Details

analyze616.0ms (2.2%)

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)

sample10.3s (36.3%)

Results

2.9s	2779×	body	1024	valid
2.5s	1709×	body	1024	invalid
2.0s	1773×	body	2048	valid
983.0ms	1305×	body	512	valid
610.0ms	949×	body	512	invalid
586.0ms	2399×	body	256	valid
583.0ms	2422×	body	256	invalid
1.0ms	1×	body	2048	invalid

preprocess88.0ms (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)

simplify59.0ms (0.2%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

31.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (0.3%)

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)))))))

simplify52.0ms (0.2%)

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))))
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(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))))

eval126.0ms (0.4%)

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

prune41.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	142	12	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	13	155

Error

0.4b

Counts

155 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(+.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))))
	50.8b	(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
▶	35.2b	(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)))
▶	45.4b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
✓	31.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
▶	28.0b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	31.4b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	18.7b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	18.7b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
	39.0b	(+.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))))
	31.4b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	37.2b	(+.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))))
	19.2b	(+.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))))

Compiler

Compiled 711 to 483 computations (32.1% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	2.1b	(log.f64 (+.f64 1 x))
✓	2.8b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series69.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	n	@	0	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
16.0ms	n	@	inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
2.0ms	x	@	-inf	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
1.0ms	n	@	-inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)

rewrite281.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`prod-diff_binary64`
489×	`log-prod_binary64`
302×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	197	22
2	2838	22

Stop Event

1×	node limit

Counts

3 → 307

Calls

Call 1

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

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

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

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
464×	`associate-/r*_binary64`
329×	`associate-+l+_binary64`
246×	`associate-+r+_binary64`
242×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	658
1	247	622
2	682	618
3	2096	585
4	7598	585

Stop Event

1×	node limit

Counts

343 → 357

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 8 computations (65.2% saved)

series110.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
84.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
14.0ms	x	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
8.0ms	x	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	n	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

rewrite64.0ms (0.2%)

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)))))))

simplify36.0ms (0.1%)

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)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
✓	4.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series12.0ms (0%)

Counts

1 → 24

Calls

6 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))
1.0ms	x	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
881×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
861×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	165	13
2	2329	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-*l/_binary64`
563×	`associate-r_binary64`
554×	`fma-def_binary64`
534×	`div-sub_binary64`
516×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	472
1	121	472
2	305	472
3	1303	456
4	6699	456

Stop Event

1×	node limit

Counts

62 → 50

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 x)
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	0.2b	(/.f64 (log1p.f64 x) n)
✓	1.6b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))

Compiler

Compiled 42 to 20 computations (52.4% saved)

series9.0ms (0%)

Counts

4 → 80

Calls

21 calls:

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

rewrite119.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`prod-diff_binary64`
511×	`log-prod_binary64`
274×	`pow2_binary64`
259×	`fma-def_binary64`
229×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	232	34
2	3170	34

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

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

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

918×	`fma-def_binary64`
605×	`times-frac_binary64`
504×	`associate-/l*_binary64`
386×	`associate-/r*_binary64`
300×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2697
1	695	2528
2	2322	2411

Stop Event

1×	node limit

Counts

281 → 316

Calls

Call 1

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

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

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1/2 (*.f64 n n))
	4.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	6.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓	13.6b	(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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))

Compiler

Compiled 89 to 27 computations (69.7% saved)

series11.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
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	@	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)))
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)))
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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))

rewrite86.0ms (0.3%)

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	64
1	379	59
2	5543	59

Stop Event

1×	node limit

Counts

3 → 83

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

((#(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))))))

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac_binary64`
602×	`fma-def_binary64`
522×	`associate-/r*_binary64`
504×	`associate-/l*_binary64`
463×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2057
1	445	2030
2	1551	1966
3	6904	1949

Stop Event

1×	node limit

Counts

143 → 126

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

eval1.4s (5%)

Compiler: Compiled 26211 to 12748 computations (51.4% saved)

prune277.0ms (1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	980	32	1012
Fresh	6	1	7
Picked	1	0	1
Done	4	1	5
Total	991	34	1025

Error

0.0b

Counts

1025 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	31.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
▶	41.2b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
	19.0b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	41.8b	(/.f64 (-.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) n)
	42.3b	(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (*.f64 (/.f64 (/.f64 1 n) (pow.f64 x 3)) (-.f64 1/3 (/.f64 1/4 x))))
▶	18.6b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
	18.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) n)
	18.7b	(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)))) n)
	40.6b	(/.f64 (fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) n)
	41.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	19.0b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	42.1b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
	31.4b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	41.9b	(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
	41.5b	(/.f64 (/.f64 1 x) n)
	45.4b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	18.7b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	19.0b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	50.8b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
	42.3b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
▶	27.6b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	27.7b	(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
	37.1b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
	28.1b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
✓	31.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	18.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	35.1b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
	35.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	18.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	50.8b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))
▶	41.8b	(/.f64 1 (*.f64 n x))
	18.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶	42.1b	(/.f64 (+.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))))) n)

Compiler

Compiled 1031 to 701 computations (32% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 x) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
✓	2.7b	(log.f64 (/.f64 (+.f64 1 x) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series59.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
16.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
1.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
1.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 x) x))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 1 x) x))

rewrite149.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
896×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	171	26
2	2371	26

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

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

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

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-neg-frac_binary64`
460×	`associate-/r*_binary64`
455×	`fma-def_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	541
1	166	531
2	449	527
3	1321	500
4	4961	494

Stop Event

1×	node limit

Counts

129 → 126

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`pow1_binary64`
521×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1416	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

23 → 23

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
887×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	176	23
2	2471	23

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

803×	`associate-l_binary64`
797×	`div-sub_binary64`
724×	`associate-/l/_binary64`
442×	`associate-/r/_binary64`
353×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	862
1	150	854
2	425	848
3	2007	816
4	6213	816

Stop Event

1×	node limit

Counts

134 → 108

Calls

Call 1

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

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

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/3 (pow.f64 x 3))
✓	0.8b	(/.f64 -1/2 (*.f64 x x))
✓	3.2b	(/.f64 (+.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))))) n)
✓	19.5b	(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))

Compiler

Compiled 109 to 75 computations (31.2% saved)

series11.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite150.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

386×	`expm1-udef_binary64`
386×	`log1p-udef_binary64`
233×	`add-sqr-sqrt_binary64`
223×	`add-log-exp_binary64`
223×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	479	65
2	7052	65

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/9 (pow.f64 x 6)) (-.f64 (.f64 1/3 (pow.f64 x -3)) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))) (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))) 2) (-.f64 (.f64 1/3 (pow.f64 x -3)) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 x -3) (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 x 6)) (.f64 (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))) (-.f64 (fma.f64 -1/4 (pow.f64 x -4) (.f64 -1/2 (pow.f64 x -2))) (.f64 1/3 (pow.f64 x -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 1/9 (pow.f64 x 6)) (pow.f64 (fma.f64 -1/4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 -1/2) x) (/.f64 (sqrt.f64 -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/8 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/8 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 -1/2 (pow.f64 x -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 1/3) x) (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 1/3) x) 2) (/.f64 (cbrt.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/27 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 1/3 (pow.f64 x -3))) 1))))))

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
579×	`distribute-neg-frac_binary64`
477×	`associate-/r*_binary64`
409×	`associate-/r/_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	1128
1	144	1128
2	359	1128
3	939	1020
4	3998	966

Stop Event

1×	node limit

Counts

182 → 158

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

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

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
✓	2.8b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	7.6b	(/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))
✓	19.6b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series13.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
2.0ms	x	@	0	(/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))
1.0ms	n	@	0	(/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))
1.0ms	x	@	inf	(/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))
1.0ms	x	@	-inf	(/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
453×	`prod-diff_binary64`
351×	`pow-prod-down_binary64`
284×	`pow2_binary64`
203×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	245	44
2	3059	44

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> 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pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
457×	`associate-/r*_binary64`
377×	`times-frac_binary64`
371×	`associate-l_binary64`
355×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1743
1	472	1723
2	1669	1679

Stop Event

1×	node limit

Counts

294 → 289

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) x) (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x)) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (pow.f64 n 3))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (log.f64 x)) 1) (log.f64 x)) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 x) (pow.f64 n 3))) (.f64 1/3 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) x) (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x)) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (pow.f64 n 3))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))))) (pow.f64 x 2)))))
(/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 3)))
(-.f64 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 5)))) (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 5)))) (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 4)))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 6))))))
(/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 3)))
(-.f64 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 5)))) (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 5)))) (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 4)))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 6))))))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))
(*.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 (pow.f64 (log.f64 x) 3))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x) (*.f64 -1 (pow.f64 (log.f64 x) 3)))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (.f64 -1 (pow.f64 (log.f64 x) 3))))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 x)) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -2/3 (log.f64 x)) 1) (log.f64 x))) (.f64 1/3 (pow.f64 (log.f64 x) 2))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (.f64 -1 (pow.f64 (log.f64 x) 3)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))

Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (/.f64 (.f64 x (.f64 x -1/2)) n) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (/.f64 (.f64 x (.f64 x -1/2)) n) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 x (*.f64 x n)))))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 1/2 (.f64 x (*.f64 x n)))))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (+.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) n))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) x))
(fma.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (.f64 x (.f64 3 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))))
(-.f64 (.f64 x (.f64 3 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(-.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) x) (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x)) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (pow.f64 n 3))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))))) (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 (.f64 3 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x (.f64 (.f64 x x) (fma.f64 -1 (/.f64 (+.f64 (log.f64 x) 1) (/.f64 (pow.f64 n 3) (log.f64 x))) (fma.f64 -2 (/.f64 (log.f64 x) (pow.f64 n 3)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))))))))
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(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 3/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 -3/2 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 7/4 (pow.f64 x 5)) (+.f64 (/.f64 3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 7/4 (pow.f64 x 5))) (+.f64 (/.f64 -3/2 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 3/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 -3/2 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 7/4 (pow.f64 x 5)) (+.f64 (/.f64 3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 7/4 (pow.f64 x 5))) (+.f64 (/.f64 -3/2 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))))

eval382.0ms (1.3%)

Compiler: Compiled 14180 to 8740 computations (38.4% saved)

prune244.0ms (0.9%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	682	22	704
Fresh	15	13	28
Picked	1	0	1
Done	2	3	5
Total	700	38	738

Error

0.0b

Counts

738 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	31.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	27.6b	(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
	41.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	38.6b	(/.f64 (log.f64 1) n)
	41.9b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
	31.9b	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)) n)
	19.0b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	46.2b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
	42.0b	(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (*.f64 x x)))))
	18.8b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	50.8b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))
	18.8b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	56.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) (pow.f64 n 3)))
✓	18.6b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
	18.7b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	41.7b	(.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
▶	18.7b	(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)))) n)
	40.6b	(/.f64 (fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) n)
	41.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	42.0b	(.f64 (/.f64 1 (.f64 x n)) (+.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1/3 (*.f64 x x))))
	31.4b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	42.0b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	42.1b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
	42.3b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
	45.4b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
✓	41.8b	(/.f64 1 (*.f64 n x))
▶	41.5b	(/.f64 (/.f64 1 x) n)
	19.0b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	41.6b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	37.1b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
	18.7b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	18.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
▶	28.0b	(/.f64 (pow.f64 x (/.f64 1 n)) (/.f64 n (/.f64 1 x)))
▶	18.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	28.0b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
▶	48.9b	(.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x)))))
✓	31.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	35.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 1030 to 709 computations (31.2% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 1 x) (cbrt.f64 x))
✓	0.5b	(pow.f64 (cbrt.f64 x) -2)
✓	0.6b	(cbrt.f64 x)
✓	3.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x))))

Compiler

Compiled 61 to 36 computations (41% saved)

series32.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x))))
9.0ms	x	@	0	(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x))))
3.0ms	x	@	inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x))))
3.0ms	x	@	inf	(cbrt.f64 x)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) -2)

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`prod-diff_binary64`
523×	`log-prod_binary64`
333×	`fma-def_binary64`
293×	`pow2_binary64`
203×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	241	36
2	3218	36

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 x) (-.f64 (log.f64 (cbrt.f64 x)) (.f64 -2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 2) (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x)))) (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2) (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (log1p.f64 x)) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 x) -2) (+.f64 -1 (neg.f64 x)))) (log.f64 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) 2)) (cbrt.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))) (sqrt.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 3)) (/.f64 1 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (-.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (.f64 -2/3 (log.f64 x))) (pow.f64 (.f64 -2/3 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2)) (/.f64 1 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (-.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (.f64 -2/3 (log.f64 x))) (pow.f64 (.f64 -2/3 (log.f64 x)) 2)) (+.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x))) (-.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 3)) (fma.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (-.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (.f64 -2/3 (log.f64 x))) (pow.f64 (.f64 -2/3 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2) (-.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 2) (.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2)) (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 3))) (neg.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (-.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (.f64 -2/3 (log.f64 x))) (pow.f64 (.f64 -2/3 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 -2/3 (log.f64 x)) 2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2))) (neg.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) 2) (pow.f64 (.f64 -2/3 (log.f64 x)) 2)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))) (.f64 -2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 -2/3 (log.f64 x)) (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (sqrt.f64 x)) (.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 x 1) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 x 1/6)) (/.f64 (+.f64 x 1) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 x 1/6)) (/.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cbrt.f64 x) (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x))))))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

139 → 139

Calls

Call 1

Inputs

Outputs

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
570×	`add-log-exp_binary64`
570×	`log1p-expm1-u_binary64`
570×	`expm1-log1p-u_binary64`
556×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1619	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	13	168

Stop Event

1×

saturated

Counts

54 → 31

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x n))
✓	0.3b	(/.f64 1/3 x)
✓	0.6b	(/.f64 1 (.f64 x (.f64 x n)))
✓	0.7b	(/.f64 1/4 (*.f64 x x))

Compiler

Compiled 71 to 36 computations (49.3% saved)

series14.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

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

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log-prod_binary64`
418×	`exp-prod_binary64`
344×	`pow-prod-down_binary64`
302×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	258	25
2	3109	25

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(/.f64 1/4 (*.f64 x x))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1/3 x)
(.f64 x (.f64 x n))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 2 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 x x) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (/.f64 1/2 x)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1/2 x))))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 1/2 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x -2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -2) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -2) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 x -2) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x -2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 x -2) n)) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 n)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 n)) -4)) (cbrt.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (pow.f64 x -2) n)) (sqrt.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 x (neg.f64 (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x n)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) n)) -2) (cbrt.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 n)) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x x) n) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) n)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x -2) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 x (neg.f64 (.f64 x n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -2) n))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -2) n)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 n)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x x) n) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x -2) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (pow.f64 x -2) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (sqrt.f64 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) n)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) n)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 x -2) n)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/3 x)) (cbrt.f64 (pow.f64 (.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x 3) -2)) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 x)))) (sqrt.f64 (log.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 x x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) n) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) n) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) n) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) n) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x -2) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x n) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 4)) (cbrt.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (sqrt.f64 n)) (sqrt.f64 (/.f64 (pow.f64 x -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 (.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -2) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x x) n) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) n)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x -2) n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 n 3) (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 x x) n))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 x x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 x x) n)))) (sqrt.f64 (log.f64 (.f64 (.f64 x x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) n) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 n)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 x x) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) n)) 1) 1))))))

simplify237.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	492
1	19	492
2	34	492
3	69	492
4	180	492
5	577	492
6	2194	492
7	3069	492
8	3233	492
9	3417	492
10	3625	492
11	3926	492
12	4317	492
13	4796	492
14	5364	492
15	6052	492
16	6885	492
17	7277	492
18	7563	492
19	7843	492
20	7919	492
21	7953	492

