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

sample36.0ms

Algorithm

intervals

Results

14.0ms	51×	body	1280	valid
7.0ms	149×	body	80	valid
6.0ms	32×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	9×	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: 24.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.1b	(log.f64 (+.f64 N 1))

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:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.0ms	(log.f64 (+.f64 N 1))

simplify44.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5077	415

prune46.0ms

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)
2.8b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite15.0ms

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify69.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5091	613

prune29.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (/.f64 (+.f64 N 1) N))
0.3b	(cbrt.f64 (/.f64 (+.f64 N 1) N))
2.9b	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
2.9b	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod_binary64`
62×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
38×	`log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`distribute-lft-out_binary64`
6×	`pow1_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1/3_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
2×	`rem-log-exp_binary64` `log-div_binary64`

Counts

4 → 110

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
4.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
6.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
7.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
9.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
11.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5216	1518

prune109.0ms

Filtered

98 candidates to 122 candidates (-24.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	122	3	125

Merged error: 0.0b

Counts

125 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (/.f64 (+.f64 N 1) N))
0.8b	(exp.f64 (log.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
2.9b	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
2.9b	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
48×	`cbrt-prod_binary64`
43×	`log-prod_binary64`
36×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`distribute-lft-out_binary64`
8×	`pow1_binary64`
7×	`log-pow_binary64`
6×	`add-exp-log_binary64`
5×	`exp-sum_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
3×	`cbrt-div_binary64` `div-inv_binary64`
2×	`rem-log-exp_binary64` `log-div_binary64`
1×	`rem-exp-log_binary64`

Counts

4 → 102

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
3.0ms	(exp.f64 (log.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
6.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
6.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
9.0ms	(exp.f64 (log.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
9.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
10.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5287	1360

prune95.0ms

Filtered

89 candidates to 114 candidates (-28.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

regimes21.0ms

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
7	2600.6400730015894	245589.1399797306	7550.640338113207

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

489.0ms	1738×	body	1280	valid
235.0ms	1267×	body	640	valid
199.0ms	4084×	body	80	valid
80.0ms	609×	body	320	valid
23.0ms	302×	body	160	valid

Details

analyze2.0ms

sample36.0ms

simplify7.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series9.0ms

simplify44.0ms

prune46.0ms

localize5.0ms

rewrite15.0ms

series9.0ms

simplify69.0ms

prune29.0ms

localize11.0ms

rewrite24.0ms

series35.0ms

simplify52.0ms

prune109.0ms

localize12.0ms

rewrite22.0ms

series36.0ms

simplify56.0ms

prune95.0ms

regimes21.0ms

bsearch9.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling