64 (log.f64 x) 3)) (.f64 1/2 (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 2)))) (+.f64 (/.f64 n (log.f64 x)) (+.f64 (/.f64 (.f64 n (pow.f64 x 3)) (pow.f64 (log.f64 x) 4)) (+.f64 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 n (pow.f64 x 3)) (pow.f64 (log.f64 x) 2))) (/.f64 (.f64 n (pow.f64 x 2)) (pow.f64 (log.f64 x) 3)))))))
(+.f64 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))) (-.f64 (.f64 1/2 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)))) (+.f64 (/.f64 n (log.f64 x)) (+.f64 (+.f64 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 x 3))) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))) (fma.f64 1/3 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))) (/.f64 (.f64 n (.f64 x x)) (pow.f64 (log.f64 x) 3)))))))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (.f64 x x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))) (/.f64 n (log.f64 x))) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (log.f64 x) 4) n)) (+.f64 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) x) (fma.f64 1/3 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (pow.f64 x 3)) (/.f64 (.f64 n (.f64 x x)) (pow.f64 (log.f64 x) 3))))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (.f64 x n) (/.f64 (pow.f64 (log.f64 x) 2) x)) (/.f64 n (pow.f64 (/.f64 (log.f64 x) x) 3))) (fma.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (pow.f64 x 3) (/.f64 n (log.f64 x)))) (fma.f64 1/3 (.f64 (pow.f64 x 3) (/.f64 n (pow.f64 (log.f64 x) 2))) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (+.f64 x (/.f64 x (/.f64 (log.f64 x) x))))))
(-.f64 (.f64 (/.f64 (.f64 x n) (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 1/2 (/.f64 x (log.f64 x)))) (+.f64 (/.f64 n (log.f64 x)) (+.f64 (.f64 (+.f64 (/.f64 x (log.f64 x)) 1) (.f64 (/.f64 x (pow.f64 (log.f64 x) 2)) n)) (.f64 (pow.f64 x 3) (+.f64 (/.f64 (.f64 n 1/3) (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 4)))))))
(*.f64 n x)
(*.f64 x n)
(+.f64 (.f64 1/2 n) (.f64 n x))
(fma.f64 1/2 n (*.f64 x n))
(*.f64 n (+.f64 x 1/2))
(-.f64 (+.f64 (.f64 1/2 n) (.f64 n x)) (*.f64 1/12 (/.f64 n x)))
(+.f64 (fma.f64 1/2 n (.f64 x n)) (.f64 -1/12 (/.f64 n x)))
(fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) -1/12)))
(fma.f64 n (+.f64 x 1/2) (*.f64 (/.f64 n x) -1/12))
(*.f64 n (-.f64 (+.f64 x 1/2) (/.f64 1/12 x)))
(-.f64 (+.f64 (.f64 1/2 n) (+.f64 (.f64 1/24 (/.f64 n (pow.f64 x 2))) (.f64 n x))) (.f64 1/12 (/.f64 n x)))
(+.f64 (fma.f64 1/2 n (fma.f64 1/24 (/.f64 n (.f64 x x)) (.f64 x n))) (*.f64 -1/12 (/.f64 n x)))
(+.f64 (fma.f64 n 1/2 (fma.f64 x n (.f64 1/24 (/.f64 n (.f64 x x))))) (*.f64 (/.f64 n x) -1/12))
(fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (-.f64 (/.f64 1/24 x) 1/12))))
(fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (+.f64 (/.f64 1/24 x) -1/12))))
(*.f64 n x)
(*.f64 x n)
(+.f64 (.f64 1/2 n) (.f64 n x))
(fma.f64 1/2 n (*.f64 x n))
(*.f64 n (+.f64 x 1/2))
(-.f64 (+.f64 (.f64 1/2 n) (.f64 n x)) (*.f64 1/12 (/.f64 n x)))
(+.f64 (fma.f64 1/2 n (.f64 x n)) (.f64 -1/12 (/.f64 n x)))
(fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) -1/12)))
(fma.f64 n (+.f64 x 1/2) (*.f64 (/.f64 n x) -1/12))
(*.f64 n (-.f64 (+.f64 x 1/2) (/.f64 1/12 x)))
(-.f64 (+.f64 (.f64 1/2 n) (+.f64 (.f64 1/24 (/.f64 n (pow.f64 x 2))) (.f64 n x))) (.f64 1/12 (/.f64 n x)))
(+.f64 (fma.f64 1/2 n (fma.f64 1/24 (/.f64 n (.f64 x x)) (.f64 x n))) (*.f64 -1/12 (/.f64 n x)))
(+.f64 (fma.f64 n 1/2 (fma.f64 x n (.f64 1/24 (/.f64 n (.f64 x x))))) (*.f64 (/.f64 n x) -1/12))
(fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (-.f64 (/.f64 1/24 x) 1/12))))
(fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (+.f64 (/.f64 1/24 x) -1/12))))

prune155.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	171	11	182

Error

0.0b

Counts

182 → 11

Alt Table

Status	Error	Program
	42.1b	(pow.f64 (fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (+.f64 (/.f64 1/24 x) -1/12)))) -1)
	17.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	43.1b	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 x) x) (+.f64 (/.f64 1 x) (/.f64 -1/4 (pow.f64 x 4))))) n)
✓	17.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	26.5b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (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)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	17.8b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	32.5b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	18.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	40.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x (.f64 n n)))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	37.6b	(/.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) n)
	17.8b	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x)))

Compiler

Compiled 3062 to 1375 computations (55.1% saved)

regimes1.1s (8.7%)

Accuracy

Total 8.2b remaining (98.8%)

Threshold costs 0b (0%)

Counts

170 → 4

Compiler

Compiled 2962 to 1511 computations (49% saved)

bsearch305.0ms (2.4%)

Algorithm

3×	binary-search

Calls

3 calls:

123.0ms	x
118.0ms	x
63.0ms	x

Steps

Iters	Point		Range
3100000.0	∈ [	3088398.55533334	,	53605071.47837042	]
6.2e-193	∈ [	6.160734365870533e-193	,	2.0614524503314717e-191	]
2e-223	∈ [	2.054716928371456e-225	,	2.0177439073797308e-223	]

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	129
1	49	129
2	57	129
3	62	129
4	65	129

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x 2604693137843693/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (pow.f64 (/.f64 n (*.f64 -1 (log.f64 x))) -1) (if (<=.f64 x 3184847909140617/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 3100000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (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 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

Outputs

(if (<=.f64 x 2604693137843693/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (pow.f64 (/.f64 n (*.f64 -1 (log.f64 x))) -1) (if (<=.f64 x 3184847909140617/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 3100000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (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 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

(if (<=.f64 x 2604693137843693/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (pow.f64 (/.f64 n (neg.f64 (log.f64 x))) -1) (if (<=.f64 x 3184847909140617/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 3100000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (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 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

end257.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 508 to 289 computations (43.1% saved)

Details

analyze1.1s (8.7%)

sample8.5s (68.3%)

preprocess31.0ms (0.2%)

simplify33.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series16.0ms (0.1%)

rewrite68.0ms (0.5%)

simplify58.0ms (0.5%)

prune216.0ms (1.7%)

localize6.0ms (0%)

series64.0ms (0.5%)

rewrite50.0ms (0.4%)

simplify28.0ms (0.2%)

prune163.0ms (1.3%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite42.0ms (0.3%)

simplify34.0ms (0.3%)

prune134.0ms (1.1%)

localize7.0ms (0.1%)

series8.0ms (0.1%)

rewrite46.0ms (0.4%)

simplify39.0ms (0.3%)

prune155.0ms (1.2%)

regimes1.1s (8.7%)

bsearch305.0ms (2.4%)

simplify4.0ms (0%)

end257.0ms (2.1%)

Profiling