Details

analyze2.0ms (0.1%)

Algorithm

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)

sample38.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	66×	body	1024	valid
8.0ms	140×	body	128	valid
4.0ms	27×	body	512	valid
4.0ms	9×	body	2048	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify173.0ms (5.8%)

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

Merged error: 28.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
2.4b	(log.f64 (+.f64 N 1))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_79`
11×	`log-prod_binary64_165`
8×	`add-sqr-sqrt_binary64_101` `pow1_binary64_140`
6×	`add-cube-cbrt_binary64_114` `log-pow_binary64_168`
4×	`associate--l+_binary64_16` `distribute-lft-out--_binary64_31` `log-div_binary64_166` `cancel-sign-sub-inv_binary64_45`
3×	`add-exp-log_binary64_117` `associate--r+_binary64_15`
2×	`add-cbrt-cube_binary64_115` `associate--l-_binary64_17` `flip-+_binary64_53` `add-log-exp_binary64_118` `flip3-+_binary64_82` `distribute-lft-out_binary64_30`
1×	`rem-log-exp_binary64_120` `flip--_binary64_54` `difference-of-squares_binary64_48` `diff-log_binary64_171` `flip3--_binary64_83` `sub-neg_binary64_72`

Counts

2 → 44

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.0ms	(log.f64 (+.f64 N 1))

series72.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
24.0ms	(log.f64 (+.f64 N 1))

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5011	673

prune112.0ms (3.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	2	51

Merged error: 0.0b

Counts

51 → 2

Compiler

Compiled 1443 to 1088 computations (24.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_79`
24×	`times-frac_binary64_85`
19×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
16×	`log-prod_binary64_165`
7×	`add-exp-log_binary64_117` `distribute-lft-out_binary64_30`
4×	`add-cbrt-cube_binary64_115` `associate-/l*_binary64_24`
3×	`associate-/r*_binary64_23` `pow1_binary64_140`
2×	`rem-log-exp_binary64_120` `div-exp_binary64_130` `div-inv_binary64_76` `add-log-exp_binary64_118` `associate-/l/_binary64_26`
1×	`cbrt-undiv_binary64_113` `flip-+_binary64_53` `log-div_binary64_166` `clear-num_binary64_78` `log-pow_binary64_168` `flip3-+_binary64_82` `frac-2neg_binary64_90`

Counts

2 → 60

Calls

2 calls:

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

series99.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(/.f64 (+.f64 N 1) N)
43.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5428	940

prune56.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

Compiler

Compiled 904 to 623 computations (31.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_165`
47×	`*-un-lft-identity_binary64_79`
36×	`times-frac_binary64_85`
29×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
13×	`add-exp-log_binary64_117`
9×	`distribute-lft-out_binary64_30`
8×	`pow1_binary64_140`
6×	`rem-log-exp_binary64_120`
4×	`add-cbrt-cube_binary64_115` `add-log-exp_binary64_118` `cbrt-prod_binary64_110` `log-pow_binary64_168`
3×	`div-exp_binary64_130` `div-inv_binary64_76` `log-div_binary64_166`
1×	`pow1/3_binary64_161`

Counts

4 → 93

Calls

4 calls:

7.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
2.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))

series215.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
41.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
39.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
38.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4911	1730
1	4911	1730

prune169.0ms (5.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

Compiler

Compiled 3177 to 2328 computations (26.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))
1.2b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_165`
47×	`*-un-lft-identity_binary64_79`
36×	`times-frac_binary64_85`
29×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
13×	`add-exp-log_binary64_117`
9×	`distribute-lft-out_binary64_30`
8×	`pow1_binary64_140`
6×	`rem-log-exp_binary64_120`
4×	`add-cbrt-cube_binary64_115` `add-log-exp_binary64_118` `cbrt-prod_binary64_110` `log-pow_binary64_168`
3×	`div-exp_binary64_130` `div-inv_binary64_76` `log-div_binary64_166`
1×	`pow1/3_binary64_161`

Counts

4 → 93

Calls

4 calls:

5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
2.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))

series222.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
48.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
39.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
37.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4911	1730
1	4911	1730

prune173.0ms (5.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

Compiler

Compiled 3278 to 2451 computations (25.2% saved)

regimes18.0ms (0.6%)

Compiler: Compiled 48 to 39 computations (18.8% saved)

bsearch14.0ms (0.5%)

Steps

Iters	Range		Point
7	579.8001080704165	47427.39973312054	7203.156891927706

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	37
1	39	37

end0.0ms (0%)

sample1.2s (41.2%)

Algorithm

1×

intervals

Results

482.0ms	2029×	body	1024	valid
248.0ms	4263×	body	128	valid
150.0ms	995×	body	512	valid
95.0ms	236×	body	2048	valid
43.0ms	477×	body	256	valid

Compiler

Compiled 79 to 64 computations (19% saved)

Details

analyze2.0ms (0.1%)

sample38.0ms (1.3%)

simplify173.0ms (5.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series72.0ms (2.4%)

simplify67.0ms (2.2%)

prune112.0ms (3.7%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series99.0ms (3.3%)

simplify73.0ms (2.4%)

prune56.0ms (1.9%)

localize9.0ms (0.3%)

rewrite30.0ms (1%)

series215.0ms (7.2%)

simplify66.0ms (2.2%)

prune169.0ms (5.7%)

localize12.0ms (0.4%)

rewrite27.0ms (0.9%)

series222.0ms (7.4%)

simplify66.0ms (2.2%)

prune173.0ms (5.8%)

regimes18.0ms (0.6%)

bsearch14.0ms (0.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (41.2%)

Profiling