Stop Event

1×	node limit

Counts

213 → 159

Calls

Call 1

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

Outputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) n))
(/.f64 1 (.f64 x (.f64 x n)))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))
(*.f64 n (pow.f64 x 2))
(.f64 (.f64 x x) n)
(.f64 x (.f64 x n))

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 n (/.f64 1 x))
✓	4.5b	(/.f64 (pow.f64 x (/.f64 1 n)) (/.f64 n (/.f64 1 x)))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
404×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
252×	`pow2_binary64`
237×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	17
2	2792	17

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-*l/_binary64`
563×	`associate-r_binary64`
554×	`fma-def_binary64`
534×	`div-sub_binary64`
516×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	568
1	121	568
2	305	568
3	1303	552
4	6699	552

Stop Event

1×	node limit

Counts

159 → 123

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	0.5b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	2.8b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series9.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
1.0ms	x	@	inf	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
1.0ms	n	@	-inf	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
891×	`add-log-exp_binary64`
891×	`expm1-log1p-u_binary64`
889×	`log1p-expm1-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	171	29
2	2364	29

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

Outputs

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

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

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

simplify53.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/r*_binary64`
425×	`associate-+l+_binary64`
387×	`associate-*l/_binary64`
374×	`associate-*r/_binary64`
369×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	921
1	271	905
2	764	893
3	2605	868

Stop Event

1×	node limit

Counts

139 → 138

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(log.f64 (-.f64 1 (log.f64 x)))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (-.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 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 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 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 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 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 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/3 (.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (/.f64 1/3 x) 1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/3 (.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (/.f64 1/3 x) 1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (-.f64 1 (log.f64 x)))
(log1p.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x))))
(+.f64 (log.f64 (-.f64 1 (log.f64 x))) (/.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 x))) (/.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log1p.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 x))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log.f64 (-.f64 1 (log.f64 x)))) (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (/.f64 2 (-.f64 1 (log.f64 x)))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2)))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 2 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (log1p.f64 (neg.f64 (log.f64 x))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 1/3 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (log1p.f64 (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (log1p.f64 (neg.f64 (log.f64 x)))) (fma.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (/.f64 1/3 (-.f64 1 (log.f64 x)))) (/.f64 1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 x (-.f64 1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 7/6 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -35/24 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 7/6 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -35/24 (pow.f64 x 4))))

eval248.0ms (0.9%)

Compiler: Compiled 13145 to 7149 computations (45.6% saved)

prune131.0ms (0.5%)

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	708	9	717
Fresh	7	23	30
Picked	1	0	1
Done	0	7	7
Total	716	39	755

Error

0.0b

Counts

755 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	31.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	27.6b	(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
	41.7b	(/.f64 (neg.f64 (log.f64 x)) n)
	43.3b	(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n)
	38.6b	(/.f64 (log.f64 1) n)
	31.9b	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)) n)
	19.0b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	46.8b	(.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (*.f64 x x)))))
	42.0b	(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (*.f64 x x)))))
	50.8b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))
	18.8b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
✓	18.6b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
	18.7b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	41.7b	(.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
✓	18.7b	(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)))) n)
	41.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	42.0b	(.f64 (/.f64 1 (.f64 x n)) (+.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1/3 (*.f64 x x))))
	18.7b	(-.f64 (/.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) (pow.f64 n -1))
	31.4b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	42.0b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	42.1b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
	18.7b	(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)) 1) (+.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) 1)) n)
	42.3b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
	45.4b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
✓	41.8b	(/.f64 1 (*.f64 n x))
✓	41.5b	(/.f64 (/.f64 1 x) n)
	49.2b	(.f64 (.f64 (/.f64 1 (.f64 x n)) (/.f64 1 x)) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x)))))
	19.0b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	41.9b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
	37.1b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
	18.7b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
✓	28.0b	(/.f64 (pow.f64 x (/.f64 1 n)) (/.f64 n (/.f64 1 x)))
	41.6b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	40.2b	(/.f64 (fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 x)))) (*.f64 -2/3 (log.f64 x))) n)
	28.0b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	46.2b	(-.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) 1)
✓	31.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
✓	48.9b	(.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x)))))
	35.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 555 to 389 computations (29.9% saved)

regimes906.0ms (3.2%)

Counts

76 → 2

Calls

Call 1

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

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

Calls

5 calls:

293.0ms	n
260.0ms	(/.f64 1 n)
229.0ms	(/.f64 1 n)
82.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.8b	2	`x`
7.5b	7	`n`
12.0b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
7.5b	6	`(/.f64 1 n)`
7.5b	6	`(/.f64 1 n)`

Compiler

Compiled 1197 to 628 computations (47.5% saved)

bsearch74.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
74.0ms	7.943444794193654e-6	10.47590466303345

Compiler

Compiled 89 to 66 computations (25.8% saved)

regimes330.0ms (1.2%)

Counts

32 → 4

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	n
84.0ms	(/.f64 1 n)
84.0ms	(/.f64 1 n)
56.0ms	x

Results

Error	Segments	Branch
5.7b	4	`x`
7.9b	7	`n`
7.9b	6	`(/.f64 1 n)`
7.9b	6	`(/.f64 1 n)`

Compiler

Compiled 395 to 251 computations (36.5% saved)

bsearch1.2s (4.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
334.0ms	7.943444794193654e-6	10.47590466303345
349.0ms	3.3568657901558725e-242	1.4795339813074575e-240
513.0ms	3.6125677477074312e-292	1.0193925570547793e-286

Compiler

Compiled 570 to 431 computations (24.4% saved)

regimes310.0ms (1.1%)

Counts

28 → 4

Calls

Call 1

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

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

Calls

4 calls:

91.0ms	n
78.0ms	(/.f64 1 n)
76.0ms	(/.f64 1 n)
56.0ms	x

Results

Error	Segments	Branch
5.8b	4	`x`
8.1b	7	`n`
8.1b	6	`(/.f64 1 n)`
8.1b	6	`(/.f64 1 n)`

Compiler

Compiled 330 to 207 computations (37.3% saved)

bsearch1.9s (6.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
617.0ms	7.943444794193654e-6	10.47590466303345
590.0ms	3.3568657901558725e-242	1.4795339813074575e-240
724.0ms	3.6125677477074312e-292	1.0193925570547793e-286

Compiler

Compiled 552 to 413 computations (25.2% saved)

regimes667.0ms (2.4%)

Counts

24 → 7

Calls

Call 1

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

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

Calls

4 calls:

191.0ms	(/.f64 1 n)
184.0ms	n
182.0ms	(/.f64 1 n)
101.0ms	x

Results

Error	Segments	Branch
14.4b	5	`x`
10.4b	6	`n`
8.6b	7	`(/.f64 1 n)`
8.6b	7	`(/.f64 1 n)`

Compiler

Compiled 290 to 184 computations (36.6% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	3.582184069831097e-16	1.833355791947165e-15
0.0ms	6.970397491628757e-76	1.0640012521634476e-75
0.0ms	-1.1735042755474922e-141	-2.3630474992866633e-148
0.0ms	-4.02288133147202e-97	-4.104787133162162e-102
0.0ms	-1.1886406430218567e-41	-5.011710047733563e-53
0.0ms	-1.0899296157249883	-0.0025770325893423895

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes369.0ms (1.3%)

Counts

23 → 7

Calls

Call 1

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

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

Calls

4 calls:

