Details

analyze1.1s (6.9%)

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%	46.8%	25.1%	7
28.1%	43.7%	28.2%	8
29.7%	34.3%	36%	9
29.7%	31.6%	38.7%	10
31.1%	25.8%	43.1%	11
31.1%	24.6%	44.3%	12
31.5%	21.9%	46.6%	13
31.5%	21%	47.5%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.0s (54.9%)

Results

2.4s	2788×	body	1024	valid
2.2s	1763×	body	1024	invalid
1.6s	1771×	body	2048	valid
861.0ms	962×	body	512	invalid
783.0ms	1263×	body	512	valid
339.0ms	1785×	body	128	valid
238.0ms	649×	body	256	valid
205.0ms	497×	body	256	invalid
194.0ms	1084×	body	128	invalid
7.0ms	4×	body	2048	invalid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify50.0ms (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

36.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	36.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.1b	(pow.f64 x (/.f64 1 n))
✓	3.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series79.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

36.0ms	(pow.f64 x (/.f64 1 n))
29.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
14.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

rewrite100.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

675×	`prod-diff_binary64`
294×	`fma-def_binary64`
178×	`log-pow_binary64`
178×	`log1p-udef_binary64`
177×	`expm1-udef_binary64`

Counts

3 → 147

Calls

3 calls:

96.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
96.0ms	(pow.f64 x (/.f64 1 n))
96.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	32
2	2545	32
3	4885	32
4	5182	32
0	0	0
1	0	0

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
580×	`associate-/l*_binary64`
437×	`fma-neg_binary64`
379×	`cancel-sign-sub-inv_binary64`
229×	`sub-neg_binary64`

Counts

219 → 208

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2805
1	653	2796
2	2406	2288
3	4488	2288
4	4933	2288
5	4894	2288

prune302.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	201	7	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	7	209

Error

0.4b

Counts

209 → 7

Alt Table

Status	Error	Program
	35.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	37.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	45.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	29.1b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	29.0b	(-.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)))))
▶	21.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Compiler

Compiled 7152 to 4150 computations (42% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	4.4b	(-.f64 (log1p.f64 x) (log.f64 x))

series426.0ms (2.6%)

Counts

2 → 36

Calls

2 calls:

423.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
3.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite97.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
883×	`log1p-expm1-u_binary64`
576×	`prod-diff_binary64`
230×	`egg-rr`
80×	`add-sqr-sqrt_binary64`

Counts

2 → 230

Calls

2 calls:

88.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
88.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	153	19
2	2159	19
3	6543	19
0	0	0
1	0	0

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

568×	`distribute-neg-frac_binary64`
448×	`associate-/r*_binary64`
434×	`fma-def_binary64`
403×	`sub-neg_binary64`
243×	`cancel-sign-sub-inv_binary64`

Counts

266 → 261

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	598
1	191	590
2	488	590
3	1252	563
4	4042	563
5	5128	563

prune389.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	253	8	261
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	254	14	268

Error

0.2b

Counts

268 → 14

Alt Table

Status	Error	Program
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	21.6b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	35.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (.f64 n n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	21.5b	(+.f64 (fma.f64 (log1p.f64 x) (/.f64 1 n) (neg.f64 (.f64 (/.f64 1 n) (log.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (.f64 (/.f64 1 n) (log.f64 x))))
	29.0b	(-.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)))))
	21.8b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	35.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	37.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	52.0b	(+.f64 (fma.f64 (log1p.f64 x) (/.f64 1 n) (neg.f64 (/.f64 (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)))
	45.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	40.5b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	29.1b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	62.3b	(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (/.f64 (log.f64 x) n))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n))) (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (log.f64 x) n)))
▶	21.5b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)

Compiler

Compiled 9658 to 2808 computations (70.9% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
	4.4b	(-.f64 (log1p.f64 x) (log.f64 x))

series838.0ms (5.1%)

Counts

2 → 48

Calls

2 calls:

