Details

analyze493.0ms (2.1%)

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
18.7%	68.7%	12.6%	5
21.9%	59.3%	18.8%	6
25%	50%	25.1%	7
26.5%	45.3%	28.2%	8
28.1%	35.9%	36%	9
28.9%	32.4%	38.7%	10
30.3%	26.5%	43.1%	11
30.7%	25%	44.3%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample10.1s (42.3%)

Results

2.7s	2785×	body	1024	valid
2.3s	1789×	body	2048	valid
2.2s	1665×	body	1024	invalid
869.0ms	2453×	body	256	valid
850.0ms	1229×	body	512	valid
574.0ms	950×	body	512	invalid
560.0ms	2329×	body	256	invalid
8.0ms	5×	body	2048	invalid

preprocess67.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
466×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
424×	`fma-neg_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	662	38
5	2258	38
6	6793	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 17 to 13 computations (23.5% saved)

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
287×	`*-commutative_binary64`
254×	`distribute-rgt-neg-in_binary64`
242×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	42	19
3	104	19
4	341	19
5	1130	19
6	3419	19
7	6556	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)))

eval1.0ms (0%)

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

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

31.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize28.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series16.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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)))
3.0ms	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)))

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`prod-diff_binary64`
465×	`log-prod_binary64`
316×	`pow-prod-down_binary64`
294×	`fma-def_binary64`
293×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	207	17
2	2853	17

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

Outputs
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Outputs

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-def_binary64`
554×	`times-frac_binary64`
442×	`associate-/l*_binary64`
314×	`associate-+l+_binary64`
306×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1366
1	470	1293
2	1647	1207

Stop Event

1×	node limit

Counts

139 → 154

Calls

Call 1

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

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

eval159.0ms (0.7%)

Compiler: Compiled 5229 to 3066 computations (41.4% saved)

prune68.0ms (0.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	141	13	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	13	155

Error

0.9b

Counts

155 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.2b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	36.5b	(+.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 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x))))
	16.6b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	34.5b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
	31.0b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
▶	43.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	38.1b	(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 -1/4 n) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.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 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x))))
	23.3b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
	21.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	28.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	31.0b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
▶	23.3b	(+.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
▶	49.8b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 798 to 534 computations (33.1% saved)

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (log.f64 x) 2)
✓	1.1b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)
✓	2.3b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
✓	2.4b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 100 to 48 computations (52% saved)

series250.0ms (1%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
162.0ms	x	@	0	(pow.f64 (log.f64 x) 2)
48.0ms	n	@	0	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
12.0ms	x	@	-inf	(pow.f64 (log.f64 x) 2)
11.0ms	n	@	inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
8.0ms	x	@	inf	(pow.f64 (log.f64 x) 2)

rewrite199.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log-prod_binary64`
571×	`fma-def_binary64`
306×	`fma-neg_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	277	40
2	4092	40

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

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)) (+.f64 (neg.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 0 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.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) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (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 (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 (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 1 (/.f64 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (#(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 (-.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 (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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (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) 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 pow.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log.f64 (/.f64 (+.f64 x 1) (+.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 x 1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 x 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(log1p.f64 x) 2) n))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 x) (.f64 (log1p.f64 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 2) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (.f64 n n))) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (/.f64 (log1p.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 (log1p.f64 x) 2) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (pow.f64 (log1p.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 n (pow.f64 (log1p.f64 x) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 x))) 1))))))

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
587×	`fma-def_binary64`
549×	`unsub-neg_binary64`
520×	`associate-+l+_binary64`
385×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1711
1	415	1636
2	1403	1548
3	5856	1542

Stop Event

1×	node limit

Counts

374 → 377

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n))
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n))))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))))
(.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x)))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2)))))) (/.f64 1 (*.f64 n (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 4)))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2)))))))) (/.f64 1 (*.f64 n (pow.f64 x 3))))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))))))
(+.f64 (.f64 11/12 (/.f64 1 (.f64 n (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n))
(/.f64 (pow.f64 x 2) n)
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (.f64 11/12 (/.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (.f64 -5/6 (/.f64 (pow.f64 x 5) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n)
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (.f64 n (pow.f64 x 2))))))) (/.f64 1 (*.f64 n (pow.f64 x 3))))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n)
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))) (/.f64 1 (.f64 n (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n (pow.f64 x 2)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 x) n)
✓	3.7b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	161	16
2	2057	16

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

827×	`associate-/l*_binary64`
564×	`associate-/r*_binary64`
537×	`fma-def_binary64`
525×	`associate-r_binary64`
450×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	450
1	115	444
2	292	368
3	1107	336

Stop Event

1×	node limit

Counts

86 → 76

Calls

Call 1

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

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

localize40.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x n) 1)
	0.3b	(/.f64 (log.f64 x) n)
✓	3.4b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series63.0ms (0.3%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	x	@	inf	(+.f64 (/.f64 x n) 1)
1.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	x	@	0	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	n	@	inf	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	n	@	-inf	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))

rewrite134.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`prod-diff_binary64`
547×	`log-prod_binary64`
429×	`fma-def_binary64`
292×	`pow2_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	218	23
2	3160	23

