Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample82.0ms

Algorithm

intervals

Results

45.0ms	102×	body	1280	valid
21.0ms	84×	body	640	valid
7.0ms	44×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	6×	body	80	valid

simplify168.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4417	8
1	4417	8

prune3.0ms

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: 58.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4985	1113
1	4985	1113

prune151.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0.1b

Counts

90 → 4

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
6.6b	(log (+ 1.0 eps))
6.6b	(log (- 1.0 eps))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

9.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

series19.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

simplify93.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4900	694
1	4900	694

prune114.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	2	0	2
Picked	0	1	1
Done	1	0	1
Total	71	2	73

Merged error: 0.0b

Counts

73 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow (/ eps 1.0) 3) -2/3) (- (* (/ (pow eps 5) (pow 1.0 5)) -2/5) (* eps 2.0)))
0.1b	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
0.1b	(* (pow (/ eps 1.0) 3) -2/3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt` `associate-l`
78×	`times-frac`
63×	`unpow-prod-down`
49×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp` `add-cbrt-cube`
8×	`pow-exp` `add-log-exp`
7×	`pow-to-exp`
6×	`associate-r`
5×	`pow1`
4×	`associate-*l/`
3×	`cube-div` `cbrt-unprod` `div-inv`
2×	`frac-add` `sum-log` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-prod-down` `flip--` `flip-+`

Counts

3 → 159

Calls

3 calls:

16.0ms	(+ (* (pow (/ eps 1.0) 3) -2/3) (- (* (/ (pow eps 5) (pow 1.0 5)) -2/5) (* eps 2.0)))
13.0ms	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
10.0ms	(* (pow (/ eps 1.0) 3) -2/3)

series25.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* (pow (/ eps 1.0) 3) -2/3) (- (* (/ (pow eps 5) (pow 1.0 5)) -2/5) (* eps 2.0)))
8.0ms	(* (/ (pow eps 5) (pow 1.0 5)) -2/5)
9.0ms	(* (pow (/ eps 1.0) 3) -2/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5232	2066

prune431.0ms

Filtered

126 candidates to 168 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	168	2	170

Merged error: 0b

Counts

170 → 2

regimes24.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	161	16
1	161	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s	3383×	body	1280	valid
642.0ms	2530×	body	640	valid
198.0ms	1264×	body	320	valid
59.0ms	626×	body	160	valid
9.0ms	197×	body	80	valid

Details

analyze4.0ms

sample82.0ms

simplify168.0ms

prune3.0ms

localize9.0ms

rewrite17.0ms

series8.0ms

simplify47.0ms

prune151.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune9.0ms

localize7.0ms

rewrite17.0ms

series19.0ms

simplify93.0ms

prune114.0ms

localize13.0ms

rewrite46.0ms

series25.0ms

simplify45.0ms

prune431.0ms

regimes24.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling