Details

analyze938.0ms (5%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	50%	12.6%	5
37.5%	43.7%	18.8%	6
43.7%	34.3%	22%	7
43.7%	31.2%	25.1%	8
46.8%	24.2%	29%	9
46.8%	21.9%	31.3%	10
48.4%	18%	33.6%	11
48.4%	17.2%	34.4%	12
49.2%	15.2%	35.6%	13
49.2%	14.8%	36%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.3s (44.2%)

Results

2.4s	2363×	body	1024	valid
1.7s	1223×	body	1024	invalid
1.4s	1416×	body	2048	valid
753.0ms	1110×	body	512	valid
662.0ms	2787×	body	128	valid
565.0ms	594×	body	512	invalid
363.0ms	1732×	body	128	invalid
251.0ms	580×	body	256	valid
139.0ms	309×	body	256	invalid
10.0ms	6×	body	2048	invalid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
359×	`sub-neg_binary64`
289×	`unsub-neg_binary64`
253×	`distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	41	19
3	102	19
4	248	19
5	790	19
6	2110	19
7	4405	19
8	5048	19

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	28.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	1.5b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	1.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series87.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

36.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
35.0ms	(pow.f64 x (/.f64 1 n))
15.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
76×	`unpow-prod-down_binary64`
65×	`add-sqr-sqrt_binary64`
56×	`prod-diff_binary64`
53×	`add-cube-cbrt_binary64`

Counts

3 → 155

Calls

3 calls:

9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
4.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
2.0ms	(pow.f64 x (/.f64 1 n))

simplify259.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

580×	`cancel-sign-sub-inv_binary64`
422×	`fma-neg_binary64`
284×	`sub-neg_binary64`
202×	`fma-def_binary64`
194×	`+-commutative_binary64`

Counts

227 → 269

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9164
1	964	7582
2	3311	5432
3	4914	5432
4	4974	5432

prune675.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	261	8	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	8	270

Error

1.0b

Counts

270 → 8

Alt Table

Status	Error	Program
	31.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	28.7b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	28.4b	(*.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))))
	45.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (fma.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 2 n)))))
	23.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	36.2b	(+.f64 (fma.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (neg.f64 (.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n)) (.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n)))))
▶	22.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	43.1b	(-.f64 (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x n))))) (.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (*.f64 n (pow.f64 x 3)))))))

Compiler

Compiled 10126 to 6811 computations (32.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.1b	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

series746.0ms (4%)

Counts

3 → 68

Calls

3 calls:

658.0ms	(/.f64 (log1p.f64 x) n)
60.0ms	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
27.0ms	(exp.f64 (/.f64 (log1p.f64 x) n))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
21×	`prod-diff_binary64`
18×	`times-frac_binary64`

Counts

3 → 100

Calls

3 calls:

13.0ms	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
4.0ms	(exp.f64 (/.f64 (log1p.f64 x) n))
4.0ms	(/.f64 (log1p.f64 x) n)

simplify287.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

519×	`cancel-sign-sub-inv_binary64`
302×	`sub-neg_binary64`
272×	`fma-neg_binary64`
208×	`fma-def_binary64`
192×	`+-commutative_binary64`

Counts

168 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	6353
1	997	5157
2	3348	4228
3	4826	4228
4	4988	4228
5	4867	4228

prune558.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	244	3	247
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	248	7	255

Error

1.0b

Counts

255 → 7

Alt Table

Status	Error	Program
	31.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	28.7b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	30.7b	(+.f64 (fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n)) (.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n)))))
▶	23.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	43.1b	(-.f64 (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))) (.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (*.f64 n (pow.f64 x 3)))))))
	28.4b	(*.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))))
	45.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))

Compiler

Compiled 8066 to 4369 computations (45.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.1b	(/.f64 (log1p.f64 x) n)
✓	1.5b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	2.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

series181.0ms (1%)

Counts

1 → 24

Calls

1 calls:

181.0ms

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

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`log-prod_binary64`
29×	`exp-sum_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`prod-diff_binary64`
20×	`*-un-lft-identity_binary64`

Counts

1 → 51

Calls

1 calls:

