Details

analyze1.7s (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
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)

sample392.0ms (1.2%)

Algorithm

1×

intervals

Results

123.0ms	103×	body	1024	valid
64.0ms	53×	body	2048	valid
54.0ms	32×	body	1024	nan
34.0ms	60×	body	128	overflowed
29.0ms	27×	body	512	nan
20.0ms	26×	body	512	valid
14.0ms	68×	body	128	valid
7.0ms	12×	body	256	nan
5.0ms	5×	body	512	invalid
5.0ms	3×	body	1024	invalid
4.0ms	28×	body	128	nan
3.0ms	6×	body	256	valid
3.0ms	10×	body	128	invalid
2.0ms	4×	body	256	invalid

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify105.0ms (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

prune10.0ms (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

30.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	30.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	1.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite62.0ms (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:

18.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
9.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
5.0ms	(pow.f64 x (/.f64 1 n))

series549.0ms (1.6%)

Counts

3 → 72

Calls

3 calls:

448.0ms	(pow.f64 x (/.f64 1 n))
72.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
29.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

simplify439.0ms (1.3%)

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 → 422

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9108
1	964	7526
2	3311	5432
3	4914	5432
4	4974	5432

prune650.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	416	6	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	417	6	423

Error

0.5b

Counts

423 → 6

Alt Table

Status	Error	Program
	24.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))
▶	17.8b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
	30.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	30.9b	(*.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))))
	36.9b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.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))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	44.7b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))

Compiler

Compiled 10011 to 6776 computations (32.3% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	2.4b	(log.f64 (+.f64 1 x))
✓	3.2b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite47.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
34×	`pow1_binary64`
31×	`log-pow_binary64`
29×	`add-cube-cbrt_binary64`

Counts

3 → 121

Calls

3 calls:

15.0ms	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
14.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
4.0ms	(log.f64 (+.f64 1 x))

series1.4s (4.2%)

Counts

3 → 40

Calls

3 calls:

1.4s	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
8.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
5.0ms	(log.f64 (+.f64 1 x))

simplify207.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
526×	`fma-neg_binary64`
294×	`div-sub_binary64`
232×	`associate-/r*_binary64`
228×	`cancel-sign-sub-inv_binary64`

Counts

161 → 303

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	2600
1	546	2358
2	1572	2246
3	4112	2243
4	5002	2243

prune401.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	297	6	303
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	298	11	309

Error

0.0b

Counts

309 → 11

Alt Table

Status	Error	Program
	17.9b	(/.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	24.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))
	17.8b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	18.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
▶	17.8b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
	30.9b	(*.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))))
	30.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	18.0b	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
	36.9b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.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))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	44.7b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))
	40.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)

Compiler

Compiled 4135 to 2207 computations (46.6% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
	2.4b	(log.f64 (+.f64 1 x))
	3.2b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
11×	`times-frac_binary64`
10×	`add-exp-log_binary64`

Counts

1 → 47

Calls

1 calls:

19.0ms

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

series1.5s (4.6%)

Counts

1 → 24

Calls

1 calls:

1.5s	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
436×	`times-frac_binary64`
422×	`fma-neg_binary64`
209×	`distribute-rgt-neg-out_binary64`
208×	`associate-l_binary64`

Counts

71 → 137

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	1200
1	302	1108
2	838	1108
3	2198	1108
4	4900	1108
5	5110	1108

prune424.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	307	12	319

Error

0.0b

Counts

319 → 12

Alt Table

Status	Error	Program
▶	17.8b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	18.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	30.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	18.0b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
✓	17.8b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
	30.9b	(*.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))))
	40.3b	(.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) (/.f64 1 n))
	40.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	17.8b	(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) (/.f64 1 n))
	24.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))
	36.9b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.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))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	44.7b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))

Compiler

Compiled 4514 to 2638 computations (41.6% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	3.2b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	3.2b	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite71.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64`
76×	`*-un-lft-identity_binary64`
58×	`times-frac_binary64`
53×	`sqrt-prod_binary64`
49×	`add-cube-cbrt_binary64`

Counts

3 → 160

Calls

3 calls:

30.0ms	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
10.0ms	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)
8.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

series3.0s (8.8%)

Counts

3 → 52

Calls

3 calls:

1.5s	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)
1.4s	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
11.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

simplify435.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

782×	`times-frac_binary64`
471×	`fma-def_binary64`
456×	`fma-neg_binary64`
231×	`cancel-sign-sub-inv_binary64`
149×	`associate-l_binary64`

Counts

212 → 370

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	4907
1	632	4209
2	2086	4056
3	4332	4053
4	4892	4053
5	4999	4053
6	4902	4053

prune547.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	457	12	469

Error

0.0b

Counts

469 → 12

Alt Table

Status	Error	Program
✓	17.8b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	18.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	30.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	18.0b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
✓	17.8b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
	30.9b	(*.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))))
	40.3b	(.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) (/.f64 1 n))
	40.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	17.8b	(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) (/.f64 1 n))
	24.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))
	36.9b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.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))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	44.7b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))

Compiler

Compiled 7224 to 1678 computations (76.8% saved)

regimes6.2s (18.5%)

Accuracy

Total 7.1b remaining (98.2%)

Threshold costs 0b (0%)

Compiler

Compiled 21506 to 14330 computations (33.4% saved)

bsearch97.0ms (0.3%)

Steps

Iters	Range		Point
7	0.15717658280465432	7.493046576581875	7.4052989362426835

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	25	37
2	29	37
3	31	37
4	32	37
5	31	37

end9.0ms (0%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

sample15.2s (45%)

Algorithm

1×

intervals

Results

3.3s	2702×	body	1024	valid
2.9s	1431×	body	1024	nan
2.2s	1702×	body	2048	valid
1.5s	2550×	body	128	overflowed
992.0ms	1257×	body	512	valid
795.0ms	726×	body	512	nan
418.0ms	1786×	body	128	valid
336.0ms	178×	body	1024	invalid
319.0ms	243×	body	512	invalid
263.0ms	553×	body	256	valid
230.0ms	337×	body	256	nan
116.0ms	777×	body	128	nan
92.0ms	151×	body	256	invalid
76.0ms	266×	body	128	invalid
24.0ms	8×	body	2048	nan

Compiler

Compiled 416 to 273 computations (34.4% saved)

Details

analyze1.7s (5%)

sample392.0ms (1.2%)

simplify105.0ms (0.3%)

prune10.0ms (0%)

localize12.0ms (0%)

rewrite62.0ms (0.2%)

series549.0ms (1.6%)

simplify439.0ms (1.3%)

prune650.0ms (1.9%)

localize15.0ms (0%)

rewrite47.0ms (0.1%)

series1.4s (4.2%)

simplify207.0ms (0.6%)

prune401.0ms (1.2%)

localize19.0ms (0.1%)

rewrite26.0ms (0.1%)

series1.5s (4.6%)

simplify152.0ms (0.5%)

prune424.0ms (1.3%)

localize16.0ms (0%)

rewrite71.0ms (0.2%)

series3.0s (8.8%)

simplify435.0ms (1.3%)

prune547.0ms (1.6%)

regimes6.2s (18.5%)

bsearch97.0ms (0.3%)

simplify8.0ms (0%)

end9.0ms (0%)

sample15.2s (45%)

Profiling