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-*l/_binary64`
570×	`div-sub_binary64`
495×	`associate-*r/_binary64`
337×	`fma-neg_binary64`
268×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	572
1	176	518
2	456	494
3	1833	460
4	7254	460

Stop Event

1×	node limit

Counts

236 → 220

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/2 (*.f64 n n))
✓	3.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	3.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓	12.1b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))

Compiler

Compiled 89 to 27 computations (69.7% saved)

series24.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
2.0ms	n	@	inf	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
2.0ms	x	@	0	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
1.0ms	n	@	0	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`fma-def_binary64`
415×	`log-div_binary64`
332×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	379	72
2	5543	72

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

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

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac_binary64`
638×	`fma-def_binary64`
519×	`associate-/r*_binary64`
501×	`associate-/l*_binary64`
463×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2613
1	459	2582
2	1596	2470
3	6979	2453

Stop Event

1×	node limit

Counts

207 → 175

Calls

Call 1

Inputs
(/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))))) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))))))))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
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(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
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(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))

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

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))
	2.3b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
	2.4b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	7.0b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))

Compiler

Compiled 181 to 97 computations (46.4% saved)

series16.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))
3.0ms	x	@	0	(-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))
3.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))
2.0ms	n	@	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log-prod_binary64`
377×	`fma-def_binary64`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	308	37
2	4155	37

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))
(-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 -1/6 (pow.f64 n 3))) (neg.f64 (*.f64 (pow.f64 (log.f64 x) 3) (/.f64 -1/6 (pow.f64 n 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 -1/6 (pow.f64 n 3))) (*.f64 (pow.f64 (log.f64 x) 3) (/.f64 -1/6 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 n (cbrt.f64 -6))) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 n (cbrt.f64 -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 n (cbrt.f64 -6))) 2) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 n (cbrt.f64 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 -1/6 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 n (cbrt.f64 -6)) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (cbrt.f64 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (pow.f64 n 3/2) (sqrt.f64 -6))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 n 3/2) (sqrt.f64 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (pow.f64 n 3) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (pow.f64 n 3) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (sqrt.f64 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simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

853×	`associate-/r*_binary64`
473×	`distribute-rgt-in_binary64`
460×	`distribute-lft-in_binary64`
295×	`fma-def_binary64`
278×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	2926
1	849	2751
2	3652	2502

Stop Event

1×	node limit

Counts

210 → 223

Calls

Call 1

Inputs
(*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (.f64 -7/24 (/.f64 (pow.f64 x 5) (pow.f64 n 3))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (*.f64 (pow.f64 n 3) x)))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2))))
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(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(+.f64 (pow.f64 x 3) (*.f64 -1 (pow.f64 (log.f64 x) 3)))
(+.f64 (.f64 -3/2 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (.f64 -1 (pow.f64 (log.f64 x) 3))))
(+.f64 (.f64 -3/2 (pow.f64 x 4)) (+.f64 (.f64 7/4 (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (*.f64 -1 (pow.f64 (log.f64 x) 3)))))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) x)
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x) (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 x))) 1)) (pow.f64 x 3))) (+.f64 (.f64 -4/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 x))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 11/12 (.f64 1/2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))) (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 4))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))))))) (/.f64 1 (pow.f64 x 4)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))
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(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (+.f64 (/.f64 (.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1/3 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))))))))

Outputs
(*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(/.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))))
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(fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) -3) x) (+.f64 (/.f64 (+.f64 11/12 (.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (pow.f64 x 4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (+.f64 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (.f64 x x)) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -1 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 (+.f64 1 (.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) -1/3)))) (pow.f64 x 3)) (fma.f64 2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (pow.f64 x 4)) (.f64 -1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (.f64 x x))))))))))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 x 4)) (-.f64 (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (.f64 2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (pow.f64 x 4)))) (/.f64 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) -1/3))))) (pow.f64 x 3)))) (*.f64 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 11/12) (pow.f64 x 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (/.f64 x -3))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 4)))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 x 4)) (+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 4)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (.f64 (/.f64 2/3 (pow.f64 x 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (log.f64 -1) (-.f64 (+.f64 (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) -1/3) (+.f64 -1 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 1 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1))))) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (+.f64 (+.f64 1 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 11/12) (.f64 x x))))) (-.f64 (/.f64 (*.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) x) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 4))))))

eval2.2s (9.4%)

Compiler: Compiled 56170 to 31154 computations (44.5% saved)

prune371.0ms (1.5%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	1374	24	1398
Fresh	5	3	8
Picked	1	0	1
Done	4	0	4
Total	1384	27	1411

Error

0.1b

Counts

1411 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	41.6b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n)
▶	61.1b	(/.f64 x n)
▶	33.8b	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
	16.5b	(+.f64 (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	16.2b	(+.f64 (/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
▶	34.5b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	39.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
	16.3b	(+.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	41.6b	(+.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/2 (.f64 x x)))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	43.9b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	21.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
▶	41.6b	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	16.6b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	41.6b	(fma.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 1 x) n))
	41.4b	(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	16.3b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	28.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	40.2b	(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 (/.f64 (log.f64 x) n) (-.f64 (/.f64 (log.f64 x) (/.f64 n -1/2)) 1)))
	40.8b	(/.f64 (-.f64 x (log.f64 x)) n)
	31.0b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	16.6b	(+.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	54.7b	(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
	40.5b	(/.f64 (neg.f64 (log.f64 x)) n)
	16.5b	(+.f64 (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	52.5b	(fma.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 1 (sqrt.f64 (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))))
▶	16.0b	(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	40.4b	(fma.f64 (/.f64 -1/2 (*.f64 n n)) (pow.f64 (log.f64 x) 2) (/.f64 (-.f64 x (log.f64 x)) n))

Compiler

Compiled 1328 to 916 computations (31% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (log.f64 x) 2)
	1.1b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)
	2.3b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
✓	2.7b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 112 to 66 computations (41.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`pow1_binary64`
635×	`log1p-expm1-u_binary64`
635×	`expm1-log1p-u_binary64`
634×	`add-log-exp_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	127	8
2	1707	8

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
703×	`associate-l_binary64`
418×	`cancel-sign-sub-inv_binary64`
415×	`times-frac_binary64`
339×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	190
1	88	184
2	224	184
3	647	181
4	2095	181

Stop Event

1×	node limit

Counts

37 → 40

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (/.f64 (log.f64 x) n))
	0.3b	(/.f64 (log.f64 x) n)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	inf	(expm1.f64 (/.f64 (log.f64 x) n))
0.0ms	n	@	-inf	(expm1.f64 (/.f64 (log.f64 x) n))
0.0ms	x	@	0	(expm1.f64 (/.f64 (log.f64 x) n))
0.0ms	n	@	0	(expm1.f64 (/.f64 (log.f64 x) n))
0.0ms	x	@	-inf	(expm1.f64 (/.f64 (log.f64 x) n))

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`pow1_binary64`
555×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
542×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	119	8
2	1495	8

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (log.f64 x) n))

Outputs

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

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-/l*_binary64`
669×	`div-sub_binary64`
538×	`associate-/r*_binary64`
485×	`associate-r_binary64`
469×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	368
1	114	364
2	270	348
3	1009	332
4	7346	332

Stop Event

1×	node limit

Counts

42 → 29

Calls

Call 1

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

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
	0.6b	(/.f64 1/2 (*.f64 n n))
	3.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓	12.1b	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))

Compiler

Compiled 106 to 49 computations (53.8% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
1.0ms	x	@	-inf	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
1.0ms	x	@	inf	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
1.0ms	n	@	-inf	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
1.0ms	n	@	inf	(fma.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 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`fma-def_binary64`
356×	`expm1-udef_binary64`
356×	`log1p-udef_binary64`
333×	`fma-neg_binary64`
214×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	454	36
2	6257	36

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

678×	`times-frac_binary64`
566×	`fma-def_binary64`
488×	`cancel-sign-sub-inv_binary64`
468×	`fma-neg_binary64`
434×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1384
1	412	1372
2	1414	1310
3	5910	1293

Stop Event

1×	node limit

Counts

47 → 49

Calls

Call 1

Inputs
(/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 n 2) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x)) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (/.f64 1 (.f64 n x))))) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (/.f64 1 (.f64 n x)))))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (+.f64 (/.f64 1 (.f64 n x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) x)))))))))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))))) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))))
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Outputs
(/.f64 (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n))))
(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))
(.f64 (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)))
(.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))
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(+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (+.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) n) n) (/.f64 (/.f64 (/.f64 1/2 n) n) (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (/.f64 1 (.f64 n x)))))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (pow.f64 n 3))) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 3))) (fma.f64 1/2 (/.f64 (log.f64 x) (.f64 (.f64 x x) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n)))))))) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (+.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x) (/.f64 1 (.f64 x n))))) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 n (.f64 x (.f64 x n)))) (/.f64 1/2 (.f64 n (.f64 x (.f64 x n))))))) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (pow.f64 n 3))) (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) n) n) (/.f64 (/.f64 (/.f64 1/2 n) n) (.f64 x x)))) (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 3))) (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) (pow.f64 n 3)) (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n)))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) (pow.f64 n 3)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n))))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (+.f64 (/.f64 1 (.f64 n x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) x)))))))))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (pow.f64 n 3))) (+.f64 (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 3))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (.f64 x x) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (log.f64 x) (.f64 (.f64 x x) (pow.f64 n 3))) (+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))) (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 4))) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (pow.f64 n 4)))))))))))) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (+.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (pow.f64 n 3)) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (.f64 x (pow.f64 n 4)))) (+.f64 (fma.f64 1/2 (/.f64 (/.f64 (log.f64 x) (.f64 x x)) (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x) (/.f64 1 (.f64 x n)))) (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (.f64 x (pow.f64 n 4)))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (pow.f64 n 4))) (.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 (/.f64 (log.f64 x) n) n))))))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (/.f64 1/2 (.f64 n (.f64 x (.f64 x n)))))) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 3))) (+.f64 (+.f64 (/.f64 (/.f64 1 x) n) (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 4))) (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) n) n) (.f64 (/.f64 1/6 (pow.f64 n 4)) (/.f64 (pow.f64 (log.f64 x) 3) x))))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (.f64 x x) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) (pow.f64 n 3)) (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)))))) (-.f64 (.f64 (/.f64 1/2 x) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (/.f64 1 (.f64 x (.f64 n n))))) (/.f64 (/.f64 1/2 n) (.f64 x x))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (fma.f64 -1/12 (/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4)) (.f64 x x)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) (pow.f64 n 3)) (+.f64 (fma.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4)) (.f64 (/.f64 (log.f64 x) n) (/.f64 (/.f64 -1/2 n) (.f64 x x)))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (pow.f64 n 4)) (/.f64 (/.f64 1 x) n)))))))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)))))
(-.f64 (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))) (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x))))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 n (.f64 x (.f64 x n)))) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x) (/.f64 1/2 (.f64 n (.f64 x (.f64 x n))))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (+.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) n) n) (/.f64 (/.f64 (/.f64 1/2 n) n) (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))))) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (/.f64 (log.f64 x) (.f64 x x))))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1 x)) n) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 n (.f64 x (.f64 x n)))) (/.f64 1/2 (.f64 n (.f64 x (.f64 x n)))))) (/.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 -1 x)) n)) (/.f64 (fma.f64 -1/2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (/.f64 (log.f64 x) (.f64 x x))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)))) (pow.f64 n 3)))
(+.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (-.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) n) n) (/.f64 (/.f64 (/.f64 1/2 n) n) (.f64 x x)))) (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) x) x) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (+.f64 (/.f64 1/4 x) -1/2))) (pow.f64 n 3))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x))) (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) x) x) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (+.f64 (/.f64 1/4 x) -1/2))) (pow.f64 n 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))))) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (.f64 -1/2 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (.f64 (pow.f64 n 2) x)) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (/.f64 (log.f64 x) (.f64 x x))))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1 x)) n) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 (.f64 n n) (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 (.f64 n n) (.f64 x x))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 (.f64 x x) (pow.f64 n 4))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 4)))))))))))
(-.f64 (-.f64 (+.f64 (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (.f64 x (pow.f64 n 4)))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (.f64 x (pow.f64 n 4))) (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x (.f64 x (pow.f64 n 4)))) (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x)))) (fma.f64 -1/2 (/.f64 (log.f64 x) (.f64 n (.f64 x (.f64 x n)))) (/.f64 1/2 (.f64 n (.f64 x (.f64 x n)))))) (/.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 -1 x)) n)) (/.f64 (fma.f64 -1/2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (/.f64 (log.f64 x) (.f64 x x))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))) (pow.f64 n 3)))
(+.f64 (+.f64 (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 (.f64 x x) (pow.f64 n 4))) (/.f64 (/.f64 (log.f64 x) n) (.f64 x n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4)) (+.f64 (/.f64 -1/12 (.f64 x x)) (/.f64 1/6 x)))) (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) x) x) n) n) (/.f64 (/.f64 (/.f64 1/2 n) n) (.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) x) x) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (+.f64 (/.f64 1/4 x) -1/2))) (pow.f64 n 3)))))
(+.f64 (+.f64 (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (pow.f64 n 4)) (/.f64 (/.f64 (log.f64 x) n) (.f64 x n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4)) (+.f64 (/.f64 -1/12 (.f64 x x)) (/.f64 1/6 x)))) (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (/.f64 1/2 (.f64 n n)) (.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))) n) (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) x) x) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (+.f64 (/.f64 1/4 x) -1/2))) (pow.f64 n 3)))))

localize145.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)
✓	2.2b	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
	2.3b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
✓	21.3b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))

Compiler

Compiled 245 to 182 computations (25.7% saved)

series8.0ms (0%)

Counts

2 → 21

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
1.0ms	n	@	inf	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
1.0ms	x	@	0	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
1.0ms	n	@	-inf	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
1.0ms	x	@	0	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`log1p-udef_binary64`
264×	`add-sqr-sqrt_binary64`
253×	`pow1_binary64`
252×	`add-log-exp_binary64`
252×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	57
1	565	57
2	7586	57

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs

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

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

Outputs

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-neg_binary64`
575×	`distribute-neg-frac_binary64`
475×	`associate-/r*_binary64`
405×	`associate-/r/_binary64`
367×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	435
1	136	435
2	331	435
3	889	399
4	3779	384
5	7926	384

Stop Event

1×	node limit

Counts

118 → 121

Calls

Call 1

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

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

eval857.0ms (3.6%)

Compiler: Compiled 39838 to 26269 computations (34.1% saved)

prune167.0ms (0.7%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	897	13	910
Fresh	9	13	22
Picked	1	0	1
Done	2	2	4
Total	909	28	937

Error

0.0b

Counts

937 → 28

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.6b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n)
✓	61.1b	(/.f64 x n)
✓	34.5b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	39.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
▶	34.6b	(neg.f64 (expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x))))
	16.3b	(+.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	43.9b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	21.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	16.6b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	40.4b	(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (.f64 (/.f64 1/2 n) (.f64 (/.f64 2 x) (/.f64 (log.f64 x) n))))
	52.5b	(fma.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 1 (sqrt.f64 (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))))
	41.5b	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n) (.f64 (/.f64 1/2 n) (*.f64 (/.f64 2 x) (/.f64 (log.f64 x) n))))
	45.2b	(neg.f64 (expm1.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))))
	37.5b	(fma.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
	45.3b	(neg.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))))
▶	38.1b	(neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)))
▶	16.3b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	28.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	53.8b	(neg.f64 (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2))
	41.9b	(+.f64 (.f64 (/.f64 1 (.f64 x n)) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x))) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	41.8b	(+.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x)))))) 1) (/.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (-.f64 (/.f64 1 x) (fma.f64 1/4 (pow.f64 x -4) (/.f64 1/2 (.f64 x x)))))) n)) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	35.0b	(neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 3))
	31.0b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
▶	34.9b	(neg.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))))
	34.6b	(neg.f64 (expm1.f64 (pow.f64 (/.f64 n (log.f64 x)) -1)))
	54.7b	(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
	40.8b	(/.f64 (-.f64 x (log.f64 x)) n)
	40.5b	(/.f64 (neg.f64 (log.f64 x)) n)

Compiler

Compiled 1137 to 807 computations (29% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (log.f64 x) 2)
	1.1b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)
	2.3b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
✓	2.3b	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))

Compiler

Compiled 158 to 81 computations (48.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`pow1_binary64`
722×	`add-log-exp_binary64`
721×	`expm1-log1p-u_binary64`
720×	`log1p-expm1-u_binary64`
704×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	172	14
2	2079	14

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-/r*_binary64`
441×	`associate-/l*_binary64`
408×	`unsub-neg_binary64`
341×	`fma-def_binary64`
301×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	474
1	201	443
2	678	399
3	2756	334

Stop Event

1×	node limit

Counts

47 → 57

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 x) 2))
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 (log.f64 x) 2))))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 11/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))))) (/.f64 1 (pow.f64 x 3)))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))))
(+.f64 (.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))))))

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x))
✓	0.1b	(/.f64 (/.f64 -1/2 x) x)
✓	4.8b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n)

Compiler

Compiled 37 to 24 computations (35.1% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
331×	`fma-def_binary64`
293×	`pow2_binary64`
279×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	228	36
2	3449	32

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-neg_binary64`
512×	`div-sub_binary64`
388×	`associate-/r*_binary64`
376×	`times-frac_binary64`
334×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	639
1	51	576
2	100	576
3	248	576
4	811	576
5	3665	513
6	5459	513

Stop Event

1×	node limit

Counts

223 → 187

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x)))
✓	0.4b	(*.f64 (/.f64 1 n) (log.f64 x))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	n	@	-inf	(expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x)))
0.0ms	n	@	0	(*.f64 (/.f64 1 n) (log.f64 x))
0.0ms	n	@	inf	(expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x)))
0.0ms	n	@	0	(expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x)))
0.0ms	x	@	-inf	(expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x)))

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`pow1_binary64`
621×	`add-log-exp_binary64`
621×	`log1p-expm1-u_binary64`
621×	`expm1-log1p-u_binary64`
607×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	153	14
2	1754	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(*.f64 (/.f64 1 n) (log.f64 x))
(expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x)))

Outputs

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

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

792×	`associate-/l*_binary64`
669×	`div-sub_binary64`
538×	`associate-/r*_binary64`
486×	`associate-r_binary64`
469×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	512
1	114	508
2	270	492
3	1008	476
4	7369	476

Stop Event

1×	node limit

Counts

90 → 54

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (/.f64 (log.f64 x) n))
✓	0.2b	(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
	0.3b	(/.f64 (log.f64 x) n)
✓	27.5b	(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3))

Compiler

Compiled 40 to 15 computations (62.5% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	inf	(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
1.0ms	n	@	-inf	(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
1.0ms	x	@	-inf	(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
1.0ms	x	@	inf	(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	187	19
2	2000	19

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3))
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)

Outputs

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

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

848×	`times-frac_binary64`
679×	`associate-+r+_binary64`
674×	`fma-def_binary64`
648×	`associate-+l+_binary64`
324×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1175
1	355	1103
2	1223	1021

Stop Event

1×	node limit

Counts

89 → 69

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(/.f64 (log.f64 x) n)
(+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(/.f64 (log.f64 x) n)
(+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x)) (pow.f64 n 5)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 (log.f64 x) 5)) (.f64 1/6 (pow.f64 (log.f64 x) 5))) (log.f64 x)) (pow.f64 n 6)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x)) (pow.f64 n 5)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (*.f64 1/4 (pow.f64 (log.f64 x) 4))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 6))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))))))
(/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 5)) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 5)) (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x))))) (pow.f64 n 5))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 5)) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 5)) (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x))))) (pow.f64 n 5))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 5)) (.f64 -1/12 (pow.f64 (log.f64 x) 5))) (log.f64 x)) (pow.f64 n 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 6))))))))))

Outputs
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1)
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(/.f64 (log.f64 x) n)
(+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 3)
(pow.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 3)
(pow.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 3)
(pow.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 3)
(pow.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1) 3)
(pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)
(/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))
(pow.f64 (/.f64 (log.f64 x) n) 3)
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))
(fma.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) 3/2 (pow.f64 (/.f64 (log.f64 x) n) 3))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x)) (pow.f64 n 5)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) 7/12) (/.f64 (pow.f64 n 5) (log.f64 x))) (.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (fma.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) 7/12) (pow.f64 n 5)) (log.f64 x)))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(+.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) 3/2 (/.f64 (*.f64 (pow.f64 (log.f64 x) 4) 7/12) (/.f64 (pow.f64 n 5) (log.f64 x)))))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 (log.f64 x) 5)) (.f64 1/6 (pow.f64 (log.f64 x) 5))) (log.f64 x)) (pow.f64 n 6)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x)) (pow.f64 n 5)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (*.f64 1/4 (pow.f64 (log.f64 x) 4))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 6))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 5) 1/4) (/.f64 (pow.f64 n 6) (log.f64 x))) (/.f64 (.f64 (pow.f64 (log.f64 x) 4) 7/12) (/.f64 (pow.f64 n 5) (log.f64 x)))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 x) 4) 7/12) (/.f64 (pow.f64 n 6) (pow.f64 (log.f64 x) 2))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) (+.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) 7/12) (pow.f64 n 5)) (log.f64 x)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 x) 6) 7/12) (pow.f64 n 6)) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (/.f64 (log.f64 x) (/.f64 (pow.f64 n 6) (.f64 (pow.f64 (log.f64 x) 5) 1/4)))))))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (pow.f64 (/.f64 (log.f64 x) n) 3)) (+.f64 (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5)) (.f64 (log.f64 x) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (/.f64 (pow.f64 n 5) 7/12)) (/.f64 (pow.f64 (log.f64 x) 5) (/.f64 (pow.f64 n 6) 1/4))))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) 3/2 (/.f64 (.f64 (pow.f64 (log.f64 x) 6) 7/24) (pow.f64 n 6)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) 5/24)))
(/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))
(pow.f64 (/.f64 (log.f64 x) n) 3)
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))
(fma.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) 3/2 (pow.f64 (/.f64 (log.f64 x) n) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 5)) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 5)) (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x))))) (pow.f64 n 5))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(fma.f64 -1 (/.f64 (fma.f64 -1/6 (pow.f64 (log.f64 x) 5) (fma.f64 -1/2 (pow.f64 (log.f64 x) 5) (neg.f64 (.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 4) 7/12))))) (pow.f64 n 5)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(-.f64 (fma.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) 5) -2/3) (.f64 (pow.f64 (log.f64 x) 4) (*.f64 7/12 (log.f64 x)))) (pow.f64 n 5)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) 3/2 (pow.f64 (/.f64 (log.f64 x) n) 3)) (/.f64 (fma.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 4) -7/12) (.f64 (pow.f64 (log.f64 x) 5) -2/3)) (pow.f64 n 5)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 5)) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 5)) (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (log.f64 x))))) (pow.f64 n 5))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 5)) (.f64 -1/12 (pow.f64 (log.f64 x) 5))) (log.f64 x)) (pow.f64 n 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 4)) (.f64 1/4 (pow.f64 (log.f64 x) 4))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 6))))))))))
(fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) (fma.f64 -1 (/.f64 (fma.f64 -1/6 (pow.f64 (log.f64 x) 5) (fma.f64 -1/2 (pow.f64 (log.f64 x) 5) (neg.f64 (.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 4) 7/12))))) (pow.f64 n 5)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 x) 5) -1/4) (/.f64 (pow.f64 n 6) (log.f64 x))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) 7/12) (/.f64 (pow.f64 n 6) (pow.f64 (log.f64 x) 2))))))))))
(+.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (-.f64 (fma.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 x) 6) 7/12) (pow.f64 n 6)))) (/.f64 (pow.f64 (log.f64 x) 5) (/.f64 (/.f64 (pow.f64 n 6) (log.f64 x)) -1/4)))) (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) 5) -2/3) (.f64 (pow.f64 (log.f64 x) 4) (.f64 7/12 (log.f64 x)))) (pow.f64 n 5))) (.f64 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) 5/24))
(+.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (pow.f64 n 6)) (.f64 (pow.f64 (log.f64 x) 5) 1/4)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) 3/2 (/.f64 (.f64 (pow.f64 (log.f64 x) 6) 7/24) (pow.f64 n 6)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6)) 5/24 (-.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (fma.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 4) -7/12) (*.f64 (pow.f64 (log.f64 x) 5) -2/3)) (pow.f64 n 5)))))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))
✓	0.4b	(pow.f64 (cbrt.f64 (log.f64 x)) 2)
✓	0.5b	(cbrt.f64 (log.f64 x))

