Details

analyze1.0s (1.5%)

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 14 to 12 computations (14.3% saved)

sample192.0ms (0.3%)

Algorithm

1×

intervals

Results

44.0ms	77×	body	1024	valid
34.0ms	60×	body	2048	valid
26.0ms	35×	body	1024	nan
18.0ms	42×	body	512	valid
14.0ms	78×	body	128	overflowed
11.0ms	24×	body	512	nan
7.0ms	8×	body	1024	invalid
6.0ms	27×	body	256	valid
4.0ms	50×	body	128	valid
3.0ms	6×	body	512	invalid
2.0ms	9×	body	256	nan
2.0ms	13×	body	128	invalid
2.0ms	26×	body	128	nan
1.0ms	4×	body	256	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify135.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	19

prune6.0ms (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

33.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

2.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

33.1b

Rules

15×	`add-sqr-sqrt_binary64_100`
13×	`unpow-prod-down_binary64_157`
10×	`*-un-lft-identity_binary64_78`
9×	`difference-of-squares_binary64_47`
7×	`sqr-pow_binary64_50` `cancel-sign-sub-inv_binary64_44`
3×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `distribute-lft-out--_binary64_30`
1×	`diff-log_binary64_170` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `distribute-lft-out_binary64_29`

Counts

1 → 30

Calls

1 calls:

10.0ms

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

Compiler

Compiled 807 to 588 computations (27.1% saved)

series306.0ms (0.4%)

Error

0.5b

Counts

1 → 18

Calls

1 calls:

257.0ms

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

Compiler

Compiled 1797 to 1379 computations (23.3% saved)

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4962	1879
1	4962	1879

prune80.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Error

0.4b

Counts

49 → 4

Compiler

Compiled 1603 to 1003 computations (37.4% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.9b	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))
5.6b	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))
8.2b	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
10.7b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))

rewrite1.6s (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

91×	`add-log-exp_binary64_117`
52×	`sum-log_binary64_169`
36×	`frac-add_binary64_86`
28×	`flip3-+_binary64_81` `flip-+_binary64_52`
24×	`frac-sub_binary64_87`
20×	`associate-*r/_binary64_20`
17×	`add-exp-log_binary64_116`
16×	`diff-log_binary64_170` `*-un-lft-identity_binary64_78`
11×	`add-sqr-sqrt_binary64_100`
9×	`add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `times-frac_binary64_84` `associate-/l*_binary64_23`
8×	`unpow-prod-down_binary64_157`
6×	`pow1_binary64_139` `associate-+r-_binary64_12` `div-exp_binary64_129`
4×	`cancel-sign-sub-inv_binary64_44` `log-div_binary64_165` `div-sub_binary64_83` `associate-+l-_binary64_13`
3×	`prod-exp_binary64_127`
2×	`distribute-lft-out_binary64_29` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16` `+-commutative_binary64_8` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `cbrt-undiv_binary64_112` `log-pow_binary64_167` `unpow2_binary64_143` `sqr-pow_binary64_50`
1×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+r+_binary64_10` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22`

Counts

4 → 124

Calls

4 calls:

61.0ms	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
16.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))
10.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
7.0ms	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))

Compiler

Compiled 20078 to 13160 computations (34.5% saved)

series2.8s (3.9%)

Error

0.3b

Counts

4 → 51

Calls

4 calls:

1.2s	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
669.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
521.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))
163.0ms	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))

Compiler

Compiled 10736 to 8052 computations (25% saved)

simplify193.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5568	22725

prune1.6s (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	169	6	175
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	169	10	179

Error

0.2b

Counts

179 → 10

Compiler

Compiled 22053 to 14526 computations (34.1% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.2b	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))
10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))

rewrite4.5s (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

249×	`add-log-exp_binary64_117`
147×	`sum-log_binary64_169`
48×	`diff-log_binary64_170`
28×	`flip3-+_binary64_81` `flip-+_binary64_52` `*-un-lft-identity_binary64_78`
24×	`frac-sub_binary64_87`
18×	`associate-+r-_binary64_12`
13×	`add-sqr-sqrt_binary64_100`
12×	`frac-add_binary64_86` `cancel-sign-sub-inv_binary64_44`
7×	`add-cube-cbrt_binary64_113`
6×	`distribute-lft-out_binary64_29` `distribute-lft-out--_binary64_30` `log-div_binary64_165` `div-sub_binary64_83` `associate--l-_binary64_16`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `associate--l+_binary64_15` `associate--r+_binary64_14`
1×	`associate-+r+_binary64_10` `+-commutative_binary64_8`

Counts

4 → 148

Calls

4 calls:

62.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
55.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
55.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
15.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))

Compiler

Compiled 44019 to 29557 computations (32.9% saved)

series6.2s (8.7%)

Error

0.2b

Counts

4 → 73

Calls

4 calls:

1.3s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
1.3s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
1.3s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
930.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))

Compiler

Compiled 35670 to 25558 computations (28.3% saved)

simplify288.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4922	33684
1	4922	33684

prune5.9s (8.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	221	10	231

Error

0.2b

Counts

231 → 10

Compiler

Compiled 58098 to 38758 computations (33.3% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
10.7b	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))

rewrite9.6s (13.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

324×	`add-log-exp_binary64_117`
192×	`sum-log_binary64_169`
64×	`diff-log_binary64_170`
36×	`flip3-+_binary64_81` `flip-+_binary64_52` `*-un-lft-identity_binary64_78`
32×	`frac-sub_binary64_87`
24×	`associate-+r-_binary64_12`
16×	`add-sqr-sqrt_binary64_100` `frac-add_binary64_86` `cancel-sign-sub-inv_binary64_44`
8×	`add-cube-cbrt_binary64_113` `distribute-lft-out_binary64_29` `distribute-lft-out--_binary64_30` `log-div_binary64_165` `div-sub_binary64_83` `associate--l-_binary64_16`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `associate--l+_binary64_15` `associate--r+_binary64_14`

Counts

4 → 180

Calls

4 calls:

67.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
63.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
60.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
55.0ms	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))

Compiler

Compiled 80980 to 54463 computations (32.7% saved)

series8.3s (11.6%)

Error

0.2b

Counts

4 → 84

Calls

4 calls:

1.4s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
1.4s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
1.4s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
1.4s	(-.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))

Compiler

Compiled 64772 to 45306 computations (30.1% saved)

simplify354.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4971	43328
1	4971	43328

prune13.5s (19%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	264	10	274

Error

0.2b

Counts

274 → 10

Compiler

Compiled 107588 to 71989 computations (33.1% saved)

regimes2.0s (2.8%)

Accuracy

Total 6.9b remaining (96.1%)

Threshold costs 0b (0%)

Compiler

Compiled 36384 to 25282 computations (30.5% saved)

bsearch52.0ms (0.1%)

Steps

Iters	Range		Point
7	1673605.6201772196	93377795.48113969	2816754.461675645

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	34
1	29	34

end0.0ms (0%)

sample12.1s (17%)

Algorithm

1×

intervals

Results

1.6s	2791×	body	1024	valid
1.1s	1399×	body	1024	nan
1.0s	1713×	body	2048	valid
477.0ms	2604×	body	128	overflowed
423.0ms	1162×	body	512	valid
345.0ms	753×	body	512	nan
167.0ms	1757×	body	128	valid
149.0ms	171×	body	1024	invalid
129.0ms	577×	body	256	valid
102.0ms	206×	body	512	invalid
82.0ms	342×	body	256	nan
46.0ms	749×	body	128	nan
46.0ms	171×	body	256	invalid
36.0ms	289×	body	128	invalid
7.0ms	7×	body	2048	nan
1.0ms	1×	body	2048	invalid

Compiler

Compiled 9046 to 6276 computations (30.6% saved)

Details

analyze1.0s (1.5%)

sample192.0ms (0.3%)

simplify135.0ms (0.2%)

prune6.0ms (0%)

localize7.0ms (0%)

rewrite57.0ms (0.1%)

series306.0ms (0.4%)

simplify62.0ms (0.1%)

prune80.0ms (0.1%)

localize39.0ms (0.1%)

rewrite1.6s (2.3%)

series2.8s (3.9%)

simplify193.0ms (0.3%)

prune1.6s (2.3%)

localize59.0ms (0.1%)

rewrite4.5s (6.3%)

series6.2s (8.7%)

simplify288.0ms (0.4%)

prune5.9s (8.3%)

localize73.0ms (0.1%)

rewrite9.6s (13.5%)

series8.3s (11.6%)

simplify354.0ms (0.5%)

prune13.5s (19%)

regimes2.0s (2.8%)

bsearch52.0ms (0.1%)

simplify2.0ms (0%)

end0.0ms (0%)

sample12.1s (17%)

Profiling