Details

analyze962.0ms (3.3%)

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)

sample15.6s (52.9%)

Results

4.2s	1715×	body	1024	invalid
4.0s	2786×	body	1024	valid
3.0s	1814×	body	2048	valid
1.2s	1228×	body	512	valid
1.2s	940×	body	512	invalid
604.0ms	1821×	body	128	valid
425.0ms	607×	body	256	valid
399.0ms	571×	body	256	invalid
384.0ms	1152×	body	128	invalid
19.0ms	8×	body	2048	invalid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify75.0ms (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

prune4.0ms (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

34.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	34.6b	(-.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 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	2.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series128.0ms (0.4%)

Counts

2 → 48

Calls

2 calls:

68.0ms	(pow.f64 x (/.f64 1 n))
59.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite137.0ms (0.5%)

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

2 → 128

Calls

2 calls:

128.0ms	(pow.f64 x (/.f64 1 n))
128.0ms	(-.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	26
1	207	24
2	2545	24
3	4885	24
4	5182	24
0	0	0
1	0	0

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
580×	`associate-/l*_binary64`
432×	`fma-neg_binary64`
299×	`cancel-sign-sub-inv_binary64`
241×	`sub-neg_binary64`

Counts

176 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1940
1	578	1934
2	2138	1607
3	4113	1607
4	4966	1607
5	4977	1607

prune318.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	4	167

Error

0.8b

Counts

167 → 4

Alt Table

Status	Error	Program
▶	18.8b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	34.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	35.8b	(-.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))))))
	25.9b	(-.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)))))

Compiler

Compiled 5773 to 3316 computations (42.6% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

series812.0ms (2.8%)

Counts

2 → 36

Calls

2 calls:

807.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
5.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite211.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

2 → 228

Calls

2 calls:

175.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
175.0ms	(-.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

simplify92.0ms (0.3%)

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

264 → 260

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

prune463.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	251	9	260
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	252	12	264

Error

0.0b

Counts

264 → 12

Alt Table

Status	Error	Program
	35.8b	(-.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))))))
	19.0b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	35.7b	(.f64 (/.f64 1 (cbrt.f64 (.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	51.5b	(+.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)))
	41.3b	(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) n)
	25.9b	(-.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)))))
	18.9b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
▶	18.8b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	19.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	34.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	36.0b	(/.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) n)
	46.1b	(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))

Compiler

Compiled 9457 to 2714 computations (71.3% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	2.1b	(-.f64 (log1p.f64 x) (log.f64 x))

series1.2s (4.1%)

Counts

1 → 24

Calls

1 calls:

1.2s	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))

rewrite92.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

895×	`expm1-log1p-u_binary64`
894×	`log1p-expm1-u_binary64`
403×	`prod-diff_binary64`
92×	`add-sqr-sqrt_binary64`
85×	`add-log-exp_binary64`

Counts

1 → 41

Calls

1 calls:

90.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	186	11
2	2267	11
3	6241	11
0	0	0
1	0	0

simplify77.0ms (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

65 → 58

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

prune249.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	123	10	133

Error

0.0b

Counts

133 → 10

Alt Table

Status	Error	Program
	18.9b	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 1 n))
	19.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	35.8b	(-.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))))))
	36.0b	(.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 n))
▶	18.9b	(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n))
	36.0b	(/.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) n)
	41.3b	(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) n)
	25.9b	(-.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)))))
	34.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	18.9b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))

Compiler

Compiled 2638 to 1307 computations (50.5% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))
✓	0.4b	(pow.f64 (log1p.f64 x) 2)
✓	0.6b	(pow.f64 (log.f64 x) 2)
✓	2.0b	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))

series136.0ms (0.5%)

Counts

4 → 44

Calls

4 calls:

64.0ms	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))
46.0ms	(pow.f64 (log.f64 x) 2)
15.0ms	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
9.0ms	(pow.f64 (log1p.f64 x) 2)

rewrite166.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
446×	`fma-def_binary64`
288×	`egg-rr`
235×	`fma-neg_binary64`
194×	`expm1-udef_binary64`

Counts

4 → 288

Calls

4 calls:

152.0ms	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))
152.0ms	(pow.f64 (log1p.f64 x) 2)
152.0ms	(pow.f64 (log.f64 x) 2)
151.0ms	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	227	34
2	2923	34
3	5726	34
0	0	0
1	0	0

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

534×	`cancel-sign-sub-inv_binary64`
358×	`sub-neg_binary64`
294×	`associate-+r+_binary64`
250×	`+-commutative_binary64`
250×	`fma-def_binary64`

Counts

332 → 358

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2659
1	862	2586
2	3392	2303
3	5104	2303

prune742.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	358	10	368

Error

0.0b

Counts

368 → 10

Alt Table

Status	Error	Program
	18.9b	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 1 n))
	19.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	35.8b	(-.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))))))
	36.0b	(.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 n))
✓	18.9b	(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n))
	36.0b	(/.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) n)
	41.3b	(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) n)
	25.9b	(-.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)))))
	34.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	18.9b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))

Compiler

Compiled 12371 to 6849 computations (44.6% saved)

regimes7.0s (23.9%)

Accuracy

Total 6.6b remaining (98.4%)

Threshold costs 0b (0%)

Counts

258 → 2

Compiler

Compiled 28019 to 18329 computations (34.6% saved)

bsearch153.0ms (0.5%)

Steps

Iters	Range		Point
9	5237516.402613403	562774925921682.6	5785369.857127081

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify6.0ms (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

end441.0ms (1.5%)

Compiler: Compiled 455 to 263 computations (42.2% saved)

Details

analyze962.0ms (3.3%)

sample15.6s (52.9%)

simplify75.0ms (0.3%)

prune4.0ms (0%)

localize12.0ms (0%)

series128.0ms (0.4%)

rewrite137.0ms (0.5%)

simplify147.0ms (0.5%)

prune318.0ms (1.1%)

localize11.0ms (0%)

series812.0ms (2.8%)

rewrite211.0ms (0.7%)

simplify92.0ms (0.3%)

prune463.0ms (1.6%)

localize13.0ms (0%)

series1.2s (4.1%)

rewrite92.0ms (0.3%)

simplify77.0ms (0.3%)

prune249.0ms (0.8%)

localize23.0ms (0.1%)

series136.0ms (0.5%)

rewrite166.0ms (0.6%)

simplify136.0ms (0.5%)

prune742.0ms (2.5%)

regimes7.0s (23.9%)

bsearch153.0ms (0.5%)

simplify6.0ms (0%)

end441.0ms (1.5%)

Profiling