Details

sample56.0ms

Algorithm

intervals

Results

23.0ms	117×	body	5120	exit
7.0ms	196×	body	80	valid
5.0ms	14×	body	640	valid
4.0ms	137×	body	80	overflowed
3.0ms	32×	body	320	valid
1.0ms	18×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 14.4b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
4.8b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ wj (+ wj 1))
7.0ms	(/ x (+ wj 1))
29.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (/ x (+ wj 1)) (exp wj))
21.0ms	(/ wj (+ wj 1))
26.0ms	(/ x (+ wj 1))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify82.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1471

prune367.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.4b

Counts

190 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* wj x))
0.0b	(+ x (pow wj 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

5.0ms	(* 2 (* wj x))
4.0ms	(+ x (pow wj 2))

series48.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 2 (* wj x))
29.0ms	(+ x (pow wj 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	149	122
1	551	108
2	2352	107
3	5001	107

prune61.0ms

Filtered

36 candidates to 21 candidates (58.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	34	7	41

Merged error: 0.4b

Counts

41 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
7.7b	(- wj (/ wj (+ wj 1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
115×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
20×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 171

Calls

4 calls:

9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
11.0ms	(- wj (/ wj (+ wj 1)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (/ x (+ wj 1)) (exp wj))
27.0ms	(/ x (+ wj 1))
21.0ms	(/ wj (+ wj 1))
26.0ms	(- wj (/ wj (+ wj 1)))

simplify70.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	631	1335
1	2841	1279
2	5001	1275

prune340.0ms

Filtered

183 candidates to 135 candidates (73.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	183	7	190

Merged error: 0.1b

Counts

190 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
110×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
21×	`distribute-lft-out` `associate-/l*`
18×	`add-log-exp`
11×	`add-cbrt-cube`
10×	`associate-/r/`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `div-inv`
5×	`sum-log`
4×	`pow1` `cbrt-undiv` `diff-log` `div-exp` `distribute-lft-out--` `difference-of-squares`
3×	`associate-+r+`
2×	`sub-neg` `flip3--` `frac-2neg` `frac-add` `associate--l+` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `unpow-prod-down` `cube-prod` `associate-/l/` `sqr-pow`

Counts

4 → 165

Calls

4 calls:

46.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
12.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

series174.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
26.0ms	(/ x (+ wj 1))
27.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	711	1588
1	3215	1534
2	5001	1532

prune450.0ms

Filtered

177 candidates to 125 candidates (70.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	177	7	184

Merged error: 0.1b

Counts

184 → 7

Details

sample56.0ms

simplify47.0ms

prune6.0ms

localize9.0ms

rewrite58.0ms

series140.0ms

simplify82.0ms

prune367.0ms

localize7.0ms

rewrite10.0ms

series48.0ms

simplify72.0ms

prune61.0ms

localize9.0ms

rewrite38.0ms

series113.0ms

simplify70.0ms

prune340.0ms

localize14.0ms

rewrite79.0ms

series174.0ms

simplify82.0ms

prune450.0ms

regimes118.0ms

bsearch2.0ms

Profiling