Details

analyze2.4s (12%)

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)

sample400.0ms (2%)

Algorithm

1×

intervals

Results

95.0ms	94×	body	1024	valid
76.0ms	43×	body	1024	nan
51.0ms	48×	body	2048	valid
47.0ms	35×	body	512	nan
35.0ms	89×	body	128	overflowed
21.0ms	39×	body	512	valid
11.0ms	61×	body	128	valid
9.0ms	9×	body	512	invalid
7.0ms	4×	body	1024	invalid
5.0ms	14×	body	256	valid
4.0ms	9×	body	256	nan
4.0ms	33×	body	128	nan
3.0ms	7×	body	256	invalid
2.0ms	9×	body	128	invalid
1.0ms	1×	body	2048	nan

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify97.0ms (0.5%)

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

prune15.0ms (0.1%)

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

35.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	35.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize14.0ms (0.1%)

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))
✓	1.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series993.0ms (5%)

Counts

3 → 72

Calls

3 calls:

910.0ms	(pow.f64 x (/.f64 1 n))
63.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
20.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

rewrite43.0ms (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:

13.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
5.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
4.0ms	(pow.f64 x (/.f64 1 n))

simplify249.0ms (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 → 269

Iterations

Useful iterations: 2 (0.0ms)

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

prune435.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	263	6	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	6	270

Error

0.4b

Counts

270 → 6

Alt Table

Status	Error	Program
	35.1b	(+.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)))))
	34.8b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	29.8b	(-.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 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.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 (log.f64 x) n)))))
	46.5b	(/.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))))
▶	21.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	37.2b	(-.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)))))))

Compiler

Compiled 10138 to 6851 computations (32.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 x)
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	5.1b	(-.f64 (log1p.f64 x) (log.f64 x))

series601.0ms (3%)

Counts

3 → 48

Calls

3 calls:

593.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
5.0ms	(log1p.f64 x)
3.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
6.0ms	(-.f64 (log1p.f64 x) (log.f64 x))
1.0ms	(log1p.f64 x)

simplify190.0ms (1%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-neg_binary64`
564×	`fma-def_binary64`
211×	`cancel-sign-sub-inv_binary64`
201×	`associate-/l*_binary64`
195×	`associate-/r*_binary64`

Counts

142 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	501	2080
2	1453	2016
3	4065	2011
4	4980	2011
5	4999	2011
6	4869	2011

prune235.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	146	10	156

Error

0.1b

Counts

156 → 10

Alt Table

Status	Error	Program
	35.1b	(+.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)))))
	34.8b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	40.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	37.2b	(-.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)))))))
	21.5b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	21.6b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	29.8b	(-.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 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.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 (log.f64 x) n)))))
	46.5b	(/.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))))
▶	21.5b	(/.f64 (-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
	21.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))

Compiler

Compiled 3195 to 1370 computations (57.1% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 (log1p.f64 x) (log1p.f64 x))
✓	0.5b	(*.f64 (log.f64 x) (log.f64 x))
✓	5.1b	(-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log.f64 x) (log.f64 x)))

series894.0ms (4.5%)

Counts

4 → 60

Calls

4 calls:

815.0ms	(*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))
52.0ms	(*.f64 (log.f64 x) (log.f64 x))
16.0ms	(-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log.f64 x) (log.f64 x)))
10.0ms	(*.f64 (log1p.f64 x) (log1p.f64 x))

rewrite49.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
12×	`associate-r_binary64`

Counts

4 → 114

Calls

4 calls:

14.0ms	(-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log.f64 x) (log.f64 x)))
9.0ms	(*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))
7.0ms	(*.f64 (log.f64 x) (log.f64 x))
5.0ms	(*.f64 (log1p.f64 x) (log1p.f64 x))

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

631×	`fma-neg_binary64`
577×	`cancel-sign-sub-inv_binary64`
417×	`times-frac_binary64`
299×	`sub-neg_binary64`
225×	`fma-def_binary64`

Counts

174 → 229

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	308	3093
1	855	2784
2	3000	2690
3	4998	2686
4	5294	2686

prune226.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	228	11	239

Error

0.1b

Counts

239 → 11

Alt Table

Status	Error	Program
	35.1b	(+.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)))))
	34.8b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	40.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	37.2b	(-.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)))))))
	21.5b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	21.6b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	29.8b	(-.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 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.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 (log.f64 x) n)))))
	46.5b	(/.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))))
✓	21.5b	(/.f64 (-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
▶	21.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	40.2b	(/.f64 (+.f64 (.f64 2 (/.f64 (log.f64 x) x)) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (log.f64 x) (.f64 x x)))) (.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))

Compiler

Compiled 7354 to 2592 computations (64.8% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 x)
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	5.1b	(-.f64 (log1p.f64 x) (log.f64 x))

series1.2s (5.8%)

Counts

2 → 48

Calls

2 calls:

644.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
506.0ms	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
126×	`*-un-lft-identity_binary64`
110×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
32×	`distribute-lft-out--_binary64`

Counts

2 → 165

Calls

2 calls:

17.0ms	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
9.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))

simplify266.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

395×	`times-frac_binary64`
339×	`associate-/l*_binary64`
331×	`fma-neg_binary64`
326×	`associate-/r*_binary64`
324×	`fma-def_binary64`

Counts

213 → 211

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	4642
1	488	4291
2	1445	4175
3	4353	4175
4	4992	4175

prune472.0ms (2.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	298	1	299
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	299	11	310

Error

0.1b

Counts

310 → 11

Alt Table

Status	Error	Program
	35.1b	(+.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)))))
	34.8b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	40.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	21.5b	(/.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log1p.f64 x) (log.f64 x)))
	21.6b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	29.8b	(-.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 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.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 (log.f64 x) n)))))
	46.5b	(/.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))))
✓	21.5b	(/.f64 (-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
	37.2b	(-.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)))))))
✓	21.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	40.2b	(/.f64 (+.f64 (.f64 2 (/.f64 (log.f64 x) x)) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (log.f64 x) (.f64 x x)))) (.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))

Compiler

Compiled 6198 to 2339 computations (62.3% saved)

regimes2.5s (12.7%)

Accuracy

Total 7.0b remaining (98.6%)

Threshold costs 0b (0%)

Counts

197 → 2

Compiler

Compiled 18904 to 11782 computations (37.7% saved)

bsearch102.0ms (0.5%)

Steps

Iters	Range		Point
9	2.363247619457859	16032557.824744858	2623.9070389239055

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	110
1	54	110
2	62	110
3	81	110
4	105	110
5	121	110
6	132	110
7	137	110
8	138	110
9	135	110

end3.0ms (0%)

Compiler: Compiled 74 to 55 computations (25.7% saved)

sample8.1s (41.2%)

Algorithm

1×

intervals

Results

1.9s	2714×	body	1024	valid
1.5s	1421×	body	1024	nan
1.2s	1718×	body	2048	valid
624.0ms	2486×	body	128	overflowed
548.0ms	1193×	body	512	valid
476.0ms	745×	body	512	nan
223.0ms	209×	body	1024	invalid
215.0ms	1741×	body	128	valid
178.0ms	634×	body	256	valid
155.0ms	230×	body	512	invalid
132.0ms	364×	body	256	nan
63.0ms	787×	body	128	nan
57.0ms	164×	body	256	invalid
42.0ms	243×	body	128	invalid
7.0ms	6×	body	2048	nan

Compiler

Compiled 529 to 352 computations (33.5% saved)

Iter	Nodes	Cost
0	40	110
1	54	110
2	62	110
3	81	110
4	105	110
5	121	110
6	132	110
7	137	110
8	138	110
9	135	110

Iter	Nodes	Cost
0	40	110
1	54	110
2	62	110
3	81	110
4	105	110
5	121	110
6	132	110
7	137	110
8	138	110
9	135	110

Details

analyze2.4s (12%)

sample400.0ms (2%)

simplify97.0ms (0.5%)

prune15.0ms (0.1%)

localize14.0ms (0.1%)

series993.0ms (5%)

rewrite43.0ms (0.2%)

simplify249.0ms (1.3%)

prune435.0ms (2.2%)

localize9.0ms (0%)

series601.0ms (3%)

rewrite32.0ms (0.2%)

simplify190.0ms (1%)

prune235.0ms (1.2%)

localize58.0ms (0.3%)

series894.0ms (4.5%)

rewrite49.0ms (0.2%)

simplify146.0ms (0.7%)

prune226.0ms (1.1%)

localize7.0ms (0%)

series1.2s (5.8%)

rewrite63.0ms (0.3%)

simplify266.0ms (1.3%)

prune472.0ms (2.4%)

regimes2.5s (12.7%)

bsearch102.0ms (0.5%)

simplify12.0ms (0.1%)

end3.0ms (0%)

sample8.1s (41.2%)

Profiling

Iter	Nodes	Cost
0	40	110
1	54	110
2	62	110
3	81	110
4	105	110
5	121	110
6	132	110
7	137	110
8	138	110
9	135	110