Details

analyze2.0ms

Algorithm

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

sample46.0ms

Algorithm

intervals

Results

16.0ms	54×	body	1280	valid
12.0ms	130×	body	80	valid
9.0ms	46×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune2.0ms

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

Local error

Found 2 expressions with local error:

2.3b	(log.f64 (+.f64 N 1))
3.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite12.0ms

Algorithm

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:

3.0ms	(log.f64 (+.f64 N 1))
8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(log.f64 (+.f64 N 1))
7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5077	415

prune60.0ms

Filtered

33 candidates to 46 candidates (-39.4%)

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
3.1b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite12.0ms

Algorithm

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (+.f64 N 1) N)
7.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify67.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5091	613

prune57.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

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

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
3.1b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
3.1b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite25.0ms

Algorithm

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:

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

series26.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
7.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
9.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

simplify56.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4928	1476
1	4928	1476

prune130.0ms

Filtered

94 candidates to 130 candidates (-38.3%)

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

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
2.4b	(log.f64 (sqrt.f64 (+.f64 N 1)))
3.1b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
3.2b	(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 N)))

rewrite31.0ms

Algorithm

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:

5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
4.0ms	(log.f64 (sqrt.f64 (+.f64 N 1)))
6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
12.0ms	(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 N)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
7.0ms	(log.f64 (sqrt.f64 (+.f64 N 1)))
7.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
21.0ms	(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 N)))

simplify84.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4927	1493
1	4927	1493

prune122.0ms

Filtered

90 candidates to 124 candidates (-37.8%)

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

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.3b

bsearch9.0ms

Steps

Iters	Range		Point
6	1882.6297948501299	23582.15089758739	4754.174426391358

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	37
1	54	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

529.0ms	1773×	body	1280	valid
238.0ms	1225×	body	640	valid
214.0ms	4092×	body	80	valid
79.0ms	609×	body	320	valid
27.0ms	301×	body	160	valid

Details

analyze2.0ms

sample46.0ms

simplify7.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series10.0ms

simplify42.0ms

prune60.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify67.0ms

prune57.0ms

localize7.0ms

rewrite25.0ms

series26.0ms

simplify56.0ms

prune130.0ms

localize13.0ms

rewrite31.0ms

series40.0ms

simplify84.0ms

prune122.0ms

regimes34.0ms

bsearch9.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling