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

sample39.0ms (1.8%)

Algorithm

1×

intervals

Results

16.0ms	54×	body	1280	valid
9.0ms	46×	body	640	valid
6.0ms	130×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

prune4.0ms (0.2%)

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: 29.6b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

2.3b	(log.f64 (+.f64 N 1.0))
3.2b	(-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`log-prod_binary64`
7×	`pow1_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64` `log-pow_binary64`
4×	`distribute-lft-out--_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`associate--r+_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

2 → 40

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1.0))

series11.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1.0))

simplify56.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4909	440
1	4909	440

prune72.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1.0) N)
3.1b	(log.f64 (/.f64 (+.f64 N 1.0) N))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 60

Calls

2 calls:

6.0ms	(/.f64 (+.f64 N 1.0) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1.0) N))

series12.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (+.f64 N 1.0) N)
6.0ms	(log.f64 (/.f64 (+.f64 N 1.0) N))

simplify45.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4954	625
1	4954	625

prune75.0ms (3.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Merged error: 0.1b

Counts

69 → 3

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))
0.1b	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))
3.1b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
3.1b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`sqrt-prod_binary64`
62×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
38×	`log-prod_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`pow1_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `sqrt-div_binary64`
2×	`rem-log-exp_binary64` `log-div_binary64`

Counts

4 → 118

Calls

4 calls:

6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))

series24.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
8.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))
4.0ms	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))

simplify57.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4956	1492
1	4956	1492

prune175.0ms (8.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	130	3	133

Merged error: 0.1b

Counts

133 → 3

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))
2.4b	(log.f64 (sqrt.f64 (+.f64 N 1.0)))
3.1b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
3.2b	(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))

rewrite30.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
43×	`sqrt-prod_binary64`
39×	`log-prod_binary64`
32×	`add-sqr-sqrt_binary64`
27×	`add-cube-cbrt_binary64`
25×	`times-frac_binary64`
15×	`pow1_binary64`
14×	`log-pow_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate--l+_binary64`
6×	`associate--r+_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `sqrt-div_binary64`
5×	`pow1/2_binary64` `sqrt-pow1_binary64` `log-div_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `rem-log-exp_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

4 → 112

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))
7.0ms	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))
6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 N 1.0)))

series42.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))
8.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))
7.0ms	(log.f64 (sqrt.f64 (+.f64 N 1.0)))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1.0) N))

simplify46.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4968	1523
1	4968	1523

prune169.0ms (7.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	124	3	127

Merged error: 0.1b

Counts

127 → 3

regimes32.0ms (1.5%)

Accuracy

Total 0.0b remaining (2.9%)

Threshold costs 0.0b (2.9%)

bsearch8.0ms (0.4%)

Steps

Iters	Range		Point
6	1882.6297948501299	23582.15089758739	4754.174426391358

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	37
1	55	37

end0.0ms (0%)

sample1.2s (53.9%)

Algorithm

1×

intervals

Results

516.0ms	1773×	body	1280	valid
233.0ms	1225×	body	640	valid
205.0ms	4092×	body	80	valid
80.0ms	609×	body	320	valid
23.0ms	301×	body	160	valid

Details

analyze2.0ms (0.1%)

sample39.0ms (1.8%)

simplify7.0ms (0.3%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite12.0ms (0.6%)

series11.0ms (0.5%)

simplify56.0ms (2.6%)

prune72.0ms (3.4%)

localize4.0ms (0.2%)

rewrite12.0ms (0.6%)

series12.0ms (0.6%)

simplify45.0ms (2.1%)

prune75.0ms (3.5%)

localize7.0ms (0.3%)

rewrite25.0ms (1.2%)

series24.0ms (1.1%)

simplify57.0ms (2.6%)

prune175.0ms (8.2%)

localize13.0ms (0.6%)

rewrite30.0ms (1.4%)

series42.0ms (1.9%)

simplify46.0ms (2.1%)

prune169.0ms (7.9%)

regimes32.0ms (1.5%)

bsearch8.0ms (0.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (53.9%)

Profiling