Details

analyze1.1s (8.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	50%	22%	7
28.1%	46.8%	25.1%	8
29.7%	41.4%	29%	9
29.7%	39.4%	30.9%	10
31.1%	35.8%	33.1%	11
31.1%	34.4%	34.5%	12
31.5%	32.9%	35.6%	13
31.5%	32.1%	36.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample198.0ms (1.5%)

Algorithm

1×

intervals

Results

54.0ms	93×	body	1024	valid
31.0ms	45×	body	2048	valid
26.0ms	34×	body	1024	nan
17.0ms	45×	body	512	valid
16.0ms	90×	body	128	overflowed
10.0ms	22×	body	512	nan
7.0ms	7×	body	1024	invalid
5.0ms	56×	body	128	valid
4.0ms	9×	body	512	invalid
4.0ms	17×	body	256	valid
2.0ms	9×	body	256	nan
2.0ms	29×	body	128	nan
1.0ms	9×	body	128	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-rgt-neg-in_binary64`
436×	`unswap-sqr_binary64`
309×	`*-commutative_binary64`
248×	`sub-neg_binary64`
235×	`distribute-rgt-in_binary64` `associate-/l/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	40	19
3	96	19
4	228	19
5	723	19
6	1798	19
7	3290	19
8	4831	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	33.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
1.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite123.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

33.9b

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
16×	`unpow-prod-down_binary64`
13×	`pow-unpow_binary64`
12×	`add-cube-cbrt_binary64`

Counts

2 → 57

Calls

2 calls:

11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 1280 to 917 computations (28.4% saved)

series142.0ms (1.1%)

Error

0.8b

Counts

2 → 29

Calls

2 calls:

71.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
32.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 2059 to 1543 computations (25.1% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

717×	`times-frac_binary64`
546×	`associate-/r*_binary64`
377×	`associate-/l*_binary64`
241×	`cancel-sign-sub-inv_binary64`
170×	`sub-neg_binary64`

Counts

86 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2574
1	598	2488
2	1797	2198
3	5119	2198

prune87.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

0.8b

Counts

71 → 7

Alt Table

Status	Error	Program
	33.9b	(*.f64 (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
	29.8b	(+.f64 (-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 3))
	20.3b	(+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n)))
▶	19.8b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
	39.3b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n n)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 11/24 (pow.f64 x 4)))) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)))) (.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))))) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 4)) (+.f64 (/.f64 1/4 n) (/.f64 1/4 (pow.f64 n 3)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (*.f64 n (pow.f64 x 3)))))))))
	53.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n))))) (+.f64 (pow.f64 x (/.f64 1 n)) (.f64 1/2 (.f64 (/.f64 x n) x))))

Compiler

Compiled 1683 to 1131 computations (32.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
2.5b	(log.f64 (+.f64 1 x))
2.8b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite124.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

44×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
24×	`times-frac_binary64`
22×	`log-pow_binary64`

Counts

3 → 94

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
7.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1278 to 786 computations (38.5% saved)

series101.0ms (0.8%)

Error

0.5b

Counts

3 → 36

Calls

3 calls:

43.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
17.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
11.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1098 to 800 computations (27.1% saved)

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

363×	`sub-neg_binary64`
359×	`neg-mul-1_binary64`
278×	`div-sub_binary64`
205×	`associate-l_binary64`
203×	`cancel-sign-sub-inv_binary64`

Counts

130 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2413
1	481	2309
2	1093	2294
3	3148	2294
4	4367	2294
5	4928	2294

prune126.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	103	9	112
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	105	14	119

Error

0.4b

Counts

119 → 14

Alt Table

Status	Error	Program
	36.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 3))
	19.9b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 3)) n)
	33.9b	(*.f64 (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
	29.8b	(+.f64 (-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2))
	33.5b	(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 3))
	19.9b	(*.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))
	19.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	20.3b	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (+.f64 x 1)) (+.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
	39.3b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n n)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 11/24 (pow.f64 x 4)))) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)))) (.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))))) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 4)) (+.f64 (/.f64 1/4 n) (/.f64 1/4 (pow.f64 n 3)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (*.f64 n (pow.f64 x 3)))))))))
	53.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n))))) (+.f64 (pow.f64 x (/.f64 1 n)) (.f64 1/2 (.f64 (/.f64 x n) x))))
▶	19.8b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	42.8b	(/.f64 (-.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)))) n)
	20.0b	(/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (*.f64 n (+.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))