Compiler

Compiled 68 to 34 computations (50% saved)

series18.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (log.f64 x))
2.0ms	x	@	0	(*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))
2.0ms	x	@	-inf	(*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))
2.0ms	n	@	0	(*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))
2.0ms	x	@	inf	(*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
835×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	221	27
2	2478	27

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-def_binary64`
492×	`unswap-sqr_binary64`
402×	`unsub-neg_binary64`
393×	`fma-neg_binary64`
372×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	648
1	115	580
2	237	580
3	653	580
4	2580	580
5	6932	580

Stop Event

1×	node limit

Counts

150 → 92

Calls

Call 1

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

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

eval428.0ms (1.8%)

Compiler: Compiled 25802 to 15043 computations (41.7% saved)

prune156.0ms (0.7%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	833	18	851
Fresh	7	14	21
Picked	1	0	1
Done	1	5	6
Total	842	37	879

Error

0.0b

Counts

879 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.6b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n)
✓	61.1b	(/.f64 x n)
✓	34.6b	(neg.f64 (expm1.f64 (*.f64 (/.f64 1 n) (log.f64 x))))
	32.9b	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2)))))) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	40.7b	(/.f64 (/.f64 1 n) x)
✓	34.5b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	39.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
	16.3b	(+.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	43.9b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	41.2b	(/.f64 1 (*.f64 n x))
	21.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	34.7b	(neg.f64 (expm1.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))))
	42.1b	(/.f64 (+.f64 1 (/.f64 -1/2 x)) (*.f64 n x))
	16.6b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	38.5b	(+.f64 (/.f64 (.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (fma.f64 (neg.f64 (log.f64 x)) (log.f64 x) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) n) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	34.8b	(neg.f64 (expm1.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 1/3) (.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))))
	40.4b	(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (.f64 (/.f64 1/2 n) (.f64 (/.f64 2 x) (/.f64 (log.f64 x) n))))
	44.2b	(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
	41.5b	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n) (.f64 (/.f64 1/2 n) (*.f64 (/.f64 2 x) (/.f64 (log.f64 x) n))))
	51.3b	(/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n)
	36.8b	(/.f64 (/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (/.f64 -1/2 x) x))) n)
	37.5b	(fma.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
	53.8b	(neg.f64 (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 2))
	45.1b	(neg.f64 (expm1.f64 (/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n))))
✓	38.1b	(neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 3)))
	34.9b	(neg.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (cbrt.f64 (log.f64 x)) n))))
	40.8b	(/.f64 (-.f64 x (log.f64 x)) n)
	40.7b	(/.f64 (/.f64 1 x) n)
	35.0b	(neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 x) n))) 3))
	41.9b	(+.f64 (.f64 (/.f64 1 (.f64 x n)) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x))) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	31.0b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	54.7b	(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
	42.1b	(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
	44.2b	(/.f64 (/.f64 -1/2 n) (*.f64 x x))
	28.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	34.6b	(neg.f64 (expm1.f64 (/.f64 1 (/.f64 n (log.f64 x)))))
	40.5b	(/.f64 (neg.f64 (log.f64 x)) n)

Compiler

Compiled 669 to 471 computations (29.6% saved)

regimes349.0ms (1.5%)

Counts

69 → 2

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

5 calls:

95.0ms	n
72.0ms	(/.f64 1 n)
65.0ms	x
64.0ms	(/.f64 1 n)
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.8b	2	`x`
10.1b	3	`n`
10.3b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.3b	2	`(/.f64 1 n)`
10.3b	2	`(/.f64 1 n)`

Compiler

Compiled 1531 to 847 computations (44.7% saved)

bsearch100.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
100.0ms	0.00048294639766449914	1.4483197855483507

Compiler

Compiled 125 to 90 computations (28% saved)

regimes117.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Calls

4 calls:

40.0ms	n
31.0ms	x
21.0ms	(/.f64 1 n)
19.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
8.0b	3	`x`
11.3b	3	`n`
11.3b	2	`(/.f64 1 n)`
11.3b	2	`(/.f64 1 n)`

Compiler

Compiled 184 to 108 computations (41.3% saved)

bsearch1.5s (6.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.5s	1.9114305981254868e+125	4.538677349260008e+135
97.0ms	0.00048294639766449914	1.4483197855483507

Compiler

Compiled 516 to 393 computations (23.8% saved)

regimes406.0ms (1.7%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 -1/2 n) (*.f64 x x))
(/.f64 (+.f64 1 (/.f64 -1/2 x)) (*.f64 n x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n)
(/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (/.f64 -1/2 x) x))) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n)
(/.f64 (/.f64 -1/2 n) (*.f64 x x))

Calls

4 calls:

