Details

sample58.0ms

Algorithm

intervals

Results

26.0ms	128×	body	5120	exit
7.0ms	215×	body	80	valid
4.0ms	118×	body	80	overflowed
2.0ms	14×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	12×	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

prune7.0ms

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: 10.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
3.2b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite59.0ms

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:

5.0ms	(/ wj (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
30.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
23.0ms	(/ x (+ wj 1))
55.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify79.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5002	1469

prune409.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.1b

Counts

190 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

5.0ms	(* 2 (* wj x))
11.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 2 (* wj x))
30.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

simplify110.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	162	194
1	645	176
2	3836	174
3	5001	174

prune62.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.1b

Counts

43 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
0.2b	(/ 1 (/ (+ wj 1) wj))
5.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ 1 (/ (+ wj 1) wj)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

216×	`times-frac`
179×	`*-un-lft-identity`
127×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
30×	`distribute-lft-out`
24×	`associate-/l*`
23×	`associate-/r*`
20×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`div-inv`
11×	`div-exp` `associate-/r/`
9×	`add-log-exp`
7×	`cbrt-undiv`
6×	`flip3-+` `flip-+`
5×	`pow1` `difference-of-squares`
4×	`distribute-lft-out--`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `diff-log` `1-exp` `frac-sub`
1×	`sub-neg` `flip3--` `pow-flip` `associate--l+` `sum-log` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 236

Calls

4 calls:

9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
8.0ms	(/ 1 (/ (+ wj 1) wj))
43.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ 1 (/ (+ wj 1) wj)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (/ x (+ wj 1)) (exp wj))
23.0ms	(/ x (+ wj 1))
21.0ms	(/ 1 (/ (+ wj 1) wj))
61.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ 1 (/ (+ wj 1) wj)))

simplify98.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	939	2125
1	4655	1903
2	5001	1900

prune420.0ms

Filtered

248 candidates to 147 candidates (59.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	248	5	253

Merged error: 0.1b

Counts

253 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (* (exp wj) (+ wj 1)))
0.0b	(/ wj (+ wj 1))
0.0b	(* (exp wj) (+ wj 1))
3.2b	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`times-frac`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`add-log-exp`
6×	`pow1` `distribute-lft-out` `associate-/l*`
5×	`associate-/r*`
4×	`flip3-+` `associate-r/` `associate-r*` `associate-/r/` `flip-+`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`frac-2neg` `diff-log` `prod-exp` `clear-num` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

11.0ms	(/ x (* (exp wj) (+ wj 1)))
5.0ms	(/ wj (+ wj 1))
7.0ms	(* (exp wj) (+ wj 1))
18.0ms	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x (* (exp wj) (+ wj 1)))
21.0ms	(/ wj (+ wj 1))
40.0ms	(* (exp wj) (+ wj 1))
55.0ms	(- (+ (/ x (* (exp wj) (+ wj 1))) wj) (/ wj (+ wj 1)))

simplify63.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	493	762
1	2288	711
2	5001	708

prune198.0ms

Filtered

111 candidates to 79 candidates (71.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Merged error: 0.1b

Counts

116 → 5

regimes58.0ms

Accuracy

64.8% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 1.9b

bsearch36.0ms

Steps

Iters	Range		Point
8	2.283017230680846e-11	1.4358440906352691e-08	8.775024225960442e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	28	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

819.0ms	3781×	body	5120	exit
232.0ms	6345×	body	80	valid
125.0ms	3709×	body	80	overflowed
88.0ms	764×	body	320	valid
79.0ms	469×	body	640	valid
41.0ms	514×	body	160	valid

Details

sample58.0ms

simplify47.0ms

prune7.0ms

localize9.0ms

rewrite59.0ms

series144.0ms

simplify79.0ms

prune409.0ms

localize7.0ms

rewrite16.0ms

series50.0ms

simplify110.0ms

prune62.0ms

localize10.0ms

rewrite77.0ms

series150.0ms

simplify98.0ms

prune420.0ms

localize9.0ms

rewrite44.0ms

series156.0ms

simplify63.0ms

prune198.0ms

regimes58.0ms

bsearch36.0ms

simplify1.0ms

end0.0ms

sample1.7s

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