18.0ms

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

simplify257.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-def_binary64`
351×	`cancel-sign-sub-inv_binary64`
240×	`fma-neg_binary64`
218×	`sub-neg_binary64`
182×	`neg-mul-1_binary64`

Counts

75 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	4069
1	787	3312
2	2606	2518
3	4374	2518
4	4902	2518
5	4977	2518
6	4561	2518

prune746.0ms (4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	304	1	305
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	305	7	312

Error

1.0b

Counts

312 → 7

Alt Table

Status	Error	Program
	43.1b	(fma.f64 -1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3))))) (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))))
▶	28.4b	(*.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))))
	31.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	28.7b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	30.7b	(+.f64 (fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n)) (.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n)))))
✓	23.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	45.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))

Compiler

Compiled 11629 to 6604 computations (43.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.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))))
✓	0.0b	(pow.f64 x (/.f64 1/2 n))
✓	1.5b	(pow.f64 (+.f64 1 x) (/.f64 1/2 n))
✓	1.8b	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))

series333.0ms (1.8%)

Counts

4 → 96

Calls

4 calls:

163.0ms	(*.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))))
73.0ms	(pow.f64 x (/.f64 1/2 n))
70.0ms	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))
26.0ms	(pow.f64 (+.f64 1 x) (/.f64 1/2 n))

rewrite193.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

200×	`unpow-prod-down_binary64`
187×	`*-un-lft-identity_binary64`
168×	`prod-diff_binary64`
146×	`add-sqr-sqrt_binary64`
120×	`add-cube-cbrt_binary64`

Counts

4 → 326

Calls

4 calls:

64.0ms	(*.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))))
18.0ms	(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))
8.0ms	(pow.f64 (+.f64 1 x) (/.f64 1/2 n))
5.0ms	(pow.f64 x (/.f64 1/2 n))

simplify900.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-def_binary64`
331×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`
291×	`associate-/r*_binary64`
192×	`times-frac_binary64`

Counts

422 → 490

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	723	24663
1	1914	20175
2	4731	20104
3	4979	20104
4	4972	20104

prune2.0s (10.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	597	2	599
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	600	6	606

Error

1.0b

Counts

606 → 6

Alt Table

Status	Error	Program
	43.1b	(fma.f64 -1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3))))) (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))))
✓	28.4b	(*.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))))
	29.0b	(.f64 (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n))) (-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/384 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/2 (/.f64 (log1p.f64 x) n) (.f64 1/48 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))))) (fma.f64 1/48 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 1/8 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/384 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 (sqrt.f64 x)) n))))))
✓	23.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	45.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
	28.7b	(.f64 (+.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n))))

Compiler

Compiled 34296 to 24060 computations (29.8% saved)

regimes1.5s (8.2%)

Accuracy

Total 8.1b remaining (93.6%)

Threshold costs 0b (0%)

Counts

94 → 3

Compiler

Compiled 14788 to 9853 computations (33.4% saved)

bsearch221.0ms (1.2%)

Steps

Iters	Range		Point
9	0.21240562402634633	540346.4300846381	137840.97768649113
10	-2763558574200377300.0	-4597.031406778905	-38195.04975221294

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	161
1	71	161
2	78	161
3	82	161
4	84	161
5	83	161

end378.0ms (2%)

Compiler: Compiled 501 to 320 computations (36.1% saved)

Details

analyze938.0ms (5%)

sample8.3s (44.2%)

simplify52.0ms (0.3%)

prune2.0ms (0%)

localize8.0ms (0%)

series87.0ms (0.5%)

rewrite32.0ms (0.2%)

simplify259.0ms (1.4%)

prune675.0ms (3.6%)

localize12.0ms (0.1%)

series746.0ms (4%)

rewrite34.0ms (0.2%)

simplify287.0ms (1.5%)

prune558.0ms (3%)

localize16.0ms (0.1%)

series181.0ms (1%)

rewrite32.0ms (0.2%)

simplify257.0ms (1.4%)

prune746.0ms (4%)

localize18.0ms (0.1%)

series333.0ms (1.8%)

rewrite193.0ms (1%)

simplify900.0ms (4.8%)

prune2.0s (10.7%)

regimes1.5s (8.2%)

bsearch221.0ms (1.2%)

simplify10.0ms (0.1%)

end378.0ms (2%)

Profiling