Details

analyze1.0ms

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

sample105.0ms

Algorithm

intervals

Results

17.0ms	62×	body	1280	valid
8.0ms	48×	body	640	valid
5.0ms	115×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	71	7
1	71	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: 33.0b

Counts

2 → 1

localize26.0ms

Local error

Found 2 expressions with local error:

26.6b	(log (+ N 1.0))
33.0b	(- (log (+ N 1.0)) (log N))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`pow1` `add-sqr-sqrt`
5×	`add-cube-cbrt` `log-pow`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

3.0ms	(log (+ N 1.0))
7.0ms	(- (log (+ N 1.0)) (log N))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(log (+ N 1.0))
7.0ms	(- (log (+ N 1.0)) (log N))

simplify40.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5481	434

prune76.0ms

Filtered

35 candidates to 46 candidates (-31.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.0b

Counts

47 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 N) (/ 0.5 (* N N)))
0.2b	(/ 0.3333333333333333 (pow N 3))
0.5b	(/ 0.5 (* N N))
11.0b	(+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-/r*`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
5×	`div-exp`
4×	`pow1` `cube-mult` `unpow3` `difference-of-squares` `sqr-pow`
3×	`cbrt-undiv` `frac-add`
2×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `sum-log` `frac-sub` `flip--` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `associate-+r+` `flip3-+` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 122

Calls

4 calls:

9.0ms	(- (/ 1.0 N) (/ 0.5 (* N N)))
5.0ms	(/ 0.3333333333333333 (pow N 3))
4.0ms	(/ 0.5 (* N N))
31.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))

series16.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ 1.0 N) (/ 0.5 (* N N)))
3.0ms	(/ 0.3333333333333333 (pow N 3))
3.0ms	(/ 0.5 (* N N))
4.0ms	(+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))

simplify33.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5101	1475

prune148.0ms

Filtered

82 candidates to 134 candidates (-63.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	134	2	136

Merged error: 0.0b

Counts

136 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
33.0b	(log (/ (+ N 1.0) N))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 60

Calls

2 calls:

5.0ms	(/ (+ N 1.0) N)
4.0ms	(log (/ (+ N 1.0) N))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (+ N 1.0) N)
4.0ms	(log (/ (+ N 1.0) N))

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4970	619
1	4970	619

prune74.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0.0b

Counts

68 → 2

regimes28.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.7b

bsearch25.0ms

Steps

Iters	Range		Point
9	0.09764654336016358	3522482.1054614517	7474.458484529634

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

463.0ms	1693×	body	1280	valid
217.0ms	1226×	body	640	valid
182.0ms	4103×	body	80	valid
74.0ms	636×	body	320	valid
24.0ms	342×	body	160	valid

Details

analyze1.0ms

sample105.0ms

simplify5.0ms

prune2.0ms

localize26.0ms

rewrite11.0ms

series10.0ms

simplify40.0ms

prune76.0ms

localize10.0ms

rewrite53.0ms

series16.0ms

simplify33.0ms

prune148.0ms

localize14.0ms

rewrite11.0ms

series8.0ms

simplify42.0ms

prune74.0ms

regimes28.0ms

bsearch25.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling