Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	86×	body	1280	valid
0.0hr	52×	body	640	valid
0.0hr	157×	body	80	valid
0.0hr	22×	body	320	valid
0.0hr	20×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune0.0hr

Filtered

1 candidates to 0 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: 33.0b

Counts

2 → 1

localize0.0hr

Local error

Found 1 expressions with local error:

5.6b	(- (exp (* a x)) 1.0)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

0.0hr

(- (exp (* a x)) 1.0)

series0.0hr

Counts

1 → 3

Calls

1 calls:

0.0hr

(- (exp (* a x)) 1.0)

simplify0.0hr

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	103	100
1	300	92
2	1055	90
3	5001	90

prune0.0hr

Filtered

17 candidates to 12 candidates (29.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	10	7	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	11	7	18

Merged error: 9.4b

Counts

18 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
8.0b	(* (* 1/2 (pow a 2)) x)
11.1b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
17.9b	(* (pow a 3) (pow x 3))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 113

Calls

4 calls:

0.0hr	(* x (+ a (* (* 1/2 (pow a 2)) x)))
0.0hr	(* (* 1/2 (pow a 2)) x)
0.0hr	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
0.0hr	(* (pow a 3) (pow x 3))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* x (+ a (* (* 1/2 (pow a 2)) x)))
0.0hr	(* (* 1/2 (pow a 2)) x)
0.0hr	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
0.0hr	(* (pow a 3) (pow x 3))

simplify0.0hr

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	471	797
1	2758	737
2	5001	737

prune0.0hr

Filtered

125 candidates to 75 candidates (40.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 2.5b

Counts

132 → 7

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (pow a 2))
0.3b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
8.0b	(* (* 1/2 (pow a 2)) x)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`add-cbrt-cube`
11×	`prod-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `associate-l`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`*-commutative` `add-log-exp`
2×	`pow-to-exp` `associate-*r/` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 68

Calls

3 calls:

0.0hr	(* 1/2 (pow a 2))
0.0hr	(* x (+ a (* (* 1/2 (pow a 2)) x)))
0.0hr	(* (* 1/2 (pow a 2)) x)

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(* 1/2 (pow a 2))
0.0hr	(* x (+ a (* (* 1/2 (pow a 2)) x)))
0.0hr	(* (* 1/2 (pow a 2)) x)

simplify0.0hr

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	296	366
1	1630	322
2	5001	319

prune0.0hr

Filtered

77 candidates to 47 candidates (39.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.3b

Counts

84 → 6

localize0.0hr

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0hr

Counts: 0 → 0

simplify0.0hr

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	0	0

prune0.0hr

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 0.3b

Counts

6 → 6

regimes0.0hr

Accuracy

97.9% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 21.8b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	21	16
1	21	16

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	2708×	body	1280	valid
0.0hr	1307×	body	640	valid
0.0hr	5406×	body	80	valid
0.0hr	750×	body	320	valid
0.0hr	371×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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