102.0ms	(/.f64 1 n)
93.0ms	n
92.0ms	(/.f64 1 n)
42.0ms	x

Results

Error	Segments	Branch
16.3b	3	`x`
16.2b	5	`n`
14.5b	7	`(/.f64 1 n)`
14.5b	7	`(/.f64 1 n)`

Compiler

Compiled 282 to 178 computations (36.9% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	3.582184069831097e-16	1.833355791947165e-15
0.0ms	6.970397491628757e-76	1.0640012521634476e-75
0.0ms	-1.1735042755474922e-141	-2.3630474992866633e-148
0.0ms	-4.02288133147202e-97	-4.104787133162162e-102
0.0ms	-1.1886406430218567e-41	-5.011710047733563e-53
0.0ms	-1.0899296157249883	-0.0025770325893423895

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes466.0ms (1.6%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

183.0ms	(/.f64 1 n)
140.0ms	n
100.0ms	(/.f64 1 n)
35.0ms	x

Results

Error	Segments	Branch
16.4b	3	`x`
20.7b	9	`n`
23.2b	5	`(/.f64 1 n)`
23.2b	5	`(/.f64 1 n)`

Compiler

Compiled 274 to 173 computations (36.9% saved)

bsearch1.2s (4.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.0s	4.2770485166116646e+158	2.118210487080313e+160
193.0ms	7.943444794193654e-6	10.47590466303345

Compiler

Compiled 717 to 492 computations (31.4% saved)

regimes599.0ms (2.1%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

185.0ms	(/.f64 1 n)
178.0ms	(/.f64 1 n)
132.0ms	n
75.0ms	x

Results

Error	Segments	Branch
16.7b	3	`x`
20.8b	8	`n`
20.8b	8	`(/.f64 1 n)`
20.8b	8	`(/.f64 1 n)`

Compiler

Compiled 268 to 171 computations (36.2% saved)

bsearch744.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
595.0ms	4.2770485166116646e+158	2.118210487080313e+160
148.0ms	7.943444794193654e-6	10.47590466303345

Compiler

Compiled 708 to 492 computations (30.5% saved)

regimes118.0ms (0.4%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	x
32.0ms	n
22.0ms	(/.f64 1 n)
21.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
36.0b	3	`x`
28.1b	3	`n`
28.3b	2	`(/.f64 1 n)`
28.3b	2	`(/.f64 1 n)`

Compiler

Compiled 263 to 168 computations (36.1% saved)

bsearch257.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	8.480528869228486e-13	100.11225042802077
139.0ms	-388.04321068177927	-0.9174904375222709

Compiler

Compiled 290 to 225 computations (22.4% saved)

regimes242.0ms (0.9%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	n
56.0ms	(/.f64 1 n)
54.0ms	(/.f64 1 n)
38.0ms	x

Results

Error	Segments	Branch
37.1b	2	`x`
33.8b	4	`n`
33.8b	3	`(/.f64 1 n)`
33.8b	3	`(/.f64 1 n)`

Compiler

Compiled 259 to 165 computations (36.3% saved)

bsearch310.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
49.0ms	-8.776408082277281e-306	1.1021819398283911e-295
91.0ms	-4.0142965147833515e-92	-3.872069836293886e-95
170.0ms	-388.04321068177927	-0.9174904375222709

Compiler

Compiled 404 to 300 computations (25.7% saved)

regimes129.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	x
28.0ms	n
21.0ms	(/.f64 1 n)
18.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
38.2b	2	`x`
35.7b	3	`n`
35.8b	2	`(/.f64 1 n)`
35.8b	2	`(/.f64 1 n)`

Compiler

Compiled 192 to 124 computations (35.4% saved)

bsearch183.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	545447863634762.9	2791593007243625.0
78.0ms	-388.04321068177927	-0.9174904375222709

Compiler

Compiled 20 to 15 computations (25% saved)

regimes101.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	x
23.0ms	n
14.0ms	(/.f64 1 n)
14.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
38.5b	2	`x`
35.8b	3	`n`
35.8b	2	`(/.f64 1 n)`
35.8b	2	`(/.f64 1 n)`

Compiler

Compiled 120 to 82 computations (31.7% saved)

bsearch93.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	-1.0544627531220129e-273	-2.041091998009516e-278
84.0ms	-388.04321068177927	-0.9174904375222709

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes21.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.6%)

Threshold costs -0.3b (-0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 1 n)
5.0ms	(/.f64 1 n)
4.0ms	n
4.0ms	x

Results

Error	Segments	Branch
41.5b	1	`x`
41.5b	1	`n`
41.5b	1	`(/.f64 1 n)`
41.5b	1	`(/.f64 1 n)`

Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
12×	`sub-neg_binary64`
11×	`*-commutative_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	911
1	147	905
2	174	905
3	186	905
4	190	905

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 x 541111846629065/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 4182107294586631168/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1) (if (<=.f64 x 2871044762448691/281474976710656) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))))
(if (<=.f64 x 541111846629065/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 4182107294586631168/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1) (if (<=.f64 x 2871044762448691/281474976710656) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x))))
(if (<=.f64 (/.f64 1 n) -1) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -62771017353866808/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (.f64 x x))))) (if (<=.f64 (/.f64 1 n) -15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) -3432398830065305/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 2535301200456459/5070602400912917605986812821504) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (.f64 x x))))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)))))))
(if (<=.f64 (/.f64 1 n) -1) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -62771017353866808/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (.f64 x x))))) (if (<=.f64 (/.f64 1 n) -15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) -3432398830065305/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 2535301200456459/5070602400912917605986812821504) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (.f64 x x))))) (/.f64 (neg.f64 (log.f64 x)) n)))))))
(if (<=.f64 x 4722366482869645/590295810358705651712) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 20999999999999999668834280099033922986519364043686215086452852145847402104586636455465947948011777757168403727869273474932835578850947979430791200272677594988544) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x)))))))
(if (<=.f64 x 4722366482869645/590295810358705651712) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 20999999999999999668834280099033922986519364043686215086452852145847402104586636455465947948011777757168403727869273474932835578850947979430791200272677594988544) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (.f64 x x)))))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 67343938137124688/79228162514264337593543950336) (/.f64 (log.f64 1) n) (.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -5871356456934583/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (-.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) 1) (if (<=.f64 n 0) (.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (/.f64 1/3 x) (+.f64 1/2 (/.f64 1/4 (*.f64 x x))))) (/.f64 (/.f64 1 x) n))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4363582909078103/8) (-.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) 1) (.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (-.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) 1) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)

Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))
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(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -5871356456934583/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (+.f64 -1 (+.f64 1 (/.f64 (/.f64 1 x) n))) (if (<=.f64 n 0) (.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 1 n))) (+.f64 (/.f64 1/3 x) (+.f64 -1/2 (/.f64 -1/4 (*.f64 x x))))) (/.f64 (/.f64 1 x) n))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4363582909078103/8) (-.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) 1) (.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4363582909078103/8) (+.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) -1) (.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x)))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4363582909078103/8) (+.f64 -1 (+.f64 1 (/.f64 (/.f64 1 x) n))) (.f64 (/.f64 (/.f64 1 x) n) (+.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 x)))))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (-.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (+.f64 (+.f64 1 (/.f64 (/.f64 1 x) n)) -1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -6826528355586375/17592186044416) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (+.f64 -1 (+.f64 1 (/.f64 (/.f64 1 x) n))) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)

Compiler

Compiled 636 to 439 computations (31% saved)

soundness177.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

827×	`associate-/l*_binary64`
596×	`fma-def_binary64`
564×	`associate-/r*_binary64`
554×	`times-frac_binary64`
537×	`fma-def_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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 497 to 411 computations (17.3% saved)

end416.0ms (1.5%)

Compiler: Compiled 614 to 400 computations (34.9% saved)