Details

sample68.0ms

Algorithm

intervals

Results

35.0ms	147×	body	5120	exit
7.0ms	203×	body	80	valid
3.0ms	107×	body	80	overflowed
3.0ms	25×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	17×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (5.0ms)

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

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 12.5b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite55.0ms

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	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
11.0ms	(/ (/ x (+ wj 1)) (exp wj))
28.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
3.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
15.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify77.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (60.0ms)

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

prune251.0ms

Filtered

138 candidates to 188 candidates (-36.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	184	6	190

Merged error: 0.3b

Counts

190 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 2 (* wj x))
6.0ms	(+ x (pow wj 2))

simplify64.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (15.0ms)

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

prune57.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Merged error: 0.3b

Counts

42 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ wj 1))
0.0b	(/ (/ 1 (+ wj 1)) (exp wj))
0.0b	(/ wj (+ wj 1))
4.0b	(- (+ (* x (/ (/ 1 (+ wj 1)) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite47.0ms

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`
15×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`associate-/r*`
9×	`div-exp` `add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`pow1` `cbrt-undiv`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `diff-log` `1-exp` `frac-sub` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `associate--l+` `sum-log` `flip--` `associate-/l/` `distribute-lft-out--` `inv-pow`

Counts

4 → 181

Calls

4 calls:

5.0ms	(/ 1 (+ wj 1))
11.0ms	(/ (/ 1 (+ wj 1)) (exp wj))
5.0ms	(/ wj (+ wj 1))
19.0ms	(- (+ (* x (/ (/ 1 (+ wj 1)) (exp wj))) wj) (/ wj (+ wj 1)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (+ wj 1))
4.0ms	(/ (/ 1 (+ wj 1)) (exp wj))
2.0ms	(/ wj (+ wj 1))
15.0ms	(- (+ (* x (/ (/ 1 (+ wj 1)) (exp wj))) wj) (/ wj (+ wj 1)))

simplify77.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	711	1577
1	3600	1385
2	5002	1384

prune193.0ms

Filtered

108 candidates to 193 candidates (-78.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	194	7	201

Merged error: 0.3b

Counts

201 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(- (- 0 (log (+ wj 1))) wj)
4.0b	(- (+ (* x (exp (- (- 0 (log (+ wj 1))) wj))) wj) (/ wj (+ wj 1)))
6.1b	(log (+ wj 1))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`times-frac` `add-log-exp`
7×	`add-exp-log`
6×	`pow1` `add-cbrt-cube` `distribute-lft-out--`
5×	`diff-log` `associate--l+` `distribute-lft-out`
4×	`log-div` `log-prod` `flip3-+` `associate-/r*` `flip-+`
3×	`sub-neg` `associate-/l*` `difference-of-squares`
2×	`flip3--` `associate-/r/` `log-pow` `frac-sub` `flip--` `associate--r-`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

5.0ms	(/ wj (+ wj 1))
7.0ms	(- (- 0 (log (+ wj 1))) wj)
21.0ms	(- (+ (* x (exp (- (- 0 (log (+ wj 1))) wj))) wj) (/ wj (+ wj 1)))
3.0ms	(log (+ wj 1))

series23.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ wj (+ wj 1))
3.0ms	(- (- 0 (log (+ wj 1))) wj)
15.0ms	(- (+ (* x (exp (- (- 0 (log (+ wj 1))) wj))) wj) (/ wj (+ wj 1)))
3.0ms	(log (+ wj 1))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	490	801
1	2184	738
2	5001	731

prune154.0ms

Filtered

76 candidates to 101 candidates (-32.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0.3b

Counts

108 → 7

regimes110.0ms

Accuracy

69.3% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.2b

bsearch18.0ms

Steps

Iters	Range		Point
9	2.0589740912637166e-15	4.023680833981601e-08	9.295218347319678e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

814.0ms	3746×	body	5120	exit
221.0ms	6300×	body	80	valid
117.0ms	3631×	body	80	overflowed
85.0ms	771×	body	320	valid
80.0ms	451×	body	640	valid
40.0ms	558×	body	160	valid

Details

sample68.0ms

simplify44.0ms

prune8.0ms

localize9.0ms

rewrite55.0ms

series35.0ms

simplify77.0ms

prune251.0ms

localize7.0ms

rewrite9.0ms

series10.0ms

simplify64.0ms

prune57.0ms

localize10.0ms

rewrite47.0ms

series23.0ms

simplify77.0ms

prune193.0ms

localize12.0ms

rewrite38.0ms

series23.0ms

simplify55.0ms

prune154.0ms

regimes110.0ms

bsearch18.0ms

simplify1.0ms

end0.0ms

sample1.8s

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