Details

analyze93.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample47.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	65×	body	1024	valid
11.0ms	126×	body	128	valid
5.0ms	36×	body	512	valid
5.0ms	12×	body	2048	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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

31.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.5b	(log.f64 (+.f64 N 1))

rewrite58.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

14×	`*-un-lft-identity_binary64_78`
11×	`log-prod_binary64_164`
8×	`pow1_binary64_139` `add-sqr-sqrt_binary64_100`
6×	`log-pow_binary64_167` `add-cube-cbrt_binary64_113`
4×	`log-div_binary64_165` `cancel-sign-sub-inv_binary64_44` `distribute-lft-out--_binary64_30` `associate--l+_binary64_15`
3×	`add-exp-log_binary64_116` `associate--r+_binary64_14`
2×	`flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `associate--l-_binary64_16`
1×	`rem-log-exp_binary64_119` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47`

Counts

2 → 44

Calls

2 calls:

7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

Compiler

Compiled 607 to 404 computations (33.4% saved)

series102.0ms (2.8%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

52.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
29.0ms	(log.f64 (+.f64 N 1))

Compiler

Compiled 578 to 465 computations (19.6% saved)

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4924	853
1	4924	853

prune52.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Error

0.1b

Counts

66 → 3

Compiler

Compiled 804 to 506 computations (37.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
0.4b	(/.f64 1/2 (*.f64 N N))

rewrite58.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_100`
13×	`times-frac_binary64_84`
11×	`*-un-lft-identity_binary64_78`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `cancel-sign-sub-inv_binary64_44`
6×	`add-cube-cbrt_binary64_113` `difference-of-squares_binary64_47`
4×	`add-log-exp_binary64_117`
3×	`div-inv_binary64_75` `associate-/l*_binary64_23`
2×	`pow1_binary64_139` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `distribute-lft-out--_binary64_30`
1×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/r*_binary64_22` `diff-log_binary64_170` `frac-sub_binary64_87` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53`

Counts

2 → 48

Calls

2 calls:

12.0ms	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
4.0ms	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 796 to 514 computations (35.4% saved)

series69.0ms (1.9%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

38.0ms	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
25.0ms	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 202 to 176 computations (12.9% saved)

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4864	753
1	4864	753

prune42.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Error

0.0b

Counts

60 → 4

Compiler

Compiled 760 to 497 computations (34.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
1.8b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite65.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`*-un-lft-identity_binary64_78`
24×	`times-frac_binary64_84`
19×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
16×	`log-prod_binary64_164`
7×	`distribute-lft-out_binary64_29` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23`
3×	`pow1_binary64_139` `associate-/r*_binary64_22`
2×	`div-inv_binary64_75` `div-exp_binary64_129` `rem-log-exp_binary64_119` `add-log-exp_binary64_117` `associate-/l/_binary64_25`
1×	`log-pow_binary64_167` `log-div_binary64_165` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

2 → 60

Calls

2 calls:

6.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 810 to 553 computations (31.7% saved)

series98.0ms (2.7%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

48.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
38.0ms	(/.f64 (+.f64 N 1) N)

Compiler

Compiled 378 to 326 computations (13.8% saved)

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5330	1074

prune59.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	78	4	82

Error

0.0b

Counts

82 → 4

Compiler

Compiled 909 to 641 computations (29.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
0.0b	(log.f64 (sqrt.f64 N))
0.4b	(/.f64 (+.f64 N 1) (sqrt.f64 N))
2.2b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))

rewrite192.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

100×	`*-un-lft-identity_binary64_78`
72×	`times-frac_binary64_84`
68×	`log-prod_binary64_164`
55×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
45×	`sqrt-prod_binary64_94`
28×	`associate-+r+_binary64_10`
25×	`distribute-lft-out_binary64_29`
12×	`pow1_binary64_139`
10×	`add-exp-log_binary64_116`
9×	`log-pow_binary64_167`
6×	`add-cbrt-cube_binary64_114` `distribute-neg-in_binary64_39` `associate-+l+_binary64_11` `associate-/r*_binary64_22`
5×	`add-log-exp_binary64_117`
4×	`distribute-rgt-neg-in_binary64_36` `associate-/l*_binary64_23`
3×	`div-inv_binary64_75` `rem-log-exp_binary64_119`
2×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `log-div_binary64_165` `div-exp_binary64_129` `associate-/l/_binary64_25`
1×	`neg-log_binary64_171` `neg-sub0_binary64_73` `associate-+l-_binary64_13` `associate-+r-_binary64_12` `+-commutative_binary64_8` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow1/2_binary64_158` `sqrt-pow1_binary64_96`

Counts

4 → 158

Calls

4 calls:

15.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
6.0ms	(/.f64 (+.f64 N 1) (sqrt.f64 N))
6.0ms	(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
2.0ms	(log.f64 (sqrt.f64 N))

Compiler

Compiled 3267 to 1635 computations (50% saved)

series143.0ms (3.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

80.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
20.0ms	(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
16.0ms	(/.f64 (+.f64 N 1) (sqrt.f64 N))
14.0ms	(log.f64 (sqrt.f64 N))

Compiler

Compiled 569 to 437 computations (23.2% saved)

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5203	2779

prune146.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	176	4	180

Error

0.0b

Counts

180 → 4

Compiler

Compiled 2982 to 1492 computations (50% saved)

regimes151.0ms (4.1%)

Accuracy

Total 0.1b remaining (60.2%)

Threshold costs 0.1b (60.2%)

Compiler

Compiled 1250 to 926 computations (25.9% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	41
1	78	41

end0.0ms (0%)

sample1.9s (52.6%)

Algorithm

1×

intervals

Results

471.0ms	1964×	body	1024	valid
248.0ms	4216×	body	128	valid
163.0ms	1052×	body	512	valid
103.0ms	275×	body	2048	valid
49.0ms	493×	body	256	valid

Compiler

Compiled 652 to 487 computations (25.3% saved)

Details

analyze93.0ms (2.5%)

sample47.0ms (1.3%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite58.0ms (1.6%)

series102.0ms (2.8%)

simplify84.0ms (2.3%)

prune52.0ms (1.4%)

localize5.0ms (0.1%)

rewrite58.0ms (1.6%)

series69.0ms (1.9%)

simplify87.0ms (2.4%)

prune42.0ms (1.1%)

localize7.0ms (0.2%)

rewrite65.0ms (1.8%)

series98.0ms (2.7%)

simplify65.0ms (1.8%)

prune59.0ms (1.6%)

localize10.0ms (0.3%)

rewrite192.0ms (5.2%)

series143.0ms (3.9%)

simplify95.0ms (2.6%)

prune146.0ms (3.9%)

regimes151.0ms (4.1%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (52.6%)

Profiling