426.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
412.0ms	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)

rewrite53.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
412×	`prod-diff_binary64`
182×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Counts

2 → 87

Calls

2 calls:

51.0ms	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
51.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	192	22
2	2412	22
3	4964	22
0	0	0
1	0	0

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

351×	`sub-neg_binary64`
235×	`fma-def_binary64`
234×	`times-frac_binary64`
211×	`associate-/r*_binary64`
211×	`distribute-neg-frac_binary64`

Counts

135 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	848
1	252	838
2	745	802
3	2941	752
4	4944	752
5	5080	752

prune177.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	183	13	196

Error

0.2b

Counts

196 → 13

Alt Table

Status	Error	Program
▶	21.5b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)
	35.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	21.5b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))))
	21.6b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	37.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	21.6b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
	45.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	40.5b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	29.1b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	29.0b	(-.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)))))
	62.3b	(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (/.f64 (log.f64 x) n))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n))) (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (log.f64 x) n)))
✓	21.5b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)

Compiler

Compiled 3798 to 1695 computations (55.4% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)
	4.4b	(-.f64 (log1p.f64 x) (log.f64 x))

series435.0ms (2.6%)

Counts

1 → 24

Calls

1 calls:

434.0ms

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

rewrite50.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

892×	`expm1-log1p-u_binary64`
891×	`log1p-expm1-u_binary64`
412×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

1 → 39

Calls

1 calls:

49.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	178	11
2	2255	11
3	6259	11
0	0	0
1	0	0

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1037×	`fma-neg_binary64`
506×	`distribute-neg-frac_binary64`
383×	`associate-/r*_binary64`
218×	`sub-neg_binary64`
213×	`fma-def_binary64`

Counts

63 → 56

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	408
1	137	406
2	330	406
3	839	382
4	2956	378
5	4737	378
6	4993	378

prune100.0ms (0.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	120	13	133

Error

0.2b

Counts

133 → 13

Alt Table

Status	Error	Program
	21.6b	(/.f64 (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) n)
✓	21.5b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)
	35.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	21.5b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))))
	37.6b	(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))))))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 4)) (-.f64 (/.f64 11/24 (.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n (.f64 n (pow.f64 x 3)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))))
	21.6b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
	45.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	40.5b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n)
	29.1b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	29.0b	(-.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)))))
	62.3b	(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (/.f64 (log.f64 x) n))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n))) (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (log.f64 x) n)))
✓	21.5b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)

Compiler

Compiled 2287 to 1042 computations (54.4% saved)

regimes2.5s (15.5%)

Accuracy

Total 7.0b remaining (98.1%)

Threshold costs 0b (0%)

Counts

203 → 2

Compiler

Compiled 20312 to 12492 computations (38.5% saved)

bsearch56.0ms (0.3%)

Steps

Iters	Range		Point
5	746.2192241455423	2501.9855297480117	2445.530707354795

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-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	30	88
1	33	88
2	38	88
3	40	88
4	41	88
5	41	88

end252.0ms (1.5%)

Compiler: Compiled 524 to 297 computations (43.3% saved)

Details

analyze1.1s (6.9%)

sample9.0s (54.9%)

simplify50.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0%)

series79.0ms (0.5%)

rewrite100.0ms (0.6%)

simplify118.0ms (0.7%)

prune302.0ms (1.8%)

localize6.0ms (0%)

series426.0ms (2.6%)

rewrite97.0ms (0.6%)

simplify59.0ms (0.4%)

prune389.0ms (2.4%)

localize7.0ms (0%)

series838.0ms (5.1%)

rewrite53.0ms (0.3%)

simplify68.0ms (0.4%)

prune177.0ms (1.1%)

localize7.0ms (0%)

series435.0ms (2.6%)

rewrite50.0ms (0.3%)

simplify54.0ms (0.3%)

prune100.0ms (0.6%)

regimes2.5s (15.5%)

bsearch56.0ms (0.3%)

simplify4.0ms (0%)

end252.0ms (1.5%)

Profiling