Details

analyze342.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6094	23
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	23.7%	76.3%	0
0%	23.7%	76.3%	1
11.9%	11.9%	76.3%	2
17.8%	5.9%	76.3%	3
20.8%	3%	76.3%	4
22.2%	1.5%	76.3%	5
23%	0.7%	76.3%	6
23.3%	0.4%	76.3%	7
23.3%	0.4%	76.3%	8
23.4%	0.3%	76.3%	9
23.5%	0.2%	76.3%	10
23.5%	0.2%	76.3%	11
23.5%	0.2%	76.3%	12
23.6%	0.2%	76.3%	13
23.6%	0.1%	76.3%	14

Symmetry

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample80.0ms (1.8%)

Algorithm

1×

intervals

Results

42.0ms	135×	body	1024	valid
11.0ms	62×	body	512	valid
8.0ms	18×	body	2048	valid
4.0ms	36×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	5×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify233.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	6094	23

prune3.0ms (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

63.0b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
0.3b	(*.f64 n (log.f64 n))
4.9b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite130.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

60.5b

Rules

28×	`log-prod_binary64_505`
25×	`*-un-lft-identity_binary64_419`
19×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454`
14×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
9×	`pow1_binary64_480`
8×	`associate--l+_binary64_356` `associate-r_binary64_359`
7×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-l_binary64_360`
6×	`associate--r+_binary64_355`
5×	`add-log-exp_binary64_458` `distribute-lft-out_binary64_370`
2×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `log-pow_binary64_508` `-commutative_binary64_350` `associate-l/_binary64_362`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 81

Calls

3 calls:

10.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
9.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

Compiler

Compiled 1890 to 1190 computations (37% saved)

series163.0ms (3.6%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

73.0ms	(*.f64 n (log.f64 n))
51.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
27.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

Compiler

Compiled 515 to 407 computations (21% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5105	1492

prune96.0ms (2.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	1	94

Error

0.0b

Counts

94 → 1

Compiler

Compiled 1912 to 1196 computations (37.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (+.f64 1 (log.f64 n)) 1)

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_419`
6×	`add-sqr-sqrt_binary64_441`
5×	`add-log-exp_binary64_458`
3×	`cancel-sign-sub-inv_binary64_385` `distribute-lft-out--_binary64_371`
2×	`diff-log_binary64_511` `pow1_binary64_480` `add-cube-cbrt_binary64_454` `difference-of-squares_binary64_388` `distribute-lft-out_binary64_370`
1×	`sum-log_binary64_510` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `difference-of-sqr-1_binary64_389` `log-pow_binary64_508` `associate--l+_binary64_356`

Counts

1 → 22

Calls

1 calls:

7.0ms

(-.f64 (+.f64 1 (log.f64 n)) 1)

Compiler

Compiled 277 to 210 computations (24.2% saved)

series53.0ms (1.2%)

Error

Counts

1 → 3

Calls

1 calls:

50.0ms

(-.f64 (+.f64 1 (log.f64 n)) 1)

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5002	181

prune16.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	1	26

Error

Counts

26 → 1

Compiler

Compiled 176 to 105 computations (40.3% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes181.0ms (4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 2239 to 1699 computations (24.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

Removed

()

end0.0ms (0%)

sample3.1s (67.3%)

Algorithm

1×

intervals

Results

1.2s	4173×	body	1024	valid
411.0ms	2147×	body	512	valid
203.0ms	456×	body	2048	valid
126.0ms	1064×	body	256	valid
98.0ms	8000×	pre	128	true
9.0ms	160×	body	128	valid

Compiler

Compiled 775 to 592 computations (23.6% saved)

Details

analyze342.0ms (7.5%)

sample80.0ms (1.8%)

simplify233.0ms (5.1%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite130.0ms (2.9%)

series163.0ms (3.6%)

simplify74.0ms (1.6%)

prune96.0ms (2.1%)

localize5.0ms (0.1%)

rewrite28.0ms (0.6%)

series53.0ms (1.2%)

simplify63.0ms (1.4%)

prune16.0ms (0.3%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes181.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (67.3%)

Profiling