Compiler

Compiled 2151 to 1359 computations (36.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
0.2b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
2.5b	(log.f64 (+.f64 x 1))
2.8b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))

rewrite331.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

210×	`times-frac_binary64`
172×	`*-un-lft-identity_binary64`
134×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
75×	`pow1_binary64`

Counts

4 → 237

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
7.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
6.0ms	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
4.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 3882 to 2550 computations (34.3% saved)

series161.0ms (1.2%)

Error

0.4b

Counts

4 → 51

Calls

4 calls:

49.0ms	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
42.0ms	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
17.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
13.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1712 to 1233 computations (28% saved)

simplify225.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

774×	`times-frac_binary64`
452×	`associate-/l*_binary64`
265×	`div-sub_binary64`
258×	`cancel-sign-sub-inv_binary64`
220×	`associate-/r/_binary64`

Counts

288 → 218

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	6599
1	644	6154
2	1776	6010
3	4672	6007
4	5430	6007

prune154.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	218	14	232

Error

0.4b

Counts

232 → 14

Alt Table

Status	Error	Program
	39.3b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	36.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 3))
	19.9b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 3)) n)
	33.9b	(*.f64 (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
	29.8b	(+.f64 (-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 3))
	19.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
▶	19.8b	(/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	20.3b	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (+.f64 x 1)) (+.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
	39.3b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n n)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 11/24 (pow.f64 x 4)))) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)))) (.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))))) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 4)) (+.f64 (/.f64 1/4 n) (/.f64 1/4 (pow.f64 n 3)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (*.f64 n (pow.f64 x 3)))))))))
	53.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n))))) (+.f64 (pow.f64 x (/.f64 1 n)) (.f64 1/2 (.f64 (/.f64 x n) x))))
	42.8b	(/.f64 (-.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)))) n)
	20.0b	(/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (*.f64 n (+.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
	41.5b	(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (.f64 (/.f64 n x) (-.f64 (/.f64 1/24 x) 1/12))))

Compiler

Compiled 2634 to 1665 computations (36.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(log.f64 (+.f64 x 1))
2.5b	(log.f64 (+.f64 x 1))
2.5b	(log.f64 (+.f64 x 1))
2.8b	(-.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (pow.f64 (log.f64 x) 2))

rewrite150.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`cancel-sign-sub-inv_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(-.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (pow.f64 (log.f64 x) 2))
3.0ms	(log.f64 (+.f64 x 1))
3.0ms	(log.f64 (+.f64 x 1))
3.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 2179 to 1527 computations (29.9% saved)

series127.0ms (1%)

Error

0.4b

Counts

4 → 36

Calls

4 calls:

22.0ms	(-.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (pow.f64 (log.f64 x) 2))
16.0ms	(log.f64 (+.f64 x 1))
14.0ms	(log.f64 (+.f64 x 1))
14.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 2466 to 1809 computations (26.6% saved)

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

360×	`times-frac_binary64`
332×	`associate-r_binary64`
329×	`associate-l_binary64`
243×	`cancel-sign-sub-inv_binary64`
238×	`exp-prod_binary64`

