Details

analyze331.0ms (6.9%)

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample79.0ms (1.6%)

Algorithm

1×

intervals

Results

39.0ms	135×	body	1024	valid
16.0ms	66×	body	512	valid
4.0ms	38×	body	256	valid
4.0ms	10×	body	2048	valid
3.0ms	256×	pre	128	true
0.0ms	7×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify227.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

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))
7.2b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite133.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

60.4b

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-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
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×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `log-pow_binary64_1190` `-commutative_binary64_1032` `associate-l/_binary64_1044`
1×	`diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067` `flip3-+_binary64_1104` `flip-+_binary64_1075`

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)))
4.0ms	(*.f64 n (log.f64 n))

Compiler

Compiled 1890 to 1190 computations (37% saved)

series161.0ms (3.4%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

69.0ms	(*.f64 n (log.f64 n))
50.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
29.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

Compiler

Compiled 515 to 407 computations (21% saved)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5105	1492

prune95.0ms (2%)

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 2 expressions with local error:

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

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`*-un-lft-identity_binary64_1101`
8×	`add-sqr-sqrt_binary64_1123`
7×	`add-log-exp_binary64_1140`
4×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `distribute-lft-out_binary64_1052`
3×	`log-prod_binary64_1187` `associate-+r+_binary64_1033` `cancel-sign-sub-inv_binary64_1067` `distribute-lft-out--_binary64_1053`
2×	`sum-log_binary64_1192` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190` `diff-log_binary64_1193` `difference-of-squares_binary64_1070`
1×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `difference-of-sqr-1_binary64_1071` `associate--l+_binary64_1038`

Counts

2 → 38

Calls

2 calls:

7.0ms	(-.f64 (+.f64 1 (log.f64 n)) 1)
4.0ms	(+.f64 1 (log.f64 n))

Compiler

Compiled 462 to 338 computations (26.8% saved)

series101.0ms (2.1%)

Error

Counts

2 → 6

Calls

2 calls:

50.0ms	(-.f64 (+.f64 1 (log.f64 n)) 1)
46.0ms	(+.f64 1 (log.f64 n))

Compiler

Compiled 120 to 114 computations (5% saved)

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5019	345

prune26.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	1	45

Error

Counts

45 → 1

Compiler

Compiled 358 to 230 computations (35.8% 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)

simplify8.0ms (0.2%)

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)

regimes212.0ms (4.4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 2528 to 1931 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

end0.0ms (0%)

sample3.2s (67%)

Algorithm

1×

intervals

Results

1.2s	4159×	body	1024	valid
418.0ms	2072×	body	512	valid
213.0ms	469×	body	2048	valid
134.0ms	1127×	body	256	valid
99.0ms	8000×	pre	128	true
10.0ms	173×	body	128	valid

Compiler

Compiled 852 to 654 computations (23.2% saved)

Details

analyze331.0ms (6.9%)

sample79.0ms (1.6%)

simplify227.0ms (4.7%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite133.0ms (2.8%)

series161.0ms (3.4%)

simplify73.0ms (1.5%)

prune95.0ms (2%)

localize5.0ms (0.1%)

rewrite44.0ms (0.9%)

series101.0ms (2.1%)

simplify69.0ms (1.4%)

prune26.0ms (0.5%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.2%)

prune1.0ms (0%)

regimes212.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample3.2s (67%)

Profiling