Details

analyze17.0ms (0.4%)

Algorithm

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample75.0ms (1.8%)

Algorithm

1×

intervals

Results

41.0ms	139×	body	1024	valid
12.0ms	63×	body	512	valid
5.0ms	42×	body	256	valid
4.0ms	9×	body	2048	valid
3.0ms	256×	pre	128	true
0.0ms	3×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify320.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	6094	23

prune5.0ms (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)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_1187`
25×	`*-un-lft-identity_binary64_1101`
19×	`add-sqr-sqrt_binary64_1123`
15×	`add-cube-cbrt_binary64_1136`
14×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
9×	`pow1_binary64_1162`
8×	`associate--l+_binary64_1038` `associate-r_binary64_1041`
7×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
6×	`associate--r+_binary64_1037`
5×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052`
2×	`-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `log-pow_binary64_1190` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `flip-+_binary64_1075` `cancel-sign-sub-inv_binary64_1067`

Counts

3 → 81

Calls

6 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))
0.0ms	(*.f64 n (log.f64 n))
0.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

series150.0ms (3.5%)

Counts

3 → 11

Calls

3 calls:

80.0ms	(*.f64 n (log.f64 n))
46.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
24.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

Compiler

Compiled 321 to 269 computations (16.2% saved)

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4981	1480
1	4981	1480

prune120.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	1	93

Error

0.0b

Counts

93 → 1

Compiler

Compiled 1897 to 1186 computations (37.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_1101`
6×	`add-sqr-sqrt_binary64_1123`
5×	`add-log-exp_binary64_1140`
3×	`distribute-lft-out--_binary64_1053` `cancel-sign-sub-inv_binary64_1067`
2×	`diff-log_binary64_1193` `difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
1×	`sum-log_binary64_1192` `add-exp-log_binary64_1139` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `associate--l+_binary64_1038` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190`

Counts

1 → 22

Calls

2 calls:

8.0ms	(-.f64 (+.f64 1 (log.f64 n)) 1)
0.0ms	(-.f64 (+.f64 1 (log.f64 n)) 1)

series52.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5002	181

prune14.0ms (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)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (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)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	565	967
1	565	967

regimes172.0ms (4.1%)

Compiler: Compiled 1998 to 1521 computations (23.9% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample3.1s (72.7%)

Algorithm

1×

intervals

Results

1.3s	4178×	body	1024	valid
458.0ms	2119×	body	512	valid
242.0ms	487×	body	2048	valid
140.0ms	1070×	body	256	valid
111.0ms	8000×	pre	128	true
9.0ms	146×	body	128	valid

Compiler

Compiled 661 to 504 computations (23.8% saved)

Pareto

0.0

Details

analyze17.0ms (0.4%)

sample75.0ms (1.8%)

simplify320.0ms (7.6%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite30.0ms (0.7%)

series150.0ms (3.5%)

simplify72.0ms (1.7%)

prune120.0ms (2.8%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series52.0ms (1.2%)

simplify67.0ms (1.6%)

prune14.0ms (0.3%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune0.0ms (0%)

simplify17.0ms (0.4%)

regimes172.0ms (4.1%)

bsearch0.0ms (0%)

regimes7.0ms (0.2%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (72.7%)

Profiling