156.0ms	(/.f64 1 n)
84.0ms	(/.f64 1 n)
79.0ms	n
77.0ms	x

Results

Error	Segments	Branch
8.1b	3	`x`
21.9b	8	`n`
21.2b	8	`(/.f64 1 n)`
21.2b	8	`(/.f64 1 n)`

Compiler

Compiled 154 to 92 computations (40.3% saved)

bsearch503.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
353.0ms	1.2283123124151983e+153	1.5578174974203931e+153
150.0ms	0.00048294639766449914	1.4483197855483507

Compiler

Compiled 364 to 246 computations (32.4% saved)

regimes465.0ms (1.9%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

4 calls:

173.0ms	(/.f64 1 n)
130.0ms	(/.f64 1 n)
88.0ms	n
69.0ms	x

Results

Error	Segments	Branch
13.8b	3	`x`
23.2b	8	`n`
21.1b	11	`(/.f64 1 n)`
21.1b	11	`(/.f64 1 n)`

Compiler

Compiled 148 to 89 computations (39.9% saved)

bsearch479.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
324.0ms	1.2283123124151983e+153	1.5578174974203931e+153
154.0ms	0.00048294639766449914	1.4483197855483507

Compiler

Compiled 364 to 238 computations (34.6% saved)

regimes106.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	(/.f64 1 n)
38.0ms	n
17.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
28.6b	7	`n`
27.9b	7	`(/.f64 1 n)`

Compiler

Compiled 82 to 49 computations (40.2% saved)

bsearch425.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
331.0ms	1.2283123124151983e+153	1.5578174974203931e+153
94.0ms	0.00048294639766449914	1.4483197855483507

Compiler

Compiled 356 to 238 computations (33.1% saved)

regimes52.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	n
16.0ms	x
11.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.2b	3	`x`
33.4b	3	`n`
33.4b	2	`(/.f64 1 n)`

Compiler

Compiled 77 to 46 computations (40.3% saved)

bsearch147.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	-3.8419645688686663e-302	2.9307119559770452e-263
103.0ms	-199448363.30931035	-0.13005693751642633

Compiler

Compiled 74 to 54 computations (27% saved)

regimes14.0ms (0.1%)

Accuracy

Total -20.9b remaining (-51.5%)

Threshold costs -20.9b (-51.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	300
1	86	300
2	102	300
3	112	300
4	116	300
5	117	300

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 9038904596117680/18446744073709551616) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 4500000000000000070319534858814909665763981388527896399914236633287656146124765283728577259819537518188412173125316017026823048671526912) (-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(if (<=.f64 x 9038904596117680/18446744073709551616) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(if (<=.f64 x 9038904596117680/18446744073709551616) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(if (<=.f64 x 9038904596117680/18446744073709551616) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(if (<=.f64 n -856624197654214272/4294967296) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 0) (/.f64 (/.f64 -1/2 n) (*.f64 x x)) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 x n)

Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 9038904596117680/18446744073709551616) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 4500000000000000070319534858814909665763981388527896399914236633287656146124765283728577259819537518188412173125316017026823048671526912) (-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(if (<=.f64 x 564931537257355/1152921504606846976) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 4500000000000000070319534858814909665763981388527896399914236633287656146124765283728577259819537518188412173125316017026823048671526912) (-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(if (<=.f64 x 9038904596117680/18446744073709551616) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(if (<=.f64 x 564931537257355/1152921504606846976) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 -2 (.f64 x x))) (.f64 x (.f64 -2 (.f64 x x)))) n) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(if (<=.f64 x 9038904596117680/18446744073709551616) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(if (<=.f64 x 564931537257355/1152921504606846976) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 -2 (.f64 x x))) (.f64 x (.f64 -2 (.f64 x x)))) n) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(if (<=.f64 x 9038904596117680/18446744073709551616) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 (.f64 -2 (.f64 x x)) 1)) (.f64 (.f64 -2 (.f64 x x)) x)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(if (<=.f64 x 564931537257355/1152921504606846976) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840) (/.f64 (/.f64 (+.f64 x (.f64 -2 (.f64 x x))) (.f64 x (.f64 -2 (.f64 x x)))) n) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(if (<=.f64 n -856624197654214272/4294967296) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 0) (/.f64 (/.f64 -1/2 n) (*.f64 x x)) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -6692376544173549/33554432) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 0) (/.f64 (/.f64 -1/2 n) (*.f64 x x)) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 n) x)
(/.f64 x n)

Compiler

Compiled 217 to 134 computations (38.2% saved)

soundness329.0ms (1.4%)

Algorithm

3×	egg-herbie

Rules

936×	`times-frac_binary64`
827×	`associate-/l*_binary64`
638×	`fma-def_binary64`
596×	`fma-def_binary64`
564×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	450
1	115	444
2	292	368
3	1107	336
0	151	1366
1	470	1293
2	1647	1207
0	154	2613
1	459	2582
2	1596	2470
3	6979	2453

Stop Event

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

Compiler

Compiled 1401 to 1075 computations (23.3% saved)

end265.0ms (1.1%)

Compiler: Compiled 203 to 106 computations (47.8% saved)