Details

analyze1.1s (5.9%)

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)

sample8.8s (48%)

Results

2.4s	2811×	body	1024	valid
2.0s	1712×	body	1024	invalid
1.6s	1791×	body	2048	valid
825.0ms	1272×	body	512	valid
784.0ms	1038×	body	512	invalid
345.0ms	1824×	body	128	valid
214.0ms	1183×	body	128	invalid
212.0ms	558×	body	256	valid
211.0ms	509×	body	256	invalid
12.0ms	7×	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

34.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	34.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

series35.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

35.0ms

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

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`unpow-prod-down_binary64`
58×	`*-un-lft-identity_binary64`
56×	`prod-diff_binary64`
47×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`

Counts

1 → 96

Calls

1 calls:

9.0ms

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

simplify217.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary64`
428×	`cancel-sign-sub-inv_binary64`
331×	`sub-neg_binary64`
201×	`sqr-pow_binary64`
199×	`neg-mul-1_binary64`

Counts

120 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	7264
1	816	5604
2	2852	3731
3	3955	3731
4	4834	3731
5	4751	3731

prune192.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	137	5	142
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	5	143

Error

0.5b

Counts

143 → 5

Alt Table

Status	Error	Program
	34.4b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
	26.5b	(-.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)))))
▶	16.9b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	34.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	39.1b	(-.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))))))

Compiler

Compiled 6568 to 4478 computations (31.8% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	3.6b	(-.f64 (log1p.f64 x) (log.f64 x))

series503.0ms (2.7%)

Counts

2 → 36

Calls

2 calls:

499.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
3.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
12×	`prod-diff_binary64`

Counts

2 → 83

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
4.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
399×	`fma-def_binary64`
386×	`associate-l_binary64`
296×	`associate-r_binary64`
171×	`associate-/l*_binary64`

Counts

119 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2225
1	426	1862
2	1217	1802
3	4071	1801
4	4962	1801
5	4971	1801
6	4934	1801

prune122.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	112	11	123

Error

0.1b

Counts

123 → 11

Alt Table

Status	Error	Program
	43.8b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (.f64 n n) n)))
▶	17.0b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	17.3b	(.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)))
	34.4b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
	41.3b	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) n)
	17.4b	(/.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))))
	26.5b	(-.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)))))
	17.0b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	34.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	39.1b	(-.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))))))
	17.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (log1p.f64 x) (log.f64 x)))) n)

Compiler

Compiled 2662 to 980 computations (63.2% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	3.6b	(-.f64 (log1p.f64 x) (log.f64 x))

series1.1s (5.9%)

Counts

2 → 48

Calls

2 calls:

569.0ms	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
520.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite31.0ms (0.2%)

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:

9.0ms	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
4.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))

simplify161.0ms (0.9%)

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

prune289.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	263	4	267
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	266	12	278

Error

0.1b

Counts

278 → 12

Alt Table

Status	Error	Program
▶	16.9b	(/.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log1p.f64 x) (log.f64 x)))
	34.4b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
	17.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
	17.0b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	41.3b	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) n)
	17.4b	(/.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))))
✓	17.0b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	26.5b	(-.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)))))
	17.2b	(.f64 (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (/.f64 1 (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))
	34.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	39.1b	(-.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))))))
	17.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (log1p.f64 x) (log.f64 x)))) n)

Compiler

Compiled 5999 to 2164 computations (63.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log1p.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 (log1p.f64 x) (log1p.f64 x))
✓	0.6b	(pow.f64 (log.f64 x) 2)
✓	3.6b	(-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2))

series1.1s (6.1%)

Counts

4 → 56

Calls

4 calls:

1.0s	(/.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log1p.f64 x) (log.f64 x)))
47.0ms	(pow.f64 (log.f64 x) 2)
13.0ms	(-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2))
5.0ms	(*.f64 (log1p.f64 x) (log1p.f64 x))

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

251×	`times-frac_binary64`
184×	`*-un-lft-identity_binary64`
146×	`add-sqr-sqrt_binary64`
106×	`add-cube-cbrt_binary64`
76×	`difference-of-squares_binary64`

Counts

4 → 259

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log1p.f64 x) (log.f64 x)))
7.0ms	(-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2))
3.0ms	(*.f64 (log1p.f64 x) (log1p.f64 x))
2.0ms	(pow.f64 (log.f64 x) 2)

simplify291.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-/r*_binary64`
323×	`fma-def_binary64`
311×	`associate-/l/_binary64`
188×	`associate-/l*_binary64`
186×	`associate-r_binary64`

Counts

315 → 397

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	667	12925
1	1691	11835
2	4811	11835
3	4956	11835

prune517.0ms (2.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	395	14	409

Error

0.1b

Counts

409 → 14

Alt Table

Status	Error	Program
✓	16.9b	(/.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (pow.f64 (log.f64 x) 2)) n) (+.f64 (log1p.f64 x) (log.f64 x)))
	34.4b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
	17.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
	17.0b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	40.6b	(/.f64 (/.f64 (/.f64 (*.f64 2 (log.f64 x)) x) n) (+.f64 (log1p.f64 x) (log.f64 x)))
	39.1b	(-.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))))))
✓	17.0b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	26.5b	(-.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)))))
	41.3b	(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) n)
	17.4b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
	17.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (/.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 n)) (+.f64 (log.f64 x) (log1p.f64 x))))
	17.2b	(.f64 (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (/.f64 1 (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))
	34.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	17.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (log1p.f64 x) (log.f64 x)))) n)

Compiler

Compiled 15120 to 6955 computations (54% saved)

regimes3.2s (17.6%)

Accuracy

Total 7.0b remaining (98.7%)

Threshold costs 0b (0%)

Counts

274 → 2

Compiler

Compiled 28926 to 16761 computations (42.1% saved)

bsearch75.0ms (0.4%)

Steps

Iters	Range		Point
7	6704377.705751148	1641552875.0919566	6834308.8393940255

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

end268.0ms (1.5%)

Compiler: Compiled 566 to 320 computations (43.5% saved)

Details

analyze1.1s (5.9%)

sample8.8s (48%)

simplify52.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0%)

series35.0ms (0.2%)

rewrite21.0ms (0.1%)

simplify217.0ms (1.2%)

prune192.0ms (1%)

localize6.0ms (0%)

series503.0ms (2.7%)

rewrite15.0ms (0.1%)

simplify134.0ms (0.7%)

prune122.0ms (0.7%)

localize7.0ms (0%)

series1.1s (5.9%)

rewrite31.0ms (0.2%)

simplify161.0ms (0.9%)

prune289.0ms (1.6%)

localize12.0ms (0.1%)

series1.1s (6.1%)

rewrite63.0ms (0.3%)

simplify291.0ms (1.6%)

prune517.0ms (2.8%)

regimes3.2s (17.6%)

bsearch75.0ms (0.4%)

simplify4.0ms (0%)

end268.0ms (1.5%)

Profiling