Counts

113 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1983
1	383	1748
2	1054	1699
3	4182	1699
4	4847	1699
5	4943	1699

prune112.0ms (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	73	15	88

Error

0.4b

Counts

88 → 15

Alt Table

Status	Error	Program
	39.3b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	41.9b	(/.f64 (/.f64 (*.f64 2 (/.f64 (log.f64 x) x)) n) (+.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	36.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 3))
	19.9b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 3)) n)
	33.9b	(*.f64 (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))
	29.8b	(+.f64 (-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 3))
	19.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	19.8b	(/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	20.3b	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (+.f64 x 1)) (+.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
	39.3b	(+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n n)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 11/24 (pow.f64 x 4)))) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)))) (.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))))) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x 4)) (+.f64 (/.f64 1/4 n) (/.f64 1/4 (pow.f64 n 3)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (*.f64 n (pow.f64 x 3)))))))))
	53.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (/.f64 x n) (/.f64 x n))))) (+.f64 (pow.f64 x (/.f64 1 n)) (.f64 1/2 (.f64 (/.f64 x n) x))))
	42.8b	(/.f64 (-.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)))) n)
	20.0b	(/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (*.f64 n (+.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
	41.5b	(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (.f64 (/.f64 n x) (-.f64 (/.f64 1/24 x) 1/12))))

Compiler

Compiled 2105 to 1374 computations (34.7% saved)

regimes2.6s (19.1%)

Accuracy

Total 8.1b remaining (96.1%)

Threshold costs 0b (0%)

Compiler

Compiled 18739 to 13694 computations (26.9% saved)

bsearch341.0ms (2.6%)

Steps

Iters	Range		Point
6	0.47301453872517335	5.9429223313802435	5.830620068006982
6	3.942117607852426e-196	3.8984841034428625e-195	3.99724409399589e-196
3	1.2912168254455602e-204	1.527815805935282e-204	1.483453497093459e-204
4	9.193879622769643e-240	1.7524632289701065e-239	9.330362945474234e-240
8	2.4740421994962953e-275	7.2591024000249186e-273	7.1995284566196765e-273

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`+-commutative_binary64`
21×	`*-commutative_binary64`
16×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	236
1	106	236
2	124	236
3	147	236
4	167	236
5	178	236
6	183	236
7	185	236
8	182	236

end4.0ms (0%)

Compiler: Compiled 158 to 104 computations (34.2% saved)

sample6.7s (50.4%)

Algorithm

1×

intervals

Results

1.5s	2704×	body	1024	valid
1.1s	1400×	body	1024	nan
985.0ms	1690×	body	2048	valid
484.0ms	1259×	body	512	valid
483.0ms	2608×	body	128	overflowed
326.0ms	696×	body	512	nan
173.0ms	1797×	body	128	valid
167.0ms	184×	body	1024	invalid
123.0ms	247×	body	512	invalid
122.0ms	550×	body	256	valid
91.0ms	377×	body	256	nan
52.0ms	826×	body	128	nan
35.0ms	269×	body	128	invalid
35.0ms	129×	body	256	invalid
2.0ms	2×	body	2048	nan

Compiler

Compiled 622 to 431 computations (30.7% saved)

Iter	Nodes	Cost
0	75	236
1	106	236
2	124	236
3	147	236
4	167	236
5	178	236
6	183	236
7	185	236
8	182	236

Iter	Nodes	Cost
0	75	236
1	106	236
2	124	236
3	147	236
4	167	236
5	178	236
6	183	236
7	185	236
8	182	236

Details

analyze1.1s (8.4%)

sample198.0ms (1.5%)

simplify51.0ms (0.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite123.0ms (0.9%)

series142.0ms (1.1%)

simplify77.0ms (0.6%)

prune87.0ms (0.7%)

localize8.0ms (0.1%)

rewrite124.0ms (0.9%)

series101.0ms (0.8%)

simplify130.0ms (1%)

prune126.0ms (0.9%)

localize9.0ms (0.1%)

rewrite331.0ms (2.5%)

series161.0ms (1.2%)

simplify225.0ms (1.7%)

prune154.0ms (1.2%)

localize14.0ms (0.1%)

rewrite150.0ms (1.1%)

series127.0ms (1%)

simplify124.0ms (0.9%)

prune112.0ms (0.8%)

regimes2.6s (19.1%)

bsearch341.0ms (2.6%)

simplify15.0ms (0.1%)

end4.0ms (0%)

sample6.7s (50.4%)

Profiling

Iter	Nodes	Cost
0	75	236
1	106	236
2	124	236
3	147	236
4	167	236
5	178	236
6	183	236
7	185	236
8	182	236