Details

analyze15.0ms (0.3%)

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)

sample76.0ms (1.8%)

Algorithm

1×

intervals

Results

42.0ms	140×	body	1024	valid
12.0ms	62×	body	512	valid
7.0ms	15×	body	2048	valid
4.0ms	35×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	4×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify314.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	5237	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

Merged error: 63.0b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (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))
6.1b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_509`
25×	`*-un-lft-identity_binary64_423`
19×	`add-sqr-sqrt_binary64_445`
15×	`add-cube-cbrt_binary64_458`
14×	`distribute-rgt-in_binary64_373` `distribute-lft-in_binary64_372`
9×	`pow1_binary64_484`
8×	`associate--l+_binary64_360` `associate-r_binary64_363`
7×	`associate-l_binary64_364` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
6×	`associate--r+_binary64_359`
5×	`distribute-lft-out_binary64_374` `add-log-exp_binary64_462`
2×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `associate-l/_binary64_366` `-commutative_binary64_354` `log-pow_binary64_512` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`
1×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `cancel-sign-sub-inv_binary64_389` `flip3--_binary64_427` `flip3-+_binary64_426` `flip--_binary64_398`

Counts

3 → 81

Calls

3 calls:

12.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
10.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

series250.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

110.0ms	(*.f64 n (log.f64 n))
104.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
35.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	1539
1	4981	1539

prune439.0ms (10.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	1	91

Merged error: 0.0b

Counts

91 → 1

Compiler

Compiled 8230 to 5785 computations (29.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
0.0b	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
1.4b	(/.f64 1/6 (*.f64 n n))

rewrite64.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_423`
31×	`distribute-lft-out--_binary64_375`
29×	`add-log-exp_binary64_462`
23×	`add-sqr-sqrt_binary64_445`
21×	`cancel-sign-sub-inv_binary64_389`
17×	`diff-log_binary64_515`
12×	`associate--l+_binary64_360`
10×	`pow1_binary64_484`
9×	`add-cube-cbrt_binary64_458`
8×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
7×	`log-pow_binary64_512` `difference-of-squares_binary64_392`
6×	`distribute-lft-out_binary64_374`
5×	`times-frac_binary64_429` `associate--r+_binary64_359`
4×	`sub-neg_binary64_416` `flip3--_binary64_427` `flip--_binary64_398` `frac-sub_binary64_432` `sum-log_binary64_514`
3×	`associate-/l*_binary64_368`
2×	`flip-+_binary64_397` `flip3-+_binary64_426` `associate--r-_binary64_362` `cbrt-undiv_binary64_457` `div-exp_binary64_474`
1×	`associate--l-_binary64_361` `prod-exp_binary64_472` `clear-num_binary64_422` `frac-2neg_binary64_434` `difference-of-sqr-1_binary64_393` `div-inv_binary64_420` `associate-/r*_binary64_367` `cbrt-unprod_binary64_456`

Counts

3 → 99

Calls

3 calls:

28.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
20.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
5.0ms	(/.f64 1/6 (*.f64 n n))

series102.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
35.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
31.0ms	(/.f64 1/6 (*.f64 n n))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5435	2430

prune123.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	2	109

Merged error: 0b

Counts

109 → 2

Compiler

Compiled 2422 to 1567 computations (35.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.4b	(/.f64 -1/6 (*.f64 n n))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`-un-lft-identity_binary64_423` `times-frac_binary64_429` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445` `associate-/l_binary64_368`
2×	`cbrt-undiv_binary64_457` `div-exp_binary64_474`
1×	`prod-exp_binary64_472` `pow1_binary64_484` `clear-num_binary64_422` `frac-2neg_binary64_434` `add-log-exp_binary64_462` `div-inv_binary64_420` `associate-/r*_binary64_367` `cbrt-unprod_binary64_456`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 -1/6 (*.f64 n n))

series31.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

30.0ms

(/.f64 -1/6 (*.f64 n n))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4794	212
1	4794	212

prune24.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Merged error: 0b

Counts

26 → 2

Compiler

Compiled 393 to 277 computations (29.5% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.4b	(/.f64 1/6 (*.f64 n n))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`-un-lft-identity_binary64_423` `times-frac_binary64_429` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445` `associate-/l_binary64_368`
2×	`cbrt-undiv_binary64_457` `div-exp_binary64_474`
1×	`prod-exp_binary64_472` `pow1_binary64_484` `clear-num_binary64_422` `frac-2neg_binary64_434` `add-log-exp_binary64_462` `div-inv_binary64_420` `associate-/r*_binary64_367` `cbrt-unprod_binary64_456`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 1/6 (*.f64 n n))

series32.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 1/6 (*.f64 n n))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4794	212
1	4794	212

prune20.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	2	26

Merged error: 0b

Counts

26 → 2

Compiler

Compiled 357 to 221 computations (38.1% saved)

regimes10.0ms (0.2%)

Compiler: Compiled 27 to 21 computations (22.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	18
1	106	18

end0.0ms (0%)

sample2.4s (55.5%)

Algorithm

1×

intervals

Results

1.3s	4282×	body	1024	valid
405.0ms	2032×	body	512	valid
214.0ms	438×	body	2048	valid
136.0ms	1100×	body	256	valid
102.0ms	8000×	pre	128	true
9.0ms	148×	body	128	valid

Compiler

Compiled 79 to 63 computations (20.3% saved)

Details

analyze15.0ms (0.3%)

sample76.0ms (1.8%)

simplify314.0ms (7.3%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite34.0ms (0.8%)

series250.0ms (5.8%)

simplify76.0ms (1.8%)

prune439.0ms (10.1%)

localize11.0ms (0.2%)

rewrite64.0ms (1.5%)

series102.0ms (2.4%)

simplify70.0ms (1.6%)

prune123.0ms (2.8%)

localize9.0ms (0.2%)

rewrite7.0ms (0.2%)

series31.0ms (0.7%)

simplify95.0ms (2.2%)

prune24.0ms (0.5%)

localize9.0ms (0.2%)

rewrite7.0ms (0.2%)

series32.0ms (0.7%)

simplify95.0ms (2.2%)

prune20.0ms (0.5%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (55.5%)

Profiling