Details

analyze1.2s (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5242	38
0	2	2
1	2	2

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)

sample206.0ms (0.5%)

Algorithm

1×

intervals

Results

42.0ms	81×	body	1024	valid
38.0ms	47×	body	1024	nan
35.0ms	62×	body	2048	valid
16.0ms	43×	body	512	valid
14.0ms	75×	body	128	overflowed
10.0ms	11×	body	1024	invalid
9.0ms	21×	body	512	nan
7.0ms	28×	body	256	valid
4.0ms	42×	body	128	valid
2.0ms	8×	body	256	invalid
2.0ms	8×	body	256	nan
2.0ms	4×	body	512	invalid
1.0ms	20×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	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

33.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
2.9b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite91.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

33.8b

Rules

24×	`add-sqr-sqrt_binary64_100`
19×	`*-un-lft-identity_binary64_78`
16×	`unpow-prod-down_binary64_157`
13×	`pow-unpow_binary64_155`
12×	`add-cube-cbrt_binary64_113`
9×	`difference-of-squares_binary64_47` `times-frac_binary64_84`
8×	`sqr-pow_binary64_50`
7×	`cancel-sign-sub-inv_binary64_44`
4×	`add-log-exp_binary64_117`
3×	`pow1_binary64_139` `add-exp-log_binary64_116` `distribute-lft-out--_binary64_30`
2×	`add-cbrt-cube_binary64_114`
1×	`diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `distribute-lft-out_binary64_29` `div-inv_binary64_75` `pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146`

Counts

2 → 57

Calls

2 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 1342 to 963 computations (28.2% saved)

series443.0ms (1%)

Error

1.4b

Counts

2 → 30

Calls

2 calls:

271.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
113.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 2316 to 1772 computations (23.5% saved)

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	2319
1	4955	2319

prune128.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	7	88

Error

1.0b

Counts

88 → 7

Compiler

Compiled 2464 to 1657 computations (32.8% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(log.f64 (+.f64 1 x))
3.4b	(+.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))))
5.4b	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
7.8b	(-.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))))))

rewrite1.4s (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

91×	`add-log-exp_binary64_117`
52×	`sum-log_binary64_169`
36×	`frac-add_binary64_86`
29×	`flip3-+_binary64_81` `flip-+_binary64_52`
24×	`frac-sub_binary64_87`
20×	`associate-*r/_binary64_20`
16×	`diff-log_binary64_170`
15×	`*-un-lft-identity_binary64_78`
8×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `log-div_binary64_165` `associate-+r-_binary64_12`
5×	`pow1_binary64_139` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `cancel-sign-sub-inv_binary64_44` `div-sub_binary64_83` `associate-+l-_binary64_13` `log-prod_binary64_164`
3×	`distribute-lft-out_binary64_29`
2×	`distribute-lft-out--_binary64_30` `associate--l-_binary64_16` `+-commutative_binary64_8`
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` `log-pow_binary64_167` `rem-log-exp_binary64_119`

Counts

4 → 102

Calls

4 calls:

56.0ms	(-.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))))))
15.0ms	(+.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))))
15.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 18230 to 11939 computations (34.5% saved)

series2.9s (6.7%)

Error

0.5b

Counts

4 → 50

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))))))
827.0ms	(+.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))))
656.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
32.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 10326 to 7721 computations (25.2% saved)

simplify192.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5244	22262

prune1.6s (3.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	145	7	152
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	146	13	159

Error

0.4b

Counts

159 → 13

Compiler

Compiled 20769 to 13712 computations (34% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.4b	(+.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))))
7.8b	(-.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))))))
7.8b	(-.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))))))
7.8b	(-.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 (10.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

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:

65.0ms	(-.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))))))
59.0ms	(-.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 (14.3%)

Error

0.4b

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))))))
968.0ms	(+.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 (0.7%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4922	33684
1	4922	33684

prune6.2s (14.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	221	13	234

Error

0.4b

Counts

234 → 13

Compiler

Compiled 58309 to 38944 computations (33.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(log.f64 (+.f64 1 x))
2.8b	(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3)))
2.9b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
4.8b	(-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))

rewrite369.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

16×	`*-un-lft-identity_binary64_78`
15×	`add-log-exp_binary64_117`
11×	`log-prod_binary64_164`
10×	`pow1_binary64_139` `add-sqr-sqrt_binary64_100`
9×	`associate-*r/_binary64_20`
8×	`add-cube-cbrt_binary64_113`
7×	`cube-div_binary64_107`
6×	`log-pow_binary64_167`
5×	`add-exp-log_binary64_116` `frac-add_binary64_86` `frac-sub_binary64_87` `flip3-+_binary64_81` `flip-+_binary64_52` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15`
4×	`sum-log_binary64_169` `diff-log_binary64_170` `add-cbrt-cube_binary64_114` `distribute-lft-out--_binary64_30` `log-div_binary64_165`
3×	`associate--l-_binary64_16` `associate--r+_binary64_14`
2×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `distribute-lft-out_binary64_29`
1×	`div-sub_binary64_83` `associate-+r-_binary64_12` `difference-of-squares_binary64_47` `+-commutative_binary64_8` `rem-log-exp_binary64_119`

Counts

4 → 77

Calls

4 calls:

26.0ms	(-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))
11.0ms	(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3)))
8.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 5809 to 3886 computations (33.1% saved)

series1.8s (4%)

Error

0.4b

Counts

4 → 51

Calls

4 calls:

1.0s	(-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))
488.0ms	(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3)))
73.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
45.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 6886 to 5102 computations (25.9% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5064	5494

prune468.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	3	8	11
Picked	1	0	1
Done	1	0	1
Total	128	13	141

Error

0.4b

Counts

141 → 13

Compiler

Compiled 8222 to 5283 computations (35.7% saved)

regimes2.4s (5.5%)

Accuracy

Total 6.7b remaining (96.4%)

Threshold costs 0b (0%)

Compiler

Compiled 38052 to 27099 computations (28.8% saved)

bsearch63.0ms (0.1%)

Steps

Iters	Range		Point
8	1.6563850362643389	25893.71121293487	12450.253602197494

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	99
1	75	99

end0.0ms (0%)

sample12.8s (29.2%)

Algorithm

1×

intervals

Results

1.6s	2725×	body	1024	valid
1.2s	1484×	body	1024	nan
1.0s	1755×	body	2048	valid
496.0ms	2646×	body	128	overflowed
450.0ms	1204×	body	512	valid
369.0ms	774×	body	512	nan
161.0ms	177×	body	1024	invalid
161.0ms	1724×	body	128	valid
138.0ms	592×	body	256	valid
113.0ms	231×	body	512	invalid
75.0ms	324×	body	256	nan
52.0ms	826×	body	128	nan
44.0ms	160×	body	256	invalid
38.0ms	263×	body	128	invalid
4.0ms	4×	body	2048	nan

Compiler

Compiled 9492 to 6751 computations (28.9% saved)

Details

analyze1.2s (2.8%)

sample206.0ms (0.5%)

simplify49.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0%)

rewrite91.0ms (0.2%)

series443.0ms (1%)

simplify92.0ms (0.2%)

prune128.0ms (0.3%)

localize44.0ms (0.1%)

rewrite1.4s (3.2%)

series2.9s (6.7%)

simplify192.0ms (0.4%)

prune1.6s (3.8%)

localize53.0ms (0.1%)

rewrite4.5s (10.4%)

series6.2s (14.3%)

simplify288.0ms (0.7%)

prune6.2s (14.2%)

localize33.0ms (0.1%)

rewrite369.0ms (0.8%)

series1.8s (4%)

simplify86.0ms (0.2%)

prune468.0ms (1.1%)

regimes2.4s (5.5%)

bsearch63.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample12.8s (29.